CN118036272A - Diphase stainless steel processing technology based on stress mixing rule - Google Patents
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Abstract
本发明公开了一种基于应力混合定则的双相不锈钢加工工艺,包括如下步骤:S1:建立双相材料两相应力求解模型,将双相材料的两相应力区分求解出来;S2:建立考虑刀具前角以及切削用量的两相显微硬度解算模型,揭示刀具前角和切削用量对两相显微硬度的影响规律;S3:揭示刀具前角和切削用量对切屑中两相显微硬度分布特性的影响规律,在两相显微硬度分布一致的条件下,获得刀具前角与切削用量的匹配关系,优化双相不锈钢的加工工艺。本发明通过材料力学相关知识,揭示双相材料两相应力分布对两相显微硬度的影响规律。结合显微硬度与塑性应变关系建立考虑刀具前角和切削用量的两相显微硬度解算模型,解决了两相显微硬度分布不确定的问题。
The present invention discloses a duplex stainless steel processing technology based on the stress mixing rule, comprising the following steps: S1: establishing a two-phase stress solution model for duplex materials, distinguishing and solving the two-phase stress of the duplex materials; S2: establishing a two-phase microhardness solution model considering the tool rake angle and cutting amount, revealing the influence of the tool rake angle and cutting amount on the two-phase microhardness; S3: revealing the influence of the tool rake angle and cutting amount on the distribution characteristics of the two-phase microhardness in the chips, and obtaining the matching relationship between the tool rake angle and the cutting amount under the condition that the two-phase microhardness distribution is consistent, so as to optimize the processing technology of duplex stainless steel. The present invention reveals the influence of the two-phase stress distribution of duplex materials on the two-phase microhardness through the knowledge related to material mechanics. In combination with the relationship between microhardness and plastic strain, a two-phase microhardness solution model considering the tool rake angle and cutting amount is established, which solves the problem of uncertain distribution of the two-phase microhardness.
Description
本申请为申请号202310278952.9,申请日2023年03月21日,申请时发明名称为“一种基于两相硬度分布一致性的双相不锈钢加工工艺”的分案申请。This application is a divisional application with application number 202310278952.9 and application date March 21, 2023. The invention name at the time of application was “A duplex stainless steel processing technology based on consistency of two-phase hardness distribution”.
技术领域Technical Field
本发明属于切削双相不锈钢两相显微硬度分布技术领域,具体涉及一种基于应力混合定则的双相不锈钢加工工艺。The invention belongs to the technical field of two-phase microhardness distribution of cutting duplex stainless steel, and in particular relates to a duplex stainless steel processing technology based on the stress mixing rule.
背景技术Background technique
切削S32760过程中,剪切区两相发生剧烈的塑性变形,而两相的材料力学性能的差异与演化形式不同,导致两相应力分布不均。针对在切削加工过程中已有模型无法分别求解切削两相材料应力的问题,考虑到在切削过程中两相材料两相应力分布的不一致性,建立了求解双相材料两相应力模型。During the cutting process of S32760, the two phases in the shear zone undergo severe plastic deformation, and the difference in the mechanical properties of the two phases and the different evolution forms lead to uneven distribution of the two-phase stress. In view of the problem that the existing models cannot solve the stress of the two phases of cutting materials separately during the cutting process, considering the inconsistency of the distribution of the two-phase stress of the two phases during the cutting process, a model for solving the two-phase stress of the two-phase material is established.
目前已知刀具前角和切削用量对已加工表面两相的显微硬度有显著影响,但缺乏切削加工双相不锈钢的微观组织显微硬度解算模型,对微观组织与切削工艺的映射关系缺少关键性结论。因此本发明建立了一个考虑到刀具前角和切削用量的两相显微硬度解算模型,揭示刀具前角和切削用量对两相显微硬度的影响,以此作为双相不锈钢加工工艺优化的基础。It is currently known that the tool rake angle and cutting amount have a significant effect on the microhardness of the two phases of the machined surface, but there is a lack of a microstructure microhardness solution model for cutting duplex stainless steel, and there is a lack of key conclusions on the mapping relationship between microstructure and cutting process. Therefore, the present invention establishes a two-phase microhardness solution model that takes into account the tool rake angle and cutting amount, reveals the influence of the tool rake angle and cutting amount on the two-phase microhardness, and uses this as the basis for optimizing the duplex stainless steel processing technology.
传统改进加工工艺的方法,只单独集中于对刀具前角或切削用量的修改,并未考虑刀具前角与切削用量之间的匹配对两相显微硬度硬度分布的影响。因此本发明基于已建立的两相显微硬度解算模型,揭示刀具前角和切削用量对切屑中两相显微硬度分布特性的影响规律,在两相显微硬度分布一致的条件下,获得了刀具前角与切削用量的匹配关系,优化双相不锈钢加工工艺。Traditional methods for improving processing technology only focus on modifying the tool rake angle or cutting amount, and do not consider the influence of the matching between the tool rake angle and the cutting amount on the hardness distribution of the two-phase microhardness. Therefore, based on the established two-phase microhardness solution model, the present invention reveals the influence of the tool rake angle and cutting amount on the two-phase microhardness distribution characteristics in the chips. Under the condition that the two-phase microhardness distribution is consistent, the matching relationship between the tool rake angle and the cutting amount is obtained, and the duplex stainless steel processing technology is optimized.
发明内容Summary of the invention
本发明的目的在于提供一种基于应力混合定则的双相不锈钢加工工艺,以解决上述背景技术中提出的问题。The object of the present invention is to provide a duplex stainless steel processing technology based on the stress mixing rule to solve the problems raised in the above background technology.
为实现上述目的,本发明提供如下技术方案:一种基于应力混合定则的双相不锈钢加工工艺,包括如下步骤:To achieve the above object, the present invention provides the following technical solution: a duplex stainless steel processing technology based on the stress mixing rule, comprising the following steps:
S1:基于应力混合定则,建立双相材料两相应力求解模型,将双相材料的两相应力区分求解出来;S1: Based on the stress mixing rule, a two-phase material two-phase stress solution model is established to distinguish and solve the two-phase stress of the two-phase material;
S2:建立考虑刀具前角以及切削用量的两相显微硬度解算模型,揭示刀具前角和切削用量对两相显微硬度的影响规律;S2: Establish a two-phase microhardness calculation model considering the tool rake angle and cutting amount, and reveal the influence of tool rake angle and cutting amount on the two-phase microhardness;
S3:基于已建立的两相显微硬度解算模型,揭示刀具前角和切削用量对切屑中两相显微硬度分布特性的影响规律,在两相显微硬度分布一致的条件下,获得刀具前角与切削用量的匹配关系,优化双相不锈钢的加工工艺。S3: Based on the established two-phase microhardness solution model, the influence of tool rake angle and cutting amount on the two-phase microhardness distribution characteristics in the chip is revealed. Under the condition of consistent distribution of two-phase microhardness, the matching relationship between tool rake angle and cutting amount is obtained to optimize the processing technology of duplex stainless steel.
1.剪切区内多物理场分布提取方法:1. Extraction method of multi-physical field distribution in shear zone:
(1)直角切削剪切区示意图如图2所示,通过分析剪切区力矩平衡关系,结合S32760双相本构模型预测切削力,通过切削用量求解切削力。FEBA与ABCD分别为等分剪切区的上半部分与下半部分,AG为刀具-切屑接触长度,表示为htc。(1) The schematic diagram of the right-angle cutting shear zone is shown in Figure 2. The cutting force is predicted by analyzing the moment balance relationship in the shear zone and combining the S32760 two-phase constitutive model, and the cutting force is solved by the cutting parameters. FEBA and ABCD are the upper and lower halves of the shear zone, respectively, and AG is the tool-chip contact length, expressed as h tc .
(2)剪切面分析(2) Shear surface analysis
根据剪切面和刀具-切屑界面的平衡条件,各切削分量和切屑厚度t2可通过以下公式求得:According to the equilibrium conditions of the shear plane and the tool-chip interface, each cutting component and the chip thickness t2 can be obtained by the following formula:
Ft=FRsin(λ-α) (1)F t = FR sin(λ-α) (1)
Ff=FRsinλ (2)F f = FR sinλ (2)
Fn=FRcos(λ) (3) Fn = FR cos(λ) (3)
FN=FR sinθ (5)F N = FR sinθ (5)
式中:α为刀具前角;φ为剪切面AB与切削速度方向之间的夹角,即剪切角;λ为摩擦角;t1为未变形切屑厚度;w为切削宽度;Fc和Ft为切削力在切削方向和垂直于切削方向上的分量;Ff为刀具-切屑界面的摩擦力;Fs为剪切面上的切削力;FN和Fn分别为剪切面和刀具-切屑界面的法向力;剪切面处的法向力FN和剪切面处切削力Fs的合力与刀具-切屑界面的法向力Fn和刀具-切屑界面的摩擦力Ff的合力是一对平衡力;切屑形成力FR沿切削方向与垂直于切削方向被分解为Fc和Ft。θ为FR与AB的夹角;σAB表示剪切面平均流变应力。Where: α is the tool rake angle; φ is the angle between the shear plane AB and the cutting speed direction, i.e., the shear angle; λ is the friction angle; t1 is the undeformed chip thickness; w is the cutting width; Fc and Ft are the components of the cutting force in the cutting direction and perpendicular to the cutting direction; Ff is the friction force at the tool-chip interface; Fs is the cutting force on the shear plane; FN and Fn are the normal forces at the shear plane and the tool-chip interface, respectively; the resultant force of the normal force F N at the shear plane and the cutting force F s at the shear plane and the resultant force of the normal force F n at the tool-chip interface and the friction force F f at the tool-chip interface are a pair of balanced forces; the chip forming force FR is decomposed into F c and F t along the cutting direction and perpendicular to the cutting direction. θ is the angle between FR and AB; σAB represents the average flow stress on the shear plane.
A到B上的任一点沿切削方向以及垂直于切削方向的速度和位移增量分别为:The velocity and displacement increments of any point from A to B along the cutting direction and perpendicular to the cutting direction are:
其中:V为切削速度;ΔS1是EF和CD之间垂直的高度。Where: V is the cutting speed; ΔS1 is the vertical height between EF and CD.
第一变形区任一质点速度与剪切区平均剪切应变速率关系:The relationship between the velocity of any particle in the first deformation zone and the average shear strain rate in the shear zone is:
将式(7)和式(8)代入上式(9),可得平均剪应变速率表达式:Substituting equations (7) and (8) into equation (9), we can obtain the expression of average shear strain rate:
通过迭代计算剪切角φ,基于剪切区平衡条件确定剪切角φ,剪切面AB处任一质点的平均等效应变和等效应变率可用下式表示:The shear angle φ is calculated iteratively and determined based on the equilibrium condition of the shear zone. The average equivalent strain and equivalent strain rate of any particle at the shear surface AB can be expressed by the following formula:
根据图2的速度矢量关系可以求得切屑材料流动速度Vc和剪切面的材料流动速度Vs:According to the velocity vector relationship in Figure 2, the material flow velocity V c of the chip and the material flow velocity V s of the shear surface can be obtained:
基于Oxley切削理论,剪切区的平均温度:Based on Oxley cutting theory, the average temperature in the shear zone is:
式中:Tr为工件温度,η为平均温度系数,分析中取0.9;ρ为材料密度;Cw比热容,其中β为剪切区第一变形区的剪切变形热量传导工件材料的比值,计算如下:Where: Tr is the workpiece temperature, η is the average temperature coefficient, which is taken as 0.9 in the analysis; ρ is the material density; Cw is the specific heat capacity, where β is the ratio of the shear deformation heat conduction to the workpiece material in the first deformation zone of the shear zone, calculated as follows:
式中:Kw为热传导系数。Where: Kw is the thermal conductivity coefficient.
由于工件塑性变形导致在剪切带处存在高应变、高应变率、高温的切削环境,在Oxley理论模型中,使用S32760双相本构模型预测剪切区中的流变应力:Due to the plastic deformation of the workpiece, there is a high strain, high strain rate, and high temperature cutting environment in the shear zone. In the Oxley theoretical model, the S32760 two-phase constitutive model is used to predict the flow stress in the shear zone:
剪切区内Fn和Fr之间的夹角为摩擦角,可用计算。根据Oxley理论,可得根据迭代计算出的剪切角/>即可求得夹角θ。The angle between Fn and Fr in the shear zone is the friction angle, which can be Calculation. According to Oxley theory, we can get According to the iterative calculation of the shear angle/> The angle θ can be obtained.
第一变形区应变率常数C0从材料加工硬化机理出发,考虑了材料应变的影响,其表达式为:The strain rate constant C0 in the first deformation zone is based on the material work hardening mechanism and takes into account the influence of material strain. Its expression is:
式中:COxley为第一变形区剪切带长宽比;AJC、BJC和nJC分别为JC本构参数。Where: C Oxley is the aspect ratio of the shear band in the first deformation zone; A JC , B JC and n JC are the JC constitutive parameters, respectively.
在考虑切削热和切削力耦合作用下的Oxley直角切削模型中,对于迭代计算剪切区温度时,需要在假定在剪切区初始温度下的流变应力,根据求得的流变应力计算剪切区内分力,然后使用剪切区平衡温度公式更新剪切区温度,不断重复这个过程直至更新温度与剪切区温度之间相差小于0.1摄氏度,即认为此时温度为剪切区温度。后根据输出剪切带温度、剪切带等效应变和剪切带应变率计算剪切带AB处的流变应力。最终计算FR,并根据等分剪切区的几何关系分析其他分力。In the Oxley right-angle cutting model considering the coupling of cutting heat and cutting force, when iteratively calculating the shear zone temperature, it is necessary to assume the rheological stress at the initial temperature of the shear zone, calculate the component force in the shear zone based on the obtained rheological stress, and then use the shear zone equilibrium temperature formula to update the shear zone temperature. Repeat this process until the difference between the updated temperature and the shear zone temperature is less than 0.1 degrees Celsius, that is, the temperature at this time is considered to be the shear zone temperature. Then, the rheological stress at the shear band AB is calculated based on the output shear band temperature, the equivalent strain of the shear band, and the shear band strain rate. Finally, FR is calculated, and other component forces are analyzed based on the geometric relationship of the equally divided shear zone.
(3)刀具-切屑界面分析(3) Tool-chip interface analysis
刀具-切屑界面的等效应变和等效应变率为:The equivalent strain and equivalent strain rate of the tool-chip interface are:
式中:htc为刀具-切屑接触长度。Where: htc is the tool-chip contact length.
刀具-切屑界面的平均温度Tint表示为:The average temperature Tint of the tool-chip interface is expressed as:
Tint=Tr+ΔTSZ+ψΔTM (22) Tint = Tr +ΔT SZ + ψΔTM (22)
式中:ψ为修正系数;ΔTM为切屑中的最大温升;ΔTC为切屑中的平均温升;ΔTSZ为第一变形区温升。Where: ψ is the correction coefficient; ΔTM is the maximum temperature rise in the chip; ΔTC is the average temperature rise in the chip; ΔTSZ is the temperature rise in the first deformation zone.
(3)多物理场提取过程(3) Multi-physics field extraction process
由于剪切区的剪切角剪切区应变率系数COxley,第二变形区厚度与切屑厚度的比值δ,随切削条件,材料属性以及刀具前角变化而变化,所以设定三个变量范围作为三者迭代的范围,分别为δ∈[0.005,0.2],COxley∈[2,10],/> Due to the shear angle of the shear zone The shear zone strain rate coefficient C Oxley and the ratio of the second deformation zone thickness to the chip thickness δ vary with cutting conditions, material properties and tool rake angle, so three variable ranges are set as the ranges of the three iterations, namely δ∈[0.005,0.2], C Oxley ∈[2,10],/>
由剪切面几何条件分析可知切削力(Fc):From the analysis of the shear surface geometry, we can know that the cutting force (F c ) is:
Fc=FR cos(λ-α) (25)F c = FR cos(λ-α) (25)
图2中B点的正应力σ′N可结合剪切面的平均流变应力得到:The normal stress σ′ N at point B in Figure 2 can be obtained by combining the average flow stress of the shear surface:
假设刀具-切屑界面应力均匀分布,得到刀具-切屑界面应力τint和应力σN表达式为:Assuming that the tool-chip interface stress is uniformly distributed, the expressions of tool-chip interface stress τ int and stress σ N are obtained as follows:
(4)剪切区多物理场分布的提取(4) Extraction of multi-physics field distribution in shear zone
根据直角切削等分剪切区模型,提取剪切角第一变形区长宽比COxley、第二变形区厚度与切削厚度比值δ、剪切区温度TAB、剪切区应变εAB、剪切区应变率/>剪切应力σAB。Extract the shear angle based on the model of dividing the shear zone into equal parts by right-angle cutting The first deformation zone aspect ratio C Oxley , the second deformation zone thickness to cutting thickness ratio δ , the shear zone temperature T AB , the shear zone strain ε AB , the shear zone strain rate/> Shear stress σ AB .
表1不同切削用量下剪切区内多物理场分布Table 1 Multi-physical field distribution in the shear zone under different cutting parameters
2.双相材料两相应力求解方法:2. Method for solving the two-phase stress of two-phase materials:
切削S32760过程中,剪切区两相发生剧烈的塑性变形,而两相的材料力学性能的差异与演化形式不同,导致二者加工硬化程度有较大区别,因此通过分析切削用量与两相显微硬度之间的影响规律,揭示两相在切削过程中动态力学行为的差异。During the cutting process of S32760, the two phases in the shear zone undergo severe plastic deformation. The difference in the mechanical properties of the two phases and their different evolution forms lead to a large difference in the degree of work hardening between the two phases. Therefore, by analyzing the influence of cutting parameters and the microhardness of the two phases, the difference in the dynamic mechanical behavior of the two phases during the cutting process is revealed.
通过对于基体两相的显微硬度测量可知,基体的铁素体相显微硬度较高,这符合S32760中铁素体硬相度较高的特点,而切削后的两相经过塑性变形,加工硬化程度有很大区别。Through the microhardness measurement of the two phases of the matrix, it can be seen that the ferrite phase of the matrix has a higher microhardness, which is consistent with the characteristics of the higher hardness of the ferrite phase in S32760. The two phases after cutting undergo plastic deformation, and the degree of work hardening is very different.
表2不同进给量下剪切区两相加工硬化程度Table 2 Work hardening degree of two phases in shear zone under different feed rates
从图3中可以看出,切屑的奥氏体相和铁素体相显微硬度随进给量的增加而降低,从表2可以看出两相加工硬化程度也随进给量的增加而减小,进给量增加,剪切应变随之降低,平均剪切应变率随之降低,硬化程度降低,而温度基本不受影响,所以由温度主导的热软化效应基本不变,此时随进给量的增加,两相的加工硬化效应降低而温度主导的热软化效应不变,所以剪切区两相加工硬化程度随之降低。It can be seen from Figure 3 that the microhardness of the austenite phase and ferrite phase of the chip decreases with the increase of feed rate. It can be seen from Table 2 that the degree of work hardening of the two phases also decreases with the increase of feed rate. With the increase of feed rate, the shear strain decreases, the average shear strain rate decreases, the degree of hardening decreases, and the temperature is basically unaffected, so the thermal softening effect dominated by temperature remains basically unchanged. At this time, with the increase of feed rate, the work hardening effect of the two phases decreases, while the thermal softening effect dominated by temperature remains unchanged, so the degree of work hardening of the two phases in the shear zone decreases.
S32760在切削加工过程中,受到刀具挤压以及摩擦等外力作用,由力热耦合作用下,工件材料在剪切区的流变应力一般存在应变硬化效应、应变率强化效应以及热软化效应。应变硬化效应是指材料的流变应力会随应变的增加而增加;应变率强化效应是指材料的流变应力会随着应变率的增加而增加;热软化效应则是表征材料的流变应力会随着温度的升高而减小。流变应力与材料显微硬度成正比。因此,分析S32760切屑剪切区两相流变应力需要考虑剪切区温度、应变、应变率之间的关系。During the cutting process, S32760 is subjected to external forces such as tool extrusion and friction. Under the action of mechanical and thermal coupling, the rheological stress of the workpiece material in the shear zone generally has strain hardening effect, strain rate strengthening effect and thermal softening effect. The strain hardening effect refers to the increase of the rheological stress of the material with the increase of strain; the strain rate strengthening effect refers to the increase of the rheological stress of the material with the increase of strain rate; the thermal softening effect characterizes that the rheological stress of the material decreases with the increase of temperature. The rheological stress is proportional to the microhardness of the material. Therefore, the analysis of the two-phase rheological stress in the shear zone of the S32760 chip needs to consider the relationship between the temperature, strain and strain rate in the shear zone.
基于材料力学,维氏显微硬度值与流变应力成正比,因此有:Based on material mechanics, the Vickers microhardness value is proportional to the flow stress, so:
HV=Cσ (28)HV=Cσ (28)
式中:C为常数。Where: C is a constant.
基于上式可知,预测两相显微硬度需知两相流变应力,切屑的流变应力可近似认为是剪切应力。Based on the above formula, it can be seen that the rheological stress of the two phases is required to predict the microhardness of the two phases. The rheological stress of the chips can be approximately regarded as the shear stress.
应力混合定则的先提条件是假设材料变形过程中两相的应变相同,但无论是准静态拉伸还是动态压缩实验,由于两相的力学性能的差异巨大,导致两相在塑性变形过程中互相存在竞争耦合作用。因此,采用多相材料的通用处理办法,即在保留两相应力混合定则的基础上,将两相应变也以混合定律的形式表达。The prerequisite of the stress mixing law is to assume that the strains of the two phases are the same during the deformation of the material. However, whether it is a quasi-static tension or dynamic compression experiment, the huge difference in the mechanical properties of the two phases leads to a competitive coupling effect between the two phases during the plastic deformation process. Therefore, a general treatment method for multiphase materials is adopted, that is, on the basis of retaining the two-phase stress mixing law, the two-phase strains are also expressed in the form of a mixing law.
σ(ε)=F·σ1(ε1)+(1-F)·σ2(ε2) (29)σ(ε)=F·σ 1 (ε 1 )+(1-F)·σ 2 (ε 2 ) (29)
ε=F·ε1+(1-F)·ε2 (30)ε=F·ε 1 +(1-F)·ε 2 (30)
式中:ε1、ε2分别为奥氏体相的应变值和铁素体相的应变值。Where: ε 1 and ε 2 are the strain values of the austenite phase and the ferrite phase, respectively.
此时需要考虑S32760基体中两相比例,故S32760基体使用SEM扫描电镜观察,分析两相比例,500倍数下S32760基体金相组织图(如图23所示)。At this time, it is necessary to consider the ratio of the two phases in the S32760 matrix. Therefore, the S32760 matrix is observed using a SEM scanning electron microscope to analyze the ratio of the two phases. The metallographic structure diagram of the S32760 matrix at 500 times is shown in Figure 23.
分析可知奥氏体相与铁素体相体积分数比例为23/27,故F=0.46。Analysis shows that the volume fraction ratio of austenite phase to ferrite phase is 23/27, so F=0.46.
奥氏体相的剪切应变和铁素体相的剪切应变,如表3所示。The shear strain of the austenite phase and the shear strain of the ferrite phase are shown in Table 3.
表3剪切区两相剪切应变和剪切应力Table 3 Shear strain and shear stress of two phases in shear zone
从图4中可以看出,对比1-3组和4-6组可以发现,奥氏体相应变随切削速度减小后增加,铁素体相应变随切削速度增加后减小。从图5中可以看出,对比1-3组和4-6组,奥氏体相和铁素体相流变应力随切削速度的增加而增加。As can be seen from Figure 4, by comparing Groups 1-3 and 4-6, it can be found that the austenite phase strain increases as the cutting speed decreases, and the ferrite phase strain decreases as the cutting speed increases. As can be seen from Figure 5, by comparing Groups 1-3 and 4-6, the rheological stress of the austenite phase and the ferrite phase increases as the cutting speed increases.
3.双相材料两相显微硬度解算模型构建方法:3. Construction method of two-phase microhardness calculation model for dual-phase materials:
(1)刀具前角以及切削用量对切屑两相显微硬度的影响规律(1) The influence of tool rake angle and cutting amount on the microhardness of chip two phases
表4不同前角和不同切削用量的切屑两相显微硬度预测值Table 4 Prediction of chip two-phase microhardness at different rake angles and different cutting parameters
基于表4,图6为进给量为0.3mm/r下不同切削速度的奥氏体相和铁素体相显微硬度。Based on Table 4, Figure 6 shows the microhardness of austenite and ferrite phases at different cutting speeds with a feed rate of 0.3 mm/r.
由图6可以看出随着切削速度的不断增加两相显微硬度不断提高。It can be seen from Figure 6 that the microhardness of the two phases increases with the increasing cutting speed.
基于表4,图7为切削速度为106m/min的不同进给量的奥氏体相与铁素体相显微硬度。Based on Table 4, Figure 7 shows the microhardness of austenite and ferrite phases at different feed rates at a cutting speed of 106 m/min.
由图7可以看出在切削速度一样的条件下两相显微硬度随着进给量的增加而降低。It can be seen from Figure 7 that under the same cutting speed, the microhardness of the two phases decreases with the increase of feed rate.
基于表4,图8为不同前角对于剪切区剪切应变的影响规律。Based on Table 4, Figure 8 shows the influence of different rake angles on the shear strain in the shear zone.
从图8中可以看出,剪切区应变随前角的增大而逐渐降低,原因在于前角越大,切削刃就越锋利,对切削层的挤压逐渐减小。因此,工件的塑性变形随刀具前角的增大而降低。As can be seen from Figure 8, the shear zone strain gradually decreases with the increase of the rake angle. The reason is that the larger the rake angle, the sharper the cutting edge, and the extrusion of the cutting layer gradually decreases. Therefore, the plastic deformation of the workpiece decreases with the increase of the tool rake angle.
由图9可知,剪切区平均剪切应变率随刀具前角的增大,逐渐减小,刀具前角直接影响剪切应变率的大小。As shown in Figure 9, the average shear strain rate in the shear zone gradually decreases with the increase of the tool rake angle, and the tool rake angle directly affects the magnitude of the shear strain rate.
由图10可知,随着刀具前角的增大,剪切区平均温度降低。It can be seen from Figure 10 that as the tool rake angle increases, the average temperature in the shear zone decreases.
由图11可知,随着前角的增大,奥氏体相与铁素体相的显微硬度在不断增大。It can be seen from Figure 11 that with the increase of the front angle, the microhardness of the austenite phase and the ferrite phase continues to increase.
(2)考虑刀具前角与切削用量的两相显微硬度预测模型(2) Two-phase microhardness prediction model considering tool rake angle and cutting amount
因在实际加工过程中,很难提取切削过程中的剪切区的多物理场分布,因此从刀具前角以及切削用量方面出发,以其作为自变量,两相显微硬度作为因变量,建立考虑刀具前角与切削用量的两相显微硬度预测模型。In the actual processing, it is difficult to extract the multi-physical field distribution of the shear zone during the cutting process. Therefore, starting from the tool rake angle and cutting amount, the two-phase microhardness is used as the independent variable and the two-phase microhardness is used as the dependent variable to establish a two-phase microhardness prediction model considering the tool rake angle and cutting amount.
建立考虑切削要素的S32760奥氏体相与铁素体相显微硬度的指数经验模型,表示为:An exponential empirical model of the microhardness of the austenite and ferrite phases of S32760 considering cutting factors is established and expressed as:
式中:HV* 1为奥氏体相显微硬度预测值,HV* 2为铁素体相显微硬度预测值;Z1,Z2为与切削条件等有关的系数;p、q、m为相关系数。Where: HV * 1 is the predicted value of austenite microhardness, HV * 2 is the predicted value of ferrite microhardness; Z 1 , Z 2 are coefficients related to cutting conditions, etc.; p, q, m are correlation coefficients.
求得奥氏体相和铁素体相的显微硬度值的多目标优化模型的回归方程为:The regression equation of the multi-objective optimization model for obtaining the microhardness values of the austenite phase and the ferrite phase is:
HV* 1=25.3581v0.1307f -0.1632α0.7030 (33)HV * 1 = 25.3581v 0.1307 f -0.1632 α 0.7030 (33)
HV* 2=119.152v0.0372f -0.0696α0.3291 (34)HV * 2 = 119.152v 0.0372 f -0.0696 α 0.3291 (34)
对求得的回归方程模型有效性进行显著性检验,所得到的检验结构如表5所示。The validity of the obtained regression equation model was tested for significance, and the test structure obtained is shown in Table 5.
表5检验两相显微硬度回归模型的统计量Table 5 Statistics for testing the two-phase microhardness regression model
试验次数为n=8,自变量个数m=3,选定切削速度,进给量,刀具前角的显著性水平为α=0.05,根据查询F分布临界值表可知F0.05(3,4)=6.59,通过方差分析可知,两相显微硬度的回归方程对应得到的统计量F值均大于临界值4.07,对应的P值均小于0.05,最终可以证明建立的两相显微硬度的回归方程是显著的。The number of experiments was n=8, the number of independent variables was m=3, and the significance level of cutting speed, feed rate, and tool rake angle was selected as α=0.05. According to the query of the F distribution critical value table, F 0.05 (3,4)=6.59. Through variance analysis, it can be seen that the statistical F values corresponding to the regression equation of the two-phase microhardness are all greater than the critical value of 4.07, and the corresponding P values are all less than 0.05. Finally, it can be proved that the established regression equation of the two-phase microhardness is significant.
4.基于两相硬度分布一致性的双相不锈钢加工工艺方法:4. Duplex stainless steel processing method based on the consistency of two-phase hardness distribution:
(1)粗加工工艺参数优化(1) Optimization of rough machining process parameters
结合实际加工过程中工艺系统的稳定情况,考虑粗加工进给量较大,切削速度较低,故选取切合实际加工中的工艺参数范围,使其作为两相显微硬度一致性的约束条件,具体参数范围如下:Combined with the stability of the process system in the actual processing, considering the large feed rate and low cutting speed in rough processing, the process parameter range suitable for the actual processing is selected as the constraint condition for the consistency of the microhardness of the two phases. The specific parameter range is as follows:
表6基于两相显微硬度一致性优化的切削用量和刀具前角Table 6 Cutting parameters and tool rake angle optimized based on the consistency of two-phase microhardness
从图12中可以看出,切屑两相显微硬度差最小时,随着切削速度的增大,进给量在不断减小,可能的原因是,切削速度的增大,导致剪切区剪切应变增,平均剪切应变率增加,平均温度不断升高,而进给量的增大,导致剪切区剪切应变降低,平均剪切应变率降低,温度变化不大,可忽略,此时,剪切区平均应变率和平均温度是增长的,而剪切应变在降低,应变率的提高导致的流变应力增大程度比应变降低和温度升高导致的流变应力降低程度几乎相等,所以随着切削速度和进给量的增加,两相的流变应力比例不变,而显微硬度与流变应力成正比,因此两相显微硬度相差不大。It can be seen from Figure 12 that when the microhardness difference between the two phases of the chip is the smallest, as the cutting speed increases, the feed rate continues to decrease. The possible reason is that the increase in cutting speed leads to an increase in shear strain in the shear zone, an increase in the average shear strain rate, and a continuous increase in the average temperature, while the increase in feed rate leads to a decrease in the shear strain in the shear zone, a decrease in the average shear strain rate, and a small temperature change, which can be ignored. At this time, the average strain rate and average temperature in the shear zone are increasing, while the shear strain is decreasing. The increase in strain rate causes the increase in rheological stress to be almost equal to the decrease in rheological stress caused by the decrease in strain and the increase in temperature. Therefore, as the cutting speed and feed rate increase, the ratio of the rheological stress of the two phases remains unchanged, while the microhardness is proportional to the rheological stress. Therefore, the microhardness of the two phases is not much different.
根据表6可知,两相显微硬度分布一致,粗加工工艺参数下,两相相差最大为1.3596HV0.05,此时两相显微硬度范围在379-390HV0.05之间。两相显微硬度差最小时,铁素体相显微硬度随切削速度的增加而不断减小,而奥氏体相显微硬度没明显的趋势。According to Table 6, the microhardness distribution of the two phases is consistent. Under the rough machining process parameters, the maximum difference between the two phases is 1.3596HV 0.05 , and the microhardness range of the two phases is between 379-390HV 0.05 . When the microhardness difference between the two phases is the smallest, the microhardness of the ferrite phase decreases with the increase of cutting speed, while the microhardness of the austenite phase has no obvious trend.
表7两相显微硬度值Table 7 Microhardness values of two phases
经过双相显微硬度预测模型预测表6中各种切削条件下的两相显微硬度,由表7可知,1-6组的两相显微硬度差最高不超过16HV0.05,最小为13HV0.05,由此可知,考虑切削用量的两相显微硬度经验模型基于两相显微硬度一致性优化的切削用量符合两相显微硬度分布一致性的标准。The two-phase microhardness prediction model predicts the two-phase microhardness under various cutting conditions in Table 6. It can be seen from Table 7 that the maximum difference in the two-phase microhardness of groups 1-6 does not exceed 16HV 0.05 , and the minimum is 13HV 0.05 . It can be seen that the two-phase microhardness empirical model considering cutting parameters and the cutting parameters optimized based on the consistency of the two-phase microhardness meet the standard of the consistency of the two-phase microhardness distribution.
(2)精加工工艺参数优化(2) Optimization of finishing process parameters
结合实际加工过程中工艺系统的稳定情况,考虑精加工进给量较小,切削速度较高,故选取切合实际加工中的工艺参数范围,使其作为两相显微硬度一致性的约束条件,具体参数范围如下:Combined with the stability of the process system in the actual processing, considering that the finishing feed is small and the cutting speed is high, the process parameter range that fits the actual processing is selected as the constraint condition for the consistency of the microhardness of the two phases. The specific parameter range is as follows:
如表8所示为经过两相显微硬度分布一致性优化后得到的刀具前及切削用量。由表8可知两相显微硬度分布一致,精加工工艺参数下,两相相差最大为0.8892HV0.05,此时两相显微硬度范围在352-359HV0.05之间。Table 8 shows the tool front and cutting parameters obtained after the consistency optimization of the microhardness distribution of the two phases. It can be seen from Table 8 that the microhardness distribution of the two phases is consistent. Under the finishing process parameters, the maximum difference between the two phases is 0.8892HV 0.05 , and the microhardness range of the two phases is between 352-359HV 0.05 .
表8S32760精加工工艺参数Table 8 S32760 finishing process parameters
表9两相显微硬度值Table 9 Microhardness values of two phases
经过双相显微硬度预测模型预测表8中各种切削条件下的两相显微硬度,由表9可知,1-3组的两相显微硬度差最高不超过18HV0.05,最小为16HV0.05,由此可知,考虑切削用量的两相显微硬度经验模型基于两相显微硬度一致性优化的切削用量符合两相显微硬度分布一致性的标准。The two-phase microhardness prediction model predicts the two-phase microhardness under various cutting conditions in Table 8. It can be seen from Table 9 that the maximum difference in the two-phase microhardness of groups 1-3 does not exceed 18HV 0.05 , and the minimum is 16HV 0.05 . It can be seen that the two-phase microhardness empirical model considering cutting parameters and the cutting parameters optimized based on the consistency of the two-phase microhardness meet the standard of the consistency of the two-phase microhardness distribution.
与已经公开的技术不同之处:已有的切削双相材料剪切区流变应力求解都是将奥氏体相与铁素体相的流变应力合为一起,并未将双相材料的两相应力分别求解出,忽略了两相材料在塑性变形过程中存在的竞争耦合现象,而本发明在考虑到切削过程中的多物理场分布和两相材料的竞争耦合现象,基于应力混合定则对双相材料的两相应力分别建模,将双相材料的两相应力分别求解出来。The difference from the already disclosed technology is that the existing rheological stress solutions in the shear zone of cutting two-phase materials all combine the rheological stresses of the austenite phase and the ferrite phase, and do not solve the two-phase stresses of the two-phase materials separately, ignoring the competitive coupling phenomenon of the two-phase materials during the plastic deformation process. The present invention takes into account the multi-physical field distribution in the cutting process and the competitive coupling phenomenon of the two-phase materials, and models the two-phase stresses of the two-phase materials based on the stress mixing rule, and solves the two-phase stresses of the two-phase materials separately.
已有的双相不锈钢加工工艺未考虑切屑中奥氏体相与铁素体相的显微硬度分布一致性,只单独集中于对刀具前角或切削用量的修改。本发明建立了考虑刀具前角与切削用量的两相显微硬度预测模型,揭示了刀具前角和切削用量对显微硬度的影响规律。基于已经建立的两相显微硬度预测模型,在充分考虑到两相硬度分布一致性的情况下,获得了刀具前角与切削用量之间的匹配关系,优化了双相不锈钢加工工艺。The existing duplex stainless steel processing technology does not consider the consistency of the microhardness distribution of the austenite phase and the ferrite phase in the chips, and only focuses on the modification of the tool rake angle or cutting amount. The present invention establishes a two-phase microhardness prediction model that considers the tool rake angle and cutting amount, and reveals the influence of the tool rake angle and cutting amount on the microhardness. Based on the established two-phase microhardness prediction model, the matching relationship between the tool rake angle and the cutting amount is obtained while fully considering the consistency of the two-phase hardness distribution, and the duplex stainless steel processing technology is optimized.
与现有技术相比,本发明的有益效果是:本发明提供的一种基于两相硬度分布一致性的双相不锈钢加工工艺,本发明针对S32760切削过程剪切区奥氏体相和铁素体相显微硬度相差大的问题。结合剪切区剪切变形,提取出剪切带应变、应变率、温度等变量,基于应力混合定则对双相材料的两相应力分别建模,将双相材料的两相应力求解出来。通过材料力学相关知识,揭示双相材料两相应力分布对两相显微硬度的影响规律。结合显微硬度与塑性应变关系建立考虑刀具前角和切削用量的两相显微硬度解算模型,解决了两相显微硬度分布不确定的问题。Compared with the prior art, the beneficial effects of the present invention are as follows: the present invention provides a duplex stainless steel processing technology based on the consistency of the hardness distribution of the two phases. The present invention is aimed at the problem of large difference in microhardness between the austenite phase and the ferrite phase in the shear zone of the S32760 cutting process. Combined with the shear deformation in the shear zone, the shear band strain, strain rate, temperature and other variables are extracted, and the two-phase stresses of the duplex material are modeled separately based on the stress mixing rule, and the two-phase stresses of the duplex material are solved. Through the relevant knowledge of material mechanics, the influence of the two-phase stress distribution of the duplex material on the microhardness of the two phases is revealed. Combined with the relationship between microhardness and plastic strain, a two-phase microhardness solution model considering the tool rake angle and cutting amount is established, which solves the problem of uncertain distribution of the two-phase microhardness.
将奥氏体相显微硬度和铁素体相显微硬度之差作目标函数,以奥氏体相显微硬度和铁素体相显微硬度之差的绝对值最小作为约束条件,采用遗传算法对模型进行寻优求解,最终得到两相显微硬度一致性最优的刀具前角及切削用量,本发明经过算法验证给出了在粗加工时,刀具前角范围为3°-20°、进给量范围为0.5mm/r-1mm/r、切削速度范围为100m/min-150m/min;精加工时,刀具前角范围为3°-20°、进给量范围为0.1mm/r-0.3mm/r、切削速度范围为200m/min-250m/min。The difference between the microhardness of the austenite phase and the microhardness of the ferrite phase is used as the objective function, and the minimum absolute value of the difference between the microhardness of the austenite phase and the microhardness of the ferrite phase is used as the constraint condition. The genetic algorithm is used to optimize and solve the model, and finally the tool rake angle and cutting amount with the optimal consistency of the microhardness of the two phases are obtained. The present invention has given, through algorithm verification, that during rough machining, the tool rake angle range is 3°-20°, the feed rate range is 0.5mm/r-1mm/r, and the cutting speed range is 100m/min-150m/min; during fine machining, the tool rake angle range is 3°-20°, the feed rate range is 0.1mm/r-0.3mm/r, and the cutting speed range is 200m/min-250m/min.
附图说明BRIEF DESCRIPTION OF THE DRAWINGS
图1为本发明的逻辑框图;图2为本发明直角切削剪切区示意图;图3为本发明切削速度为106m/min的不同进给量的奥氏体相和铁素体相显微硬度示意图;图4为本发明奥氏体相和铁素体相的应变示意图;图5为本发明奥氏体相和铁素体相的剪切应力示意图;图6为本发明进给量为0.3mm/r下不同切削速度的奥氏体相和铁素体相显微硬度示意图;图7为本发明切削速度为106m/min的不同进给量的奥氏体相与铁素体相显微硬度示意图;图8为本发明不同前角对于剪切区剪切应变的影响规律示意图;图9为本发明切削速度106m/min进给量0.3mm/r时不同刀具前角的剪切区平均剪切应变率示意图;图10为本发明切削速度106m/min进给量0.3mm/r时不同刀具前角的剪切区平均温度示意图;图11为本发明切削速度106m/min进给量0.3mm/r时不同刀具前角时的奥氏体相和铁素体相显微硬度示意图;图12为本发明刀具前角为20°不同切削用量下的两相显微硬度示意图;图13为本发明切削速度为214mm/min,进给量为0.3mm的直角切削试验所测得的切削力原始数据示意图;图14为本发明滤波后数据示意图;图15为本发明进给量为0.3mm/r的试验观测Fcx切削力对比示意图;图16为本发明进给量为0.3mm/r的试验观测Fcy切削力对比示意图;图17为本发明进给量为0.4mm/r的试验观测Fcx切削力对比示意图;图18为本发明进给量为0.4mm/r的试验观测Fcy切削力对比示意图;图19为本发明直角切削S32760切屑的奥氏体相和铁素体相的显微硬度随切削速度变化的曲线示意图;图20为本发明进给量下0.3mm/r不同切削速度的第二变形区厚度比示意图;图21为本发明金刚石正四棱锥压头三维图;图22为本发明显微硬度测试示意图;图23为本发明500倍数下S32760基体金相组织图;图24为本发明实验组号1、2、3的切屑两相显微硬度压痕金相图。Fig. 1 is a logic block diagram of the present invention; Fig. 2 is a schematic diagram of the right-angle cutting shear zone of the present invention; Fig. 3 is a schematic diagram of the microhardness of the austenite phase and the ferrite phase at different feed rates at a cutting speed of 106 m/min of the present invention; Fig. 4 is a schematic diagram of the strain of the austenite phase and the ferrite phase of the present invention; Fig. 5 is a schematic diagram of the shear stress of the austenite phase and the ferrite phase of the present invention; Fig. 6 is a schematic diagram of the microhardness of the austenite phase and the ferrite phase at different cutting speeds at a feed rate of 0.3 mm/r of the present invention; Fig. 7 is a schematic diagram of the microhardness of the austenite phase and the ferrite phase at different feed rates at a cutting speed of 106 m/min of the present invention Figure; Figure 8 is a schematic diagram of the influence of different rake angles on the shear strain in the shear zone of the present invention; Figure 9 is a schematic diagram of the average shear strain rate in the shear zone of different tool rake angles when the cutting speed is 106m/min and the feed rate is 0.3mm/r; Figure 10 is a schematic diagram of the average temperature of the shear zone of different tool rake angles when the cutting speed is 106m/min and the feed rate is 0.3mm/r; Figure 11 is a schematic diagram of the microhardness of the austenite phase and the ferrite phase at different tool rake angles when the cutting speed is 106m/min and the feed rate is 0.3mm/r; Figure 12 is a schematic diagram of the microhardness of the austenite phase and the ferrite phase at different tool rake angles when the tool rake angle is 20° Fig. 13 is a schematic diagram of the raw data of the cutting force measured by the right-angle cutting test with a cutting speed of 214 mm/min and a feed rate of 0.3 mm according to the present invention; Fig. 14 is a schematic diagram of the filtered data of the present invention; Fig. 15 is a schematic diagram of the cutting force comparison of the experimental observation Fcx of the present invention with a feed rate of 0.3 mm/r; Fig. 16 is a schematic diagram of the cutting force comparison of the experimental observation Fcy of the present invention with a feed rate of 0.3 mm/r; Fig. 17 is a schematic diagram of the cutting force comparison of the experimental observation Fcx of the present invention with a feed rate of 0.4 mm/r; Fig. 18 is a schematic diagram of the cutting force comparison of the experimental observation Fcx of the present invention with a feed rate of 0. Figure 19 is a schematic diagram of the curve of the microhardness of the austenite phase and the ferrite phase of the right-angle cutting S32760 chips of the present invention changing with the cutting speed; Figure 20 is a schematic diagram of the thickness ratio of the second deformation zone at different cutting speeds of 0.3mm/r under the feed rate of the present invention; Figure 21 is a three-dimensional diagram of the diamond regular tetrahedron indenter of the present invention; Figure 22 is a schematic diagram of the microhardness test of the present invention; Figure 23 is a metallographic organization diagram of the S32760 matrix at 500 times of the present invention; Figure 24 is a metallographic diagram of the two-phase microhardness indentation of the chips of experimental group numbers 1, 2, and 3 of the present invention.
具体实施方式Detailed ways
下面将结合本发明实施例中的附图,对本发明实施例中的技术方案进行清楚、完整地描述,显然,所描述的实施例仅仅是本发明一部分实施例,而不是全部的实施例。基于本发明中的实施例,本领域普通技术人员在没有做出创造性劳动前提下所获得的所有其他实施例,都属于本发明保护的范围。The following will be combined with the drawings in the embodiments of the present invention to clearly and completely describe the technical solutions in the embodiments of the present invention. Obviously, the described embodiments are only part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection of the present invention.
本发明提供了如图1-24的一种基于两相硬度分布一致性的双相不锈钢加工工艺,包括如下步骤:The present invention provides a duplex stainless steel processing process based on the consistency of two-phase hardness distribution as shown in Figures 1-24, comprising the following steps:
S1:基于应力混合定则,建立双相材料两相应力求解模型,将双相材料的两相应力区分求解出来;S1: Based on the stress mixing rule, a two-phase material two-phase stress solution model is established to distinguish and solve the two-phase stress of the two-phase material;
S2:建立考虑刀具前角以及切削用量的两相显微硬度解算模型,揭示刀具前角和切削用量对两相显微硬度的影响规律;S2: Establish a two-phase microhardness calculation model considering the tool rake angle and cutting amount, and reveal the influence of tool rake angle and cutting amount on the two-phase microhardness;
S3:基于已建立的两相显微硬度解算模型,揭示刀具前角和切削用量对切屑中两相显微硬度分布特性的影响规律,在两相显微硬度分布一致的条件下,获得刀具前角与切削用量的匹配关系,优化双相不锈钢的加工工艺。S3: Based on the established two-phase microhardness solution model, the influence of tool rake angle and cutting amount on the two-phase microhardness distribution characteristics in the chip is revealed. Under the condition of consistent distribution of two-phase microhardness, the matching relationship between tool rake angle and cutting amount is obtained to optimize the processing technology of duplex stainless steel.
实施实例1.剪切区多物理场分布提取方法:Implementation Example 1. Multi-physics field distribution extraction method in shear zone:
(1)剪切面分析(1) Shear surface analysis
根据剪切区的几何关系和刀-屑接触区的平衡条件可得到各切削力分量以及切屑厚度t2:According to the geometric relationship of the shear zone and the equilibrium condition of the tool-chip contact zone, the cutting force components and the chip thickness t 2 can be obtained:
Ft=FR sin(λ-α) (1)F t = FR sin(λ-α) (1)
Ff=FR sinλ (2)F f = FR sinλ (2)
Fn=FR cos(λ) (3) Fn = FR cos(λ) (3)
FN=FR sinθ (5)F N = FR sinθ (5)
式中:α为刀具前角;为剪切面AB与切削速度方向之间的夹角,即剪切角;λ为摩擦角;t1为未变形切屑厚度;w为切削宽度;Fc和Ft为切屑力在切削方向和垂直于切削方向上的分量;Ff为刀具-切屑界面的摩擦力;Fs为剪切面上的切削力;FN和Fn分别为剪切面和刀具-切屑界面的法向力。剪切面处的法向力FN和剪切面处切削力Fs的合力与刀具-切屑界面的法向力Fn和刀具-切屑界面的摩擦力Ff的合力是一对平衡力;切屑形成力FR沿切削方向与垂直于切削方向被分解为Fc和Ft。θ为FR与AB的夹角;σAB表示剪切面平均流变应力。Where: α is the tool rake angle; is the angle between the shear plane AB and the cutting speed direction, i.e., the shear angle; λ is the friction angle; t1 is the undeformed chip thickness; w is the cutting width; Fc and Ft are the components of the chip force in the cutting direction and perpendicular to the cutting direction; Ff is the friction force at the tool-chip interface; Fs is the cutting force on the shear plane; FN and Fn are the normal forces at the shear plane and the tool-chip interface, respectively. The resultant force of the normal force FN at the shear plane and the cutting force Fs at the shear plane and the resultant force of the normal force Fn at the tool-chip interface and the friction force Ff at the tool-chip interface are a pair of balanced forces; the chip forming force FR is decomposed into Fc and Ft along the cutting direction and perpendicular to the cutting direction. θ is the angle between FR and AB; σAB represents the average flow stress on the shear plane.
A到B上的任一点沿切削方向以及垂直于切削方向的速度和位移增量分别为:The velocity and displacement increments of any point from A to B along the cutting direction and perpendicular to the cutting direction are:
其中:V为切削速度;ΔS1是EF和CD之间垂直的高度。Where: V is the cutting speed; ΔS1 is the vertical height between EF and CD.
图2中剪切区中第一变形区任一质点速度分量与剪切区平均剪切应变速率存在以下关系:In Figure 2, the velocity component of any particle in the first deformation zone in the shear zone and the average shear strain rate in the shear zone have the following relationship:
将式(7)和式(8)代入上式(9),可得平均剪应变速率表达式:Substituting equations (7) and (8) into equation (9), we can obtain the expression of average shear strain rate:
通过迭代计算剪切角基于剪切区平衡条件确定剪切角/>剪切面AB处任一质点的平均等效应变和等效应变率可用下式表示:Calculate the shear angle by iteration Determine the shear angle based on the equilibrium condition of the shear zone/> The average equivalent strain and equivalent strain rate of any particle at the shear surface AB can be expressed by the following formula:
假定剪切变形都在剪切面上发生,工件通过剪切变形变成了切屑,原本随刀具运动的工件材料由于切削速度的增加,导致工件迅速经过剪切区变成切屑,这种速度的突变称为剪切速度。根据图2的速度矢量关系可以求得切屑材料流动速度Vc和剪切面的材料流动速度Vs:Assuming that shear deformation occurs on the shear surface, the workpiece becomes chips through shear deformation. The workpiece material that originally moves with the tool quickly passes through the shear zone and becomes chips due to the increase in cutting speed. This sudden change in speed is called shear velocity. According to the velocity vector relationship in Figure 2, the chip material flow velocity V c and the material flow velocity V s on the shear surface can be obtained:
流变应力与温度相关,而根据流变应力可计算剪切应力有关。所以为了得到剪切应力要迭代计算AB处的温度到稳态。基于Oxley切削理论,剪切区的平均温度为:The flow stress is related to the temperature, and the shear stress can be calculated based on the flow stress. Therefore, in order to obtain the shear stress, the temperature at AB must be iteratively calculated to a steady state. Based on the Oxley cutting theory, the average temperature of the shear zone is:
式中:Tr为工件温度,η为平均温度系数,分析中取0.9;ρ为材料密度;Cw比热容,其中β为剪切区第一变形区的剪切变形热量传导工件材料的比值,计算如下:Where: Tr is the workpiece temperature, η is the average temperature coefficient, which is taken as 0.9 in the analysis; ρ is the material density; Cw is the specific heat capacity, where β is the ratio of the shear deformation heat conduction to the workpiece material in the first deformation zone of the shear zone, calculated as follows:
式中:Kw为热传导系数。Where: Kw is the thermal conductivity coefficient.
由于工件塑性变形导致在剪切带处存在高应变、高应变率、高温的切削环境,使用S32760双相本构模型预测剪切区中的流变应力:Due to the plastic deformation of the workpiece, there is a high strain, high strain rate and high temperature cutting environment in the shear zone. The S32760 two-phase constitutive model is used to predict the flow stress in the shear zone:
剪切区内Fn和Fr之间的夹角为摩擦角,可用计算。根据Oxley理论,可得/>根据迭代计算出的剪切角/>即可求得夹角θ。The angle between Fn and Fr in the shear zone is the friction angle, which can be Calculation. According to Oxley theory, we can get/> According to the iterative calculation of the shear angle/> The angle θ can be obtained.
第一变形区应变率常数C0从材料加工硬化机理出发,考虑了材料应变的影响,其表达式为:The strain rate constant C0 in the first deformation zone is based on the material work hardening mechanism and takes into account the influence of material strain. Its expression is:
式中:COxley为第一变形区剪切带长宽比;AJC、BJC和nJC分别为JC本构参数。Where: C Oxley is the aspect ratio of the shear band in the first deformation zone; A JC , B JC and n JC are the JC constitutive parameters, respectively.
在考虑切削热和切削力耦合作用下的Oxley直角切削模型中,对于迭代计算剪切区温度时,需要在假定在剪切区初始温度下的流变应力,根据求得的流变应力计算剪切区内分力,然后使用剪切区平衡温度公式更新剪切区温度,不断重复这个过程直至更新温度与剪切区温度之间相差小于0.1摄氏度,即认为此时温度为剪切区温度。后根据输出剪切带温度、剪切带等效应变和剪切带应变率计算剪切带AB处的流变应力。最终计算FR,并根据等分剪切区的几何关系分析其他分力。In the Oxley right-angle cutting model considering the coupling of cutting heat and cutting force, when iteratively calculating the shear zone temperature, it is necessary to assume the rheological stress at the initial temperature of the shear zone, calculate the component force in the shear zone based on the obtained rheological stress, and then use the shear zone equilibrium temperature formula to update the shear zone temperature. Repeat this process until the difference between the updated temperature and the shear zone temperature is less than 0.1 degrees Celsius, that is, the temperature at this time is considered to be the shear zone temperature. Then, the rheological stress at the shear band AB is calculated based on the output shear band temperature, the equivalent strain of the shear band, and the shear band strain rate. Finally, FR is calculated, and other component forces are analyzed based on the geometric relationship of the equally divided shear zone.
(2)刀具-切屑界面分析(2) Tool-chip interface analysis
切屑在前刀面的挤压摩擦下,靠近前刀面一侧的切屑再次产生剪切变形,晶粒被拉长,沿前刀面方向纤维化,纤维化区域厚度即为第二变形区厚度(ΔS2),如图2所示。ΔS2=δt2,δ为第二变形区厚度与经切削后产生变形的切屑厚度之比。由此可知刀-屑界面的等效应变和等效应变率:Under the extrusion and friction of the rake face, the chip near the rake face is sheared again, the grain is elongated, and fiberized along the rake face. The thickness of the fiberized area is the thickness of the second deformation zone (ΔS 2 ), as shown in Figure 2. ΔS 2 = δt 2 , δ is the ratio of the thickness of the second deformation zone to the thickness of the chip deformed after cutting. It can be seen that the equivalent strain and equivalent strain rate of the tool-chip interface are:
式中:htc为刀具-切屑接触长度,可使用剪切面的力矩平衡公式进行计算:Where: htc is the tool-chip contact length, which can be calculated using the moment balance formula of the shear plane:
刀具-切屑界面的平均温度Tint表示为:The average temperature Tint of the tool-chip interface is expressed as:
Tint=Tr+ΔTsz+ψΔTM (22) Tint = Tr + ΔTsz + ψΔTM (22)
式中:ψ为修正系数,取为0.6;ΔTM为切屑中的最大温升;ΔTC为切屑中的平均温升;ΔTsz为第一变形区温升。Where: ψ is the correction coefficient, which is taken as 0.6; ΔTM is the maximum temperature rise in the chip; ΔTC is the average temperature rise in the chip; ΔTsz is the temperature rise in the first deformation zone.
同剪切带处流变应力的特点,用S32760双相本构模型预测刀-屑接触界面的流变应力:The characteristics of the rheological stress at the shear band are used to predict the rheological stress at the tool-chip contact interface using the S32760 two-phase constitutive model:
直角切削实验如下:The right-angle cutting experiment is as follows:
为了验证直角切削模型,搭建直角切削试验平台,通过观测直角切削S32760双相不锈钢的切削力分析模型可靠性。In order to verify the right-angle cutting model, a right-angle cutting test platform was built, and the reliability of the model was analyzed by observing the cutting force of right-angle cutting of S32760 duplex stainless steel.
直角切削试验平台,棒料尺寸为使用三爪夹具夹紧棒料,对心,按照进给量1mm/r粗车一遍光面,后使用刀具宽度为3mm的切槽刀对棒料进行切槽,槽深为3mm,槽宽为3mm,间隔2mm一个槽,每个槽之间保留一个2mm宽的环状凸起表面,根据下表试验参数对每个环状凸起表面进行直角切削实验。使用C6136HK车床进行车外圆和切槽操作。Right angle cutting test platform, bar size is Use a three-jaw fixture to clamp the bar, center it, and rough turn it once with a feed rate of 1mm/r to smooth the surface. Then use a grooving cutter with a tool width of 3mm to groove the bar. The groove depth is 3mm, the groove width is 3mm, and the interval is 2mm. A 2mm wide annular convex surface is retained between each groove. According to the test parameters in the table below, a right-angle cutting experiment is performed on each annular convex surface. Use a C6136HK lathe for turning the outer circle and grooving operations.
直角切削采用的测力仪器为KISTLER压电测力计9139AA,在数控机床的刀架上安装测力仪。测力仪可以测量切削过程中三个方向的切削力,为保证测量结果的准确性,各组实验重复三次并取均值。为了验证切削力预测模型的准确性,切削试验参数如表10所示。The force measuring instrument used for right-angle cutting is KISTLER piezoelectric dynamometer 9139AA, which is installed on the tool holder of the CNC machine tool. The dynamometer can measure the cutting force in three directions during the cutting process. To ensure the accuracy of the measurement results, each group of experiments was repeated three times and the average was taken. In order to verify the accuracy of the cutting force prediction model, the cutting test parameters are shown in Table 10.
表10直角切削试验切削用量Table 10 Cutting parameters for right angle cutting test
S32760直角切削等分剪切区预测模型所需参数,如表11所示。The parameters required for the prediction model of the shear zone divided equally by right-angle cutting of S32760 are shown in Table 11.
表11切削模型的S32760材料参数Table 11 S32760 material parameters of cutting model
根据直角切削等分剪切区模型,输入表11的切削用量以及表11的S32760材料属性,预测切削力值见表12。由直角切削试验所测得的切削力如表12所示。图13为切削速度为214mm/min,进给量为0.3mm的直角切削试验所测得的切削力原始数据,图14为滤波后数据。According to the right-angle cutting equally divided shear zone model, the cutting parameters in Table 11 and the S32760 material properties in Table 11 are input, and the predicted cutting force values are shown in Table 12. The cutting forces measured by the right-angle cutting test are shown in Table 12. Figure 13 shows the original cutting force data measured by the right-angle cutting test with a cutting speed of 214 mm/min and a feed rate of 0.3 mm, and Figure 14 shows the filtered data.
表12试验切削力与模型预测切削力对比Table 12 Comparison of experimental cutting force and model predicted cutting force
从图15-18中也可看出直角切削等分剪切区模型预测切削力较为准确,其中进给量为0.3mm/r时,切削力Fcx最大预测误差为2.7%,最小预测误差为0.7%,切削力Fcy最大预测误差为10.7%,最小预测误差为1.7%。进给量为0.4mm/r时,切削力Fcx最大预测误差为4.4%,最小预测误差为3.9%,切削力Fcy最大预测误差为6.0%,最小预测误差为0.6%。与试验切削力Fcx对比,切削力预测平均误差为2.9%,切削力Fcy预测平均误差为4.6%。根据图15-18中可以看出,相较于试验数据误差较小,切削力预测较为准确。It can also be seen from Figures 15-18 that the right-angle cutting equally divided shear zone model predicts the cutting force more accurately. When the feed rate is 0.3mm/r, the maximum prediction error of the cutting force F cx is 2.7%, the minimum prediction error is 0.7%, and the maximum prediction error of the cutting force F cy is 10.7%, and the minimum prediction error is 1.7%. When the feed rate is 0.4mm/r, the maximum prediction error of the cutting force F cx is 4.4%, the minimum prediction error is 3.9%, and the maximum prediction error of the cutting force F cy is 6.0%, and the minimum prediction error is 0.6%. Compared with the experimental cutting force F cx , the average error of the cutting force prediction is 2.9%, and the average error of the cutting force F cy prediction is 4.6%. It can be seen from Figures 15-18 that compared with the experimental data, the error is small and the cutting force prediction is more accurate.
通过图15-18对比可知,切削速度的提高和进给量的增加都会使切削力增大,但进给量对切削力的影响更为明显。By comparing Figures 15-18, it can be seen that the increase in cutting speed and feed rate will increase the cutting force, but the effect of feed rate on cutting force is more obvious.
(3)多物理场提取过程:(3) Multi-physics field extraction process:
由于剪切区的剪切角剪切区应变率系数COxley,第二变形区厚度与切屑厚度的比值δ,随切削条件,材料属性以及刀具前角变化而变化,所以设定三个变量范围作为三者迭代的范围,分别为δ∈[0.005,0.2],COxley∈[2,10],/>根据Oxley切削理论,当输出满足三个平衡条件时,计算将终止:刀具-切削界面处的应力平衡,其中刀具-切削界面切向应力(τint)等于切屑中的流变应力(σchip);第二,刀尖处的应力平衡,即用合理计算的刀尖界面法向应力(σN)等于用刀尖应力边界条件计算的法向应力(σ′N);第三,切削力(Fc)最小原则。故根据Oxley理论的三个平衡条件,作为三个变量迭代的判断依据。由此需计算刀具-切削界面切向应力(τint)、刀尖界面法向应力(σN)、刀尖应力边界条件计算的法向应力(σ′N)以及切削力(Fc)。Due to the shear angle of the shear zone The shear zone strain rate coefficient C Oxley and the ratio of the second deformation zone thickness to the chip thickness δ vary with cutting conditions, material properties and tool rake angle, so three variable ranges are set as the ranges of the three iterations, namely δ∈[0.005,0.2], C Oxley ∈[2,10],/> According to Oxley cutting theory, the calculation will terminate when the output meets three equilibrium conditions: stress balance at the tool-cutting interface, where the tangential stress at the tool-cutting interface (τ int ) is equal to the rheological stress in the chip (σ chip ); second, stress balance at the tool tip, that is, the normal stress at the tool tip interface (σ N ) calculated reasonably is equal to the normal stress (σ′ N ) calculated using the tool tip stress boundary condition; third, the principle of minimum cutting force (F c ). Therefore, the three equilibrium conditions of Oxley theory are used as the basis for the judgment of the iteration of the three variables. Therefore, it is necessary to calculate the tangential stress at the tool-cutting interface (τ int ), the normal stress at the tool tip interface (σ N ), the normal stress (σ′ N ) calculated using the tool tip stress boundary condition, and the cutting force (F c ).
Fc可根据剪切区几何条件可算出:F c can be calculated based on the geometric conditions of the shear zone:
Fc=FR cos(λ-α) (26)F c = FR cos(λ-α) (26)
图2中B点的正应力σ′N可结合剪切面的平均流变应力得到:The normal stress σ′ N at point B in Figure 2 can be obtained by combining the average flow stress of the shear surface:
假设刀具-切屑界面应力均匀分布,得到刀具-切屑界面应力τint和应力σN表达式为:Assuming that the tool-chip interface stress is uniformly distributed, the expressions of tool-chip interface stress τ int and stress σ N are obtained as follows:
根据求得的刀具-切削界面切向应力(τint)与刀具-切屑界面的流变应力(σchip)二者差值的绝对值作为判断依据,剪切角取两者最接近处的值。此时,根据已得剪切角/>在重复计算剪切区的各种参数,然后求解刀尖界面法向应力(σN)和刀尖应力边界条件计算的法向应力(σ′N),并以二者差值的绝对值作为判断COxley的依据,COxley取二者最接近出的值。继续重复计算剪切区的各种参数,后对比切削力Fc,选取Fc最小时,确定δ值。由此根据不同切削条件,材料属性以及刀具几何条件下的切屑力模型建立,并可以确定三个变量的具体数值。The absolute value of the difference between the obtained tangential stress at the tool-cutting interface (τ int ) and the flow stress at the tool-chip interface (σ chip ) is used as the basis for judgment. Take the value where the two are closest. At this time, according to the obtained shear angle/> After repeatedly calculating various parameters in the shear zone, the normal stress of the tool tip interface (σ N ) and the normal stress calculated by the tool tip stress boundary condition (σ′ N ) are solved, and the absolute value of the difference between the two is used as the basis for judging C Oxley , and C Oxley takes the closest value of the two. Continue to repeatedly calculate various parameters in the shear zone, and then compare the cutting force F c , and determine the δ value when F c is the smallest. In this way, the chip force model under different cutting conditions, material properties and tool geometry conditions is established, and the specific values of the three variables can be determined.
(4)剪切区多物理场分布的提取:(4) Extraction of multi-physical field distribution in shear zone:
根据直角切削等分剪切区模型,提取剪切角第一变形区长宽比COxley、第二变形区厚度与切削厚度比值δ、剪切区温度TAB、剪切区应变εAB、剪切区应变率/>剪切应力σAB。如表2所示为剪切区内的多物理场分布。Extract the shear angle based on the model of dividing the shear zone into equal parts by right-angle cutting The first deformation zone aspect ratio C Oxley , the second deformation zone thickness to cutting thickness ratio δ , the shear zone temperature T AB , the shear zone strain ε AB , the shear zone strain rate/> Shear stress σ AB . Table 2 shows the multi-physics field distribution in the shear zone.
实施实例2.双相材料两相应力求解方法:Implementation Example 2. Method for solving two-phase stress of dual-phase material:
切削S32760过程中,剪切区两相发生剧烈的塑性变形,而两相的材料力学性能的差异与演化形式不同,导致二者加工硬化程度有较大区别,因此通过分析切削用量与两相显微硬度之间的影响规律,揭示两相在切削过程中动态力学行为的差异。During the cutting process of S32760, the two phases in the shear zone undergo severe plastic deformation. The difference in the mechanical properties of the two phases and their different evolution forms lead to a large difference in the degree of work hardening between the two phases. Therefore, by analyzing the influence of cutting parameters and the microhardness of the two phases, the difference in the dynamic mechanical behavior of the two phases during the cutting process is revealed.
进给量为0.3mm/r,不同切削速度,切屑的奥氏体相和铁素体相的显微硬度以及硬化程度如表13所示。When the feed rate is 0.3 mm/r and the cutting speed is different, the microhardness of the austenite phase and ferrite phase of the chip and the degree of hardening are shown in Table 13.
表13不同切削速度下剪切区两相显微硬度及第二变形区厚度比Table 13 Microhardness of two phases in shear zone and thickness ratio of second deformation zone at different cutting speeds
根据试验数据对比,图19为直角切削S32760切屑的奥氏体相和铁素体相的显微硬度随切削速度变化的曲线。According to the comparison of test data, Figure 19 shows the curve of the microhardness of the austenite phase and ferrite phase of the right-angle cutting S32760 chips as a function of cutting speed.
表14不同切削速度下剪切区两相加工硬化程度Table 14 Work hardening degree of two phases in shear zone at different cutting speeds
根据表14可得图20,图20为进给量0.3mm/r不同切削速度的第二变形区厚度比变化规律。According to Table 14, Figure 20 can be obtained, which shows the variation of the thickness ratio of the second deformation zone at different cutting speeds with a feed rate of 0.3 mm/r.
通过对于基体两相的显微硬度测量可知,基体的铁素体相显微硬度较高,这符合S32760中铁素体硬相度较高的特点,而切削后的两相经过塑性变形,加工硬化程度有很大区别。Through the microhardness measurement of the two phases of the matrix, it can be seen that the ferrite phase of the matrix has a higher microhardness, which is consistent with the characteristics of the higher hardness of the ferrite phase in S32760. The two phases after cutting undergo plastic deformation, and the degree of work hardening is very different.
从图3中可以看出,切屑的奥氏体相和铁素体相显微硬度随进给量的增加而降低,从表2可以看出两相加工硬化程度也随进给量的增加而减小,进给量增加,剪切应变随之降低,平均剪切应变率随之降低,硬化程度降低,而温度基本不受影响,所以由温度主导的热软化效应基本不变,此时随进给量的增加,两相的加工硬化效应降低而温度主导的热软化效应不变,所以剪切区两相加工硬化程度随之降低。It can be seen from Figure 3 that the microhardness of the austenite phase and ferrite phase of the chip decreases with the increase of feed rate. It can be seen from Table 2 that the work hardening degree of the two phases also decreases with the increase of feed rate. With the increase of feed rate, the shear strain decreases, the average shear strain rate decreases, the hardening degree decreases, and the temperature is basically unaffected, so the thermal softening effect dominated by temperature remains basically unchanged. At this time, with the increase of feed rate, the work hardening effect of the two phases decreases, while the thermal softening effect dominated by temperature remains unchanged, so the work hardening degree of the two phases in the shear zone decreases.
S32760在切削加工过程中,受到刀具挤压以及摩擦等外力作用,由力热耦合作用下,工件材料在剪切区的流变应力一般存在应变硬化效应、应变率强化效应以及热软化效应。应变硬化效应是指材料的流变应力会随应变的增加而增加;应变率强化效应是指材料的流变应力会随着应变率的增加而增加;热软化效应则是表征材料的流变应力会随着温度的升高而减小。流变应力与材料显微硬度成正比。因此,分析S32760切屑剪切区两相流变应力需要考虑剪切区温度、应变、应变率之间的关系。During the cutting process, S32760 is subjected to external forces such as tool extrusion and friction. Due to the coupling of force and heat, the rheological stress of the workpiece material in the shear zone generally has strain hardening effect, strain rate strengthening effect and thermal softening effect. The strain hardening effect refers to the increase of the rheological stress of the material with the increase of strain; the strain rate strengthening effect refers to the increase of the rheological stress of the material with the increase of strain rate; the thermal softening effect characterizes that the rheological stress of the material decreases with the increase of temperature. The rheological stress is proportional to the microhardness of the material. Therefore, the analysis of the two-phase rheological stress in the shear zone of the S32760 chip needs to consider the relationship between the temperature, strain and strain rate in the shear zone.
基于材料力学,维氏显微硬度值与流变应力成正比,因此有:Based on material mechanics, the Vickers microhardness value is proportional to the flow stress, so:
HV=Cσ (28)HV=Cσ (28)
式中:C为常数。Where: C is a constant.
基于上式可知,预测两相显微硬度需知两相流变应力,切屑的流变应力可近似认为是剪切应力。Based on the above formula, it can be seen that the rheological stress of the two phases is required to predict the microhardness of the two phases. The rheological stress of the chips can be approximately regarded as the shear stress.
应力混合定则的先提条件是假设材料变形过程中两相的应变相同,但无论是准静态拉伸还是动态压缩实验,由于两相的力学性能的差异巨大,导致两相在塑性变形过程中互相存在竞争耦合作用。因此,采用多相材料的通用处理办法,即在保留两相应力混合定则的基础上,将两相应变也以混合定律的形式表达。The prerequisite of the stress mixing law is to assume that the strains of the two phases are the same during the deformation of the material. However, whether it is a quasi-static tension or dynamic compression experiment, the huge difference in the mechanical properties of the two phases leads to a competitive coupling effect between the two phases during the plastic deformation process. Therefore, the general treatment method for multiphase materials is adopted, that is, on the basis of retaining the two-phase stress mixing law, the two-phase strains are also expressed in the form of a mixing law.
σ(ε)=F·σ1(ε1)+(1-F)·σ2(ε2) (29)σ(ε)=F·σ 1 (ε 1 )+(1-F)·σ 2 (ε 2 ) (29)
ε=F·ε1+(1-F)·ε2 (30)ε=F·ε 1 +(1-F)·ε 2 (30)
式中:ε1、ε2分别为奥氏体相的应变值和铁素体相的应变值。Where: ε 1 and ε 2 are the strain values of the austenite phase and the ferrite phase, respectively.
此时需要考虑S32760基体中两相比例,故S32760基体使用SEM扫描电镜观察,分析两相比例。At this time, it is necessary to consider the ratio of the two phases in the S32760 matrix, so the S32760 matrix is observed using a SEM scanning electron microscope to analyze the ratio of the two phases.
奥氏体相与铁素体相体积分数比例为23/27,故F=0.46。The volume fraction ratio of austenite phase to ferrite phase is 23/27, so F=0.46.
奥氏体相的剪切应变和铁素体相的剪切应变,如表3所示。The shear strain of the austenite phase and the shear strain of the ferrite phase are shown in Table 3.
从图4中可以看出,对比1-3组和4-6组可以发现,奥氏体相应变随切削速度减小后增加,铁素体相应变随切削速度增加后减小。从图5中可以看出,对比1-3组和4-6组,奥氏体相和铁素体相流变应力随切削速度的增加而增加。As can be seen from Figure 4, by comparing Groups 1-3 and 4-6, it can be found that the austenite phase strain increases as the cutting speed decreases, and the ferrite phase strain decreases as the cutting speed increases. As can be seen from Figure 5, by comparing Groups 1-3 and 4-6, the rheological stress of the austenite phase and the ferrite phase increases as the cutting speed increases.
实施实例3.双相材料两相显微硬度解算模型构建方法Implementation Example 3. Construction Method of Microhardness Calculation Model of Dual-Phase Material
S32760切屑显微硬度检测实验如下:The S32760 chip microhardness test experiment is as follows:
将直角切削S32760的切屑按照试验编号分组收集,分别测试6组直角切削试验的切屑,切屑的切削用量见表14。由于切屑尺寸小,需要在实验过程中保持形状不变并且保护表层,故用树脂镶嵌切屑,便于把持。为确保镶嵌试样无污染,第一步要清洁切屑使切屑与树脂粘合良好,还防止气泡产生影响显微硬度测试压头打点。用80、320、600、1000、1200、1500、2000号砂纸从粗到细磨树脂镶嵌的切屑,每道砂纸磨至少两个十字来回,1000号以上的砂纸,4-5个十字来回,每个来回要求肉眼看不到垂直方向的磨痕。在抛光布上喷适量的抛光剂,手持磨好的镶嵌试样按照十字方向进行抛光。在抛光过程中,加入适量的水,防止摩擦过热,也要加入适量的抛光剂。抛光完毕后,换新的抛光布进行水抛,目的是洗净抛光剂。在超声波清洗机中加热酒精清洗抛光后的样件。The chips of right-angle cutting S32760 were collected in groups according to the test number, and the chips of 6 groups of right-angle cutting tests were tested respectively. The cutting amount of the chips is shown in Table 14. Since the chip size is small, it is necessary to keep the shape unchanged and protect the surface during the experiment, so the chips are embedded with resin for easy handling. In order to ensure that the embedded specimen is free of pollution, the first step is to clean the chips so that the chips and resin are well bonded, and to prevent bubbles from affecting the microhardness test indenter point. Use sandpaper No. 80, 320, 600, 1000, 1200, 1500, and 2000 to grind the resin embedded chips from coarse to fine. Each sandpaper is ground at least two crosses back and forth. For sandpaper above No. 1000, 4-5 crosses back and forth, and each back and forth requires that the vertical wear marks cannot be seen by the naked eye. Spray an appropriate amount of polishing agent on the polishing cloth, and hold the ground embedded specimen in the cross direction for polishing. During the polishing process, add an appropriate amount of water to prevent friction overheating, and also add an appropriate amount of polishing agent. After polishing, replace the polishing cloth with a new one and perform water polishing to clean the polishing agent. Use heated alcohol in an ultrasonic cleaner to clean the polished sample.
表15测试S32760切屑的显微硬度的切削用量Table 15 Cutting parameters for testing the microhardness of S32760 chips
由于双相不锈钢抛光后,在金相显微镜下看不出两相,所以需要腐蚀浸色,根据材料学相关知识,使用20ml蒸馏水、20ml盐酸以及4g盐酸配置成腐蚀液,室温下将抛光后的样件放入溶液浸蚀30s,后清洁样品表面,为后续显微硬度实验做准备。Since the two phases of duplex stainless steel cannot be seen under the metallographic microscope after polishing, corrosion and staining are required. According to the relevant knowledge of materials science, 20ml of distilled water, 20ml of hydrochloric acid and 4g of hydrochloric acid are used to prepare the corrosion solution. The polished sample is placed in the solution for etching for 30s at room temperature, and then the sample surface is cleaned to prepare for the subsequent microhardness experiment.
显微维氏硬度试验基本原理是将两相对面夹角为136°(两相对棱夹角为148°6'42”)的金刚石正四棱锥压头,图21为金刚石正四棱锥压头三维图。图22为显微硬度测试示意图,在50N试验力作用下压入试样表面,保持10s后,卸除试验力,测量压痕对角线长度,以试验锥形表面积所得的商即为维氏硬度HV值(kgf/mm2)。The basic principle of the micro-Vickers hardness test is to use a diamond regular tetrahedron indenter with an angle of 136° between two opposite faces (an angle of 148°6'42” between two opposite edges). Figure 21 is a three-dimensional diagram of the diamond regular tetrahedron indenter. Figure 22 is a schematic diagram of the micro-hardness test. The indenter is pressed into the sample surface under a test force of 50N. After holding for 10 seconds, the test force is removed and the diagonal length of the indentation is measured. The quotient obtained by the test cone surface area is the Vickers hardness HV value (kgf/mm 2 ).
在切屑中剪切带内测量奥氏体相和铁素体相的显微硬度,图24为测量切屑区域以及测量位置。此区域为剪切区第一变形区,根据直角切削等分剪切区解析模型,提取剪切区内第一变形区的应变、应变率、温度,构建多物理场与两相显微硬度之间的映射关系。The microhardness of the austenite phase and the ferrite phase is measured in the shear zone in the chip. Figure 24 shows the measured chip area and the measurement position. This area is the first deformation zone in the shear zone. According to the analytical model of the right-angle cutting equally divided shear zone, the strain, strain rate and temperature of the first deformation zone in the shear zone are extracted, and the mapping relationship between the multi-physical field and the microhardness of the two phases is constructed.
(1)刀具前角以及切削用量对切屑两相显微硬度的影响规律(1) The influence of tool rake angle and cutting amount on the microhardness of chip two phases
表4不同前角和不同切削用量的切屑两相显微硬度预测值Table 4 Prediction of chip two-phase microhardness at different rake angles and different cutting parameters
由图6可以看出随着切削速度的不断增加两相显微硬度不断提高。It can be seen from Figure 6 that the microhardness of the two phases increases with the increasing cutting speed.
由图7可以看出在切削速度一样的条件下两相显微硬度随着进给量的增加而降低。It can be seen from Figure 7 that under the same cutting speed, the microhardness of the two phases decreases with the increase of feed rate.
从图8中可以看出,剪切区应变随前角的增大而逐渐降低,原因在于前角越大,切削刃就越锋利,对切削层的挤压逐渐减小。因此,工件的塑性变形随刀具前角的增大而降低。As can be seen from Figure 8, the shear zone strain gradually decreases with the increase of the rake angle. The reason is that the larger the rake angle, the sharper the cutting edge, and the extrusion of the cutting layer gradually decreases. Therefore, the plastic deformation of the workpiece decreases with the increase of the tool rake angle.
由图9可以看出,剪切区平均剪切应变率随刀具前角的增大,逐渐减小,刀具前角直接影响剪切应变率的大小。It can be seen from Figure 9 that the average shear strain rate in the shear zone gradually decreases with the increase of the tool rake angle, and the tool rake angle directly affects the magnitude of the shear strain rate.
由图10可以看出,随着刀具前角的增大,剪切区平均温度随之降低,由于对切削层挤压减小,工件变形程度降低,导致塑性变形产生的热量减少,所以剪切区平均温度降低。It can be seen from Figure 10 that as the tool rake angle increases, the average temperature in the shear zone decreases. Since the extrusion on the cutting layer is reduced, the deformation of the workpiece is reduced, resulting in a decrease in the heat generated by plastic deformation, so the average temperature in the shear zone decreases.
由图11可以看出,随着前角的增大,奥氏体相与铁素体相的显微硬度在不断增大。It can be seen from Figure 11 that with the increase of the front angle, the microhardness of the austenite phase and the ferrite phase continues to increase.
(2)考虑刀具前角与切削用量的两相显微硬度预测模型(2) Two-phase microhardness prediction model considering tool rake angle and cutting amount
因在实际加工过程中,很难提取切削过程中的剪切区的多物理场分布,因此从刀具前角以及切削用量方面出发,以其作为自变量,两相显微硬度作为因变量,建立考虑刀具前角与切削用量的两相显微硬度预测模型。In the actual processing, it is difficult to extract the multi-physical field distribution of the shear zone during the cutting process. Therefore, starting from the tool rake angle and cutting amount, the two-phase microhardness is used as the independent variable and the two-phase microhardness is used as the dependent variable to establish a two-phase microhardness prediction model considering the tool rake angle and cutting amount.
建立考虑切削要素的S32760奥氏体相与铁素体相显微硬度的指数经验模型,表示为:An exponential empirical model of the microhardness of the austenite and ferrite phases of S32760 considering cutting factors is established and expressed as:
式中:HV* 1为奥氏体相显微硬度预测值,HV* 2为铁素体相显微硬度预测值;Z1,Z2为与切削条件等有关的系数;p、q、m为相关系数。Where: HV * 1 is the predicted value of austenite microhardness, HV * 2 is the predicted value of ferrite microhardness; Z 1 , Z 2 are coefficients related to cutting conditions, etc.; p, q, m are correlation coefficients.
求得奥氏体相和铁素体相的显微硬度值的多目标优化模型的回归方程为:The regression equation of the multi-objective optimization model for obtaining the microhardness values of the austenite phase and the ferrite phase is:
HV* 1=25.3581v0.1307f -0.1632α0.7030 (33)HV * 1 = 25.3581v 0.1307 f -0.1632 α 0.7030 (33)
HV* 2=119.152v0.0372f -0.0696α0.3291 (34)HV * 2 = 119.152v 0.0372 f -0.0696 α 0.3291 (34)
对求得的回归方程模型有效性进行显著性检验,所得到的检验结构如表5所示。The validity of the obtained regression equation model was tested for significance, and the test structure obtained is shown in Table 5.
试验次数为n=8,自变量个数m=3,选定切削速度,进给量,刀具前角的显著性水平为α=0.05,根据查询F分布临界值表可知F0.05(3,4)=6.59,通过方差分析可知,两相显微硬度的回归方程对应得到的统计量F值均大于临界值4.07,对应的P值均小于0.05,最终可以证明建立的两相显微硬度的回归方程是显著的。The number of experiments was n=8, the number of independent variables was m=3, and the significance level of cutting speed, feed rate, and tool rake angle was selected as α=0.05. According to the F distribution critical value table, F 0.05 (3,4)=6.59. Through variance analysis, it can be seen that the statistical F values corresponding to the regression equation of the two-phase microhardness are all greater than the critical value of 4.07, and the corresponding P values are all less than 0.05. Finally, it can be proved that the established regression equation of the two-phase microhardness is significant.
实施实例4.基于两相硬度一致性的双相不锈钢加工工艺方法:Implementation Example 4. Duplex stainless steel processing method based on the consistency of two-phase hardness:
(1)粗加工工艺参数优化(1) Optimization of rough machining process parameters
通过分析两相显微硬度预测模型的影响因素,得到了奥氏体相和铁素体相的显微硬度值刀具前角与切削用量和的变化规律。By analyzing the influencing factors of the two-phase microhardness prediction model, the variation law of the microhardness values of the austenite phase and the ferrite phase as a function of the tool rake angle and the cutting amount was obtained.
结合实际加工过程中工艺系统的稳定情况,考虑粗加工进给量较大,切削速度较低,故选取切合实际加工中的工艺参数范围,使其作为两相显微硬度一致性的约束条件,具体参数范围如下:Combined with the stability of the process system in the actual processing, considering the large feed rate and low cutting speed in rough processing, the process parameter range suitable for actual processing is selected as the constraint condition for the consistency of the microhardness of the two phases. The specific parameter range is as follows:
根据上文建立的两相显微硬度预测模型,以两相显微硬度之差的绝对值作为多目标优化函数,切削要素的优化函数如下式:According to the two-phase microhardness prediction model established above, the absolute value of the difference between the two-phase microhardness is used as the multi-objective optimization function, and the optimization function of the cutting factor is as follows:
使用遗传算法进行优化,将约束条件和优化目标函数编写成程序如下:Using genetic algorithm for optimization, the constraints and optimization objective function are written into a program as follows:
以式(37)为判定两相显微硬度分布一致性的判据,为两相显微硬度分布一致性判定系数。表6为经过两相显微硬度分布一致性优化后得到的刀具前角及切削用量。Formula (37) is used as the criterion for determining the consistency of the microhardness distribution of the two phases, and is the determination coefficient of the consistency of the microhardness distribution of the two phases. Table 6 shows the tool rake angle and cutting amount obtained after the consistency optimization of the microhardness distribution of the two phases.
从图12中可以看出,切屑两相显微硬度差最小时,随着切削速度的增大,进给量在不断减小,可能的原因是,切削速度的增大,导致剪切区剪切应变增,平均剪切应变率增加,平均温度不断升高,而进给量的增大,导致剪切区剪切应变降低,平均剪切应变率降低,温度变化不大,可忽略,此时,剪切区平均应变率和平均温度是增长的,而剪切应变在降低,应变率的提高导致的流变应力增大程度比应变降低和温度升高导致的流变应力降低程度几乎相等,所以随着切削速度和进给量的增加,两相的流变应力比例不变,而显微硬度与流变应力成正比,因此两相显微硬度相差不大。It can be seen from Figure 12 that when the microhardness difference between the two phases of the chip is the smallest, as the cutting speed increases, the feed rate continues to decrease. The possible reason is that the increase in cutting speed leads to an increase in shear strain in the shear zone, an increase in the average shear strain rate, and a continuous increase in the average temperature, while the increase in feed rate leads to a decrease in the shear strain in the shear zone, a decrease in the average shear strain rate, and a small temperature change, which can be ignored. At this time, the average strain rate and average temperature in the shear zone are increasing, while the shear strain is decreasing. The increase in strain rate causes the increase in rheological stress to be almost equal to the decrease in rheological stress caused by the decrease in strain and the increase in temperature. Therefore, as the cutting speed and feed rate increase, the ratio of the rheological stress of the two phases remains unchanged, while the microhardness is proportional to the rheological stress. Therefore, the microhardness of the two phases is not much different.
根据表6可知,两相显微硬度分布一致,粗加工工艺参数下,两相相差最大为1.3596HV0.05,此时两相显微硬度范围在379-390HV0.05之间。两相显微硬度差最小时,铁素体相显微硬度随切削速度的增加而不断减小,而奥氏体相显微硬度没明显的趋势。According to Table 6, the microhardness distribution of the two phases is consistent. Under the rough machining process parameters, the maximum difference between the two phases is 1.3596HV 0.05 , and the microhardness range of the two phases is between 379-390HV 0.05 . When the microhardness difference between the two phases is the smallest, the microhardness of the ferrite phase decreases with the increase of cutting speed, while the microhardness of the austenite phase has no obvious trend.
经过双相显微硬度预测模型预测表6中各种切削条件下的两相显微硬度,由表7可知,1-6组的两相显微硬度差最高不超过16HV0.05,最小为13HV0.05,由此可知,考虑切削用量的两相显微硬度经验模型基于两相显微硬度一致性优化的切削用量符合两相显微硬度分布一致性的标准。The two-phase microhardness prediction model predicts the two-phase microhardness under various cutting conditions in Table 6. It can be seen from Table 7 that the maximum difference in the two-phase microhardness of groups 1-6 does not exceed 16HV 0.05 , and the minimum is 13HV 0.05 . It can be seen that the two-phase microhardness empirical model considering cutting parameters and the cutting parameters optimized based on the consistency of the two-phase microhardness meet the standard of the consistency of the two-phase microhardness distribution.
(2)精加工工艺参数优化(2) Optimization of finishing process parameters
结合实际加工过程中工艺系统的稳定情况,考虑精加工进给量较小,切削速度较高,故选取切合实际加工中的工艺参数范围,使其作为两相显微硬度一致性的约束条件,具体参数范围如下:Combined with the stability of the process system in the actual processing, considering that the finishing feed is small and the cutting speed is high, the process parameter range that fits the actual processing is selected as the constraint condition for the consistency of the microhardness of the two phases. The specific parameter range is as follows:
优化过程如同粗加工,此处不做赘述。The optimization process is the same as rough machining and will not be described here.
如表8所示为经过两相显微硬度分布一致性优化后得到的刀具前角及切削用量。由表8可知两相显微硬度分布一致,精加工工艺参数下,两相相差最大为0.8892HV0.05,此时两相显微硬度范围在352-359HV0.05之间。Table 8 shows the tool rake angle and cutting amount obtained after the consistency optimization of the two-phase microhardness distribution. It can be seen from Table 8 that the microhardness distribution of the two phases is consistent. Under the finishing process parameters, the maximum difference between the two phases is 0.8892HV 0.05 , and the microhardness range of the two phases is between 352-359HV 0.05 .
经过双相显微硬度预测模型预测表8中各种切削条件下的两相显微硬度,由表9可知,1-3组的两相显微硬度差最高不超过18HV0.05,最小为16HV0.05,由此可知,考虑切削用量的两相显微硬度经验模型基于两相显微硬度一致性优化的切削用量符合两相显微硬度分布一致性的标准。The two-phase microhardness prediction model predicts the two-phase microhardness under various cutting conditions in Table 8. It can be seen from Table 9 that the maximum difference in the two-phase microhardness of groups 1-3 does not exceed 18HV 0.05 , and the minimum is 16HV 0.05 . It can be seen that the two-phase microhardness empirical model considering cutting parameters and the cutting parameters optimized based on the consistency of the two-phase microhardness meet the standard of the consistency of the two-phase microhardness distribution.
综上所述,与现有技术相比,本发明针对S32760切削过程剪切区奥氏体相和铁素体相显微硬度相差大的问题。结合剪切区剪切变形,提取出剪切带应变、应变率、温度等变量,基于应力混合定则对双相材料的两相应力分别建模,将双相材料的两相应力求解出来。通过材料力学相关知识,揭示双相材料两相应力分布对两相显微硬度的影响规律。结合显微硬度与塑性应变关系建立考虑刀具前角和切削用量的两相显微硬度解算模型,解决了两相显微硬度分布不确定的问题。In summary, compared with the prior art, the present invention aims at the problem of large difference in microhardness between austenite phase and ferrite phase in the shear zone of S32760 cutting process. Combined with the shear deformation in the shear zone, the shear band strain, strain rate, temperature and other variables are extracted, and the two-phase stress of the two-phase material is modeled based on the stress mixing rule, and the two-phase stress of the two-phase material is solved. Through the relevant knowledge of material mechanics, the influence of the two-phase stress distribution of the two-phase material on the microhardness of the two phases is revealed. Combined with the relationship between microhardness and plastic strain, a two-phase microhardness solution model considering the tool rake angle and cutting amount is established, which solves the problem of uncertain distribution of the two-phase microhardness.
将奥氏体相显微硬度和铁素体相显微硬度之差作目标函数,以奥氏体相显微硬度和铁素体相显微硬度之差的绝对值最小作为约束条件,采用遗传算法对模型进行寻优求解,最终得到两相显微硬度一致性最优的刀具前角及切削用量,本发明经过算法验证给出了在粗加工时,刀具前角范围为3°-20°、进给量范围为0.5mm/r-1mm/r、切削速度范围为100m/min-150m/min;精加工时,刀具前角范围为3°-20°、进给量范围为0.1mm/r-0.3mm/r、切削速度范围为200m/min-250m/min。The difference between the microhardness of the austenite phase and the microhardness of the ferrite phase is used as the objective function, and the minimum absolute value of the difference between the microhardness of the austenite phase and the microhardness of the ferrite phase is used as the constraint condition. The genetic algorithm is used to optimize and solve the model, and finally the tool rake angle and cutting amount with the optimal consistency of the microhardness of the two phases are obtained. The algorithm of the present invention has been verified that during rough machining, the tool rake angle range is 3°-20°, the feed rate range is 0.5mm/r-1mm/r, and the cutting speed range is 100m/min-150m/min; during fine machining, the tool rake angle range is 3°-20°, the feed rate range is 0.1mm/r-0.3mm/r, and the cutting speed range is 200m/min-250m/min.
最后应说明的是:以上所述仅为本发明的优选实施例而已,并不用于限制本发明,尽管参照前述实施例对本发明进行了详细的说明,对于本领域的技术人员来说,其依然可以对前述各实施例所记载的技术方案进行修改,或者对其中部分技术特征进行等同替换,凡在本发明的精神和原则之内,所作的任何修改、等同替换、改进等,均应包含在本发明的保护范围之内。Finally, it should be noted that the above is only a preferred embodiment of the present invention and is not intended to limit the present invention. Although the present invention has been described in detail with reference to the aforementioned embodiments, it is still possible for those skilled in the art to modify the technical solutions described in the aforementioned embodiments or to make equivalent substitutions for some of the technical features therein. Any modifications, equivalent substitutions, improvements, etc. made within the spirit and principles of the present invention should be included in the protection scope of the present invention.
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