CN117131729B - Integrity assessment method of structures containing composite cracks under compressive load - Google Patents

Integrity assessment method of structures containing composite cracks under compressive load Download PDF

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CN117131729B
CN117131729B CN202311025181.9A CN202311025181A CN117131729B CN 117131729 B CN117131729 B CN 117131729B CN 202311025181 A CN202311025181 A CN 202311025181A CN 117131729 B CN117131729 B CN 117131729B
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周昌玉
唐健
张雨宸
姚锡铭
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Nanjing Tech University
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Abstract

The invention discloses a method for evaluating the integrity of a pressed load composite crack structure, which comprises the following steps: characterizing the geometric dimension and the defect dimension of the composite crack-containing structure; calculating limit loadP L Buckling loadP B Calculating line elasticity under different ballast loadsJIntegration ofJ e ElastoplasticityJIntegration ofJ ep And calculating the fracture load ratioL r And buckling load ratioB r The method comprises the steps of carrying out a first treatment on the surface of the By calculating cut-off lines of two failure assessment curvesL r max AndB r max establishing a fracture failure evaluation curve and a buckling failure evaluation curve; establishing a three-dimensional failure evaluation curve combining fracture failure and buckling failure; and calculating and evaluating the coordinates of the evaluation points. The invention combines fracture failure and buckling failure, is suitable for defect evaluation of a composite crack structure under pressure load, and expands the existing failure evaluationAnd (5) determining a method.

Description

压载荷作用下含复合型裂纹结构的完整性评定方法Integrity assessment method of structures containing composite cracks under compressive load

技术领域Technical field

本发明属于故障诊断与健康维护技术,具体涉及一种压载荷作用下含复合型裂纹结构的完整性评定方法。The invention belongs to fault diagnosis and health maintenance technology, and specifically relates to an integrity assessment method of a structure containing composite cracks under compressive load.

背景技术Background technique

高端装备制造业作为现代工业体系的脊梁,是以高新技术为引领的,决定整个产业链综合竞争力的战略性新兴产业。其中,故障诊断与健康维护技术作为九类关键智能基础共性技术中不可缺少的一环,对预测设备与结构的故障并提供维修建议起到了至关重要的作用。含缺陷结构的完整性评定属于健康维护技术,其目的在于为设备和工程结构提供健康管理策略,优化使用和维护,降低维护成本。极端条件下压力容器、压力管道等各种工程结构和设备在制造和服役过程中不可避免会产生缺陷,因此含缺陷结构的完整性评定对保证设备的安全运行起到重要作用。对于含缺陷结构的完整性评价,目前已有多个方法提供保障,包括COD曲线法、应力强度因子法、J判据法,以及目前最常用的失效评定图法。失效评定图方法基于断裂力学原理和结构强度理论,将脆性断裂失效和极限载荷失效表征于同一个二维坐标系故又称为双判据法。因此,传统的失效评定图法只是考虑了断裂失效模式,没有考虑屈曲失效对含缺陷结构完整性评价的影响。As the backbone of the modern industrial system, high-end equipment manufacturing is a strategic emerging industry led by high and new technologies that determines the comprehensive competitiveness of the entire industrial chain. Among them, fault diagnosis and health maintenance technology, as an indispensable part of the nine types of key intelligent basic common technologies, plays a vital role in predicting equipment and structure failures and providing maintenance suggestions. The integrity assessment of defective structures belongs to health maintenance technology, which aims to provide health management strategies for equipment and engineering structures, optimize use and maintenance, and reduce maintenance costs. Under extreme conditions, various engineering structures and equipment such as pressure vessels and pressure pipelines will inevitably produce defects during the manufacturing and service processes. Therefore, the integrity assessment of structures containing defects plays an important role in ensuring the safe operation of equipment. For the integrity evaluation of defective structures, there are currently multiple methods to provide guarantees, including the COD curve method, the stress intensity factor method, the J criterion method, and the most commonly used failure assessment diagram method. The failure assessment diagram method is based on the principles of fracture mechanics and structural strength theory. It characterizes brittle fracture failure and ultimate load failure in the same two-dimensional coordinate system, so it is also called the double criterion method. Therefore, the traditional failure assessment diagram method only considers the fracture failure mode and does not consider the impact of buckling failure on the integrity evaluation of structures containing defects.

专利CN115169115A《基于应变的管道环焊缝失效评估图方法、设备及储存介质》中介绍一种基于应变的管道环焊缝失效评估图,准确表征了焊缝强度匹配对结构断裂的影响;专利CN112287577A《纳入面内与面外统一拘束的结构完整性评定方法》中提出基于统一拘束参数的失效评定图,提高失效评定图的评定精度。以上专利均涉及对失效评定图的改进,但没有专利考虑压载荷下含复合型裂纹结构屈曲失效对于缺陷评定的影响。含缺陷的结构不仅会发生断裂失效,还会发生屈曲失效,这取决于结构的几何尺寸、缺陷尺寸、材料属性和载荷等。当含缺陷的结构发生屈曲失效时,传统断裂失效评定图是不适用的。Patent CN115169115A "Method, Equipment and Storage Medium for Strain-Based Pipeline Girth Weld Failure Assessment Chart" introduces a strain-based pipeline girth weld failure assessment chart, which accurately represents the impact of weld strength matching on structural fracture; patent CN112287577A "Structural Integrity Assessment Method Incorporating Unified In-Plane and Out-of-Plane Constraints" proposes a failure assessment diagram based on unified constraint parameters to improve the assessment accuracy of the failure assessment diagram. The above patents all involve improvements to failure assessment diagrams, but no patent considers the impact of buckling failure of structures containing composite cracks under compressive load on defect assessment. Structures containing defects will not only suffer fracture failure, but also buckling failure, which depends on the geometric dimensions of the structure, defect size, material properties and loads. When buckling failure occurs in a structure containing defects, traditional fracture failure assessment diagrams are not applicable.

发明内容Contents of the invention

本发明提出了一种压载荷作用下含复合型裂纹结构的完整性评定方法,该方法较传统基于断裂失效的失效评定法,全面考虑了压载荷下含复合型裂纹结构的可能失效模式,解决了当含缺陷的结构发生屈曲失效时,传统断裂失效评定图不适用的问题,可以提高压载荷下含表面裂纹结构完整性评定的准确性。The present invention proposes an integrity assessment method for structures containing composite cracks under compressive load. This method is more traditional than the traditional failure assessment method based on fracture failure. It comprehensively considers the possible failure modes of structures containing composite cracks under compressive load and solves the problem. This method solves the problem that traditional fracture failure assessment diagrams are not applicable when buckling failure occurs in a structure containing defects, and can improve the accuracy of integrity assessment of structures containing surface cracks under compressive load.

实现本发明的技术解决方案为:一种压载荷作用下含裂纹结构的完整性评定方法,步骤如下:The technical solution to realize the present invention is: a method for integrity assessment of cracked structures under compressive load. The steps are as follows:

步骤S1:对待评定的含复合型裂纹结构的几何尺寸和缺陷尺寸进行表征,并确定上述含复合型裂纹结构的材料属性,转入步骤S2。Step S1: Characterize the geometric dimensions and defect sizes of the structure containing composite cracks to be evaluated, and determine the material properties of the structure containing composite cracks, and then proceed to step S2.

步骤S2:根据几何尺寸、缺陷尺寸和材料属性,将载荷形式设置为压载荷,建立含复合型裂纹结构的有限元模型,再通过有限元方法确定含复合型裂纹结构的极限载荷PL和屈曲载荷PB,并且确定不同载荷比下的断裂载荷比集合Lr、屈曲载荷比集合Br以及断裂比集合Kr,转入步骤S3。Step S2: Based on the geometric size, defect size and material properties, set the load form to compressive load, establish a finite element model of the structure containing composite cracks, and then determine the ultimate load PL and buckling of the structure containing composite cracks through the finite element method Load P B , and determine the fracture load ratio set L r , the buckling load ratio set B r and the fracture ratio set K r under different load ratios, and then proceed to step S3.

步骤S3:根据Lr、Br和Kr,参照GB/T 19624-2019规范,建立含复合型裂纹结构的失效评定曲线,包括基于断裂失效的失效评定曲线以及基于屈曲失效的失效评定曲线。Step S3: Based on L r , B r and K r , and with reference to the GB/T 19624-2019 specification, establish a failure assessment curve for the structure containing composite cracks, including a failure assessment curve based on fracture failure and a failure assessment curve based on buckling failure.

基于断裂失效的失效评定曲线表达式f(Lr)如下:The failure evaluation curve expression f(L r ) based on fracture failure is as follows:

f(Lr)=Kr,Lr≤Lr max f(L r )=K r , L r ≤L r max

基于屈曲失效的失效评定曲线表达式f(Br)如下:The failure evaluation curve expression f( Br ) based on buckling failure is as follows:

f(Br)=Kr,Br≤Br max f(B r )=K r , B r ≤ B r max

其中,Lr max为基于断裂失效的失效评定曲线截止线值,Br max为基于屈曲失效的失效评定曲线截止线值。Among them, L r max is the cut-off line value of the failure assessment curve based on fracture failure, and B r max is the cut-off line value of the failure assessment curve based on buckling failure.

转入步骤S4。Go to step S4.

步骤S4:根据含复合型裂纹结构失效评定曲线构建上述含复合型裂纹结构三维失效评定曲线,具体如下:Step S4: Construct the above three-dimensional failure assessment curve of the structure containing composite cracks based on the failure assessment curve of the structure containing composite cracks, as follows:

S41、建立三维失效评定曲线表达式f(Lr,Br):S41. Establish a three-dimensional failure assessment curve expression f (L r , B r ):

f(Lr,Br)=Kr f(L r ,B r )=K r

S42、绘制三维失效评定曲线:S42. Draw a three-dimensional failure assessment curve:

在含复合型裂纹结构三维失效评定曲线中,Lr、Br、Kr分别对应代表X轴、Y轴和Z轴,三维失效评定曲线在Lr-Kr平面内的投影线为断裂失效评定曲线,在Br-Kr平面内的投影线为屈曲失效评定曲线。再将断裂失效评定曲线截止线和屈曲失效评定曲线截止线分别投影到三维失效评定曲线上,构成三维失效评定曲线的两条截止线,进而得到三维失效评定曲线。In the three-dimensional failure assessment curve of a structure containing composite cracks, L r , B r , and K r respectively represent the X-axis, Y-axis, and Z-axis. The projection line of the three-dimensional failure assessment curve in the L r -K r plane is the fracture failure. Evaluation curve, the projection line in the B r -K r plane is the buckling failure evaluation curve. Then the cut-off line of the fracture failure assessment curve and the cut-off line of the buckling failure assessment curve are respectively projected onto the three-dimensional failure assessment curve, forming two cut-off lines of the three-dimensional failure assessment curve, and then the three-dimensional failure assessment curve is obtained.

转入步骤S5。Go to step S5.

步骤S5:对含复合型裂纹结构施加某一个压载荷F,当前工况下的评定点坐标为(Lr *,Br *,Kr *),具体如下:Step S5: Apply a certain compressive load F to the structure containing composite cracks. The coordinates of the evaluation point under the current working condition are (L r * , B r * , K r * ), as follows:

其中,Lr *代表评定点在X轴上的位置,Br *代表评定点在Y轴上的位置,Kr *代表评定点在Z轴上的位置。F为对含复合型裂纹结构施加的某一个压载荷。K为裂纹尖端应力强度因子。Kc为材料断裂韧度。Among them, L r * represents the position of the evaluation point on the X axis, B r * represents the position of the evaluation point on the Y axis, and K r * represents the position of the evaluation point on the Z axis. F is a certain compressive load applied to the structure containing composite cracks. K is the crack tip stress intensity factor. K c is the material fracture toughness.

转入步骤S6。Go to step S6.

步骤S6:判断评定点在Lr-Kr平面内的投影点和断裂失效评定曲线的位置关系,以及评定点在Br-Kr平面内的投影点和屈曲失效评定曲线的位置关系,对含复合型裂纹结构进行安全性评定:Step S6: Determine the positional relationship between the projection point of the evaluation point in the L r -K r plane and the fracture failure evaluation curve, and the positional relationship between the projection point of the evaluation point in the B r -K r plane and the buckling failure evaluation curve. Safety assessment of structures containing composite cracks:

当评定点坐标(Lr *,Br *,Kr *)的投影点落在各自的失效评定曲线、截止线和坐标轴围成的区域内时,表明含复合型裂纹结构在压载荷F作用下是安全的,该含复合型裂纹结构不发生断裂失效或屈曲失效。When the projection point of the evaluation point coordinates (L r * , B r * , K r * ) falls within the area enclosed by the respective failure evaluation curve, cut-off line and coordinate axis, it indicates that the structure containing composite cracks is under the compressive load F It is safe under load, and the structure containing composite cracks will not suffer from fracture failure or buckling failure.

当评定点坐标(Lr *,Br *,Kr *)的投影点落在屈曲失效评定曲线及其截止线外,且落在断裂失效曲线及其截止线内时,表明含复合型裂纹结构发生屈曲失效。When the projection point of the evaluation point coordinates (L r * , B r * , K r * ) falls outside the buckling failure evaluation curve and its cut-off line, and falls within the fracture failure curve and its cut-off line, it indicates that there is a composite crack. Buckling failure of the structure occurs.

当评定点坐标(Lr *,Br *,Kr *)的投影点落在断裂失效评定曲线及其截止线外,同时落在屈曲失效曲线及其截止线内时,表明含复合型裂纹结构发生断裂失效。When the projection point of the evaluation point coordinates (L r * , B r * , K r * ) falls outside the fracture failure evaluation curve and its cut-off line, and simultaneously falls within the buckling failure curve and its cut-off line, it indicates that there is a composite crack. The structure breaks and fails.

本发明与现有技术相比,其显著优点在于:Compared with the prior art, the significant advantages of the present invention are:

(1)考虑压载荷作用下含复合型裂纹结构发生屈曲失效的情况。因此,在现有断裂失效评定曲线的基础上,考虑压载荷下含复合型裂纹结构屈曲失效模式,建立屈曲失效评定曲线。全面纳入评定结构可能失效模式,与断裂失效评定模式相比更加合理和准确。(1) Consider the buckling failure of a structure containing composite cracks under compressive load. Therefore, based on the existing fracture failure evaluation curve, a buckling failure evaluation curve was established by considering the buckling failure mode of the structure containing composite cracks under compressive load. It comprehensively incorporates the possible failure modes of the assessment structure, which is more reasonable and accurate compared with the fracture failure assessment mode.

(2)建立了和传统断裂失效评定曲线相对应的屈曲失效评定曲线。(2) A buckling failure evaluation curve corresponding to the traditional fracture failure evaluation curve was established.

(3)失效评定图是断裂失效评定曲线结合屈曲失效评定曲线的三维失效评定图,能更加直观地判断含复合型裂纹结构的失效模式。(3) The failure assessment chart is a three-dimensional failure assessment chart that combines the fracture failure assessment curve with the buckling failure assessment curve, which can more intuitively determine the failure mode of a structure containing composite cracks.

附图说明Description of the drawings

图1是本发明中的断裂失效评定曲线和屈曲失效评定曲线示意图。Figure 1 is a schematic diagram of the fracture failure evaluation curve and the buckling failure evaluation curve in the present invention.

图2是本发明中的断裂失效评定曲线和屈曲失效评定曲线相结合的三维失效评定图示意图。Figure 2 is a schematic diagram of a three-dimensional failure assessment diagram combining the fracture failure assessment curve and the buckling failure assessment curve in the present invention.

图3是评定点坐标放入三维失效评定图中进行评定,发生屈曲失效的示意图。Figure 3 is a schematic diagram of the buckling failure occurring when the coordinates of the assessment points are put into a three-dimensional failure assessment diagram for assessment.

图4是评定点坐标放入三维失效评定图中进行评定,发生断裂失效的示意图。Figure 4 is a schematic diagram of the assessment point coordinates being put into a three-dimensional failure assessment diagram for assessment, and fracture failure occurs.

图5是根据本发明的一个实施例的压载荷作用下含复合型表面裂纹板的几何和裂纹尺寸表征示意图。Figure 5 is a schematic diagram illustrating the geometry and crack size of a plate containing composite surface cracks under compressive load according to an embodiment of the present invention.

图6是根据本发明的一个实施例的压载荷作用下含复合型表面裂纹板的有限元模型和裂纹前沿网格分布图。Figure 6 is a finite element model and crack front grid distribution diagram of a plate containing composite surface cracks under compressive load according to an embodiment of the present invention.

图7是根据本发明的一个实施例的三维失效评定结果图。Figure 7 is a three-dimensional failure assessment result diagram according to an embodiment of the present invention.

图8为本发明压载荷作用下含复合型裂纹结构的完整性评定方法流程图。Figure 8 is a flow chart of the integrity assessment method of a structure containing composite cracks under compressive load according to 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的一部分实施例,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 technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments are only some of the embodiments of the present invention, rather than all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those of ordinary skill in the art without creative efforts fall within the scope of protection of the present invention.

需要说明,本发明实施例中所有方向性指示(诸如上、下、左、右、前、后……)仅用于解释在某一特定姿态(如附图所示)下各部件之间的相对位置关系、运动情况等,如果该特定姿态发生改变时,则该方向性指示也相应地随之改变。It should be noted that all directional indications (such as up, down, left, right, front, back...) in the embodiment of the present invention are only used to explain the relationship between components in a specific posture (as shown in the drawings). Relative positional relationship, movement conditions, etc., if the specific posture changes, the directional indication will also change accordingly.

另外,本发明各个实施例之间的技术方案可以相互结合,但是必须是以本领域普通技术人员能够实现为基础,当技术方案的结合出现相互矛盾或无法实现时应当认为这种技术方案的结合不存在,也不在本发明要求的保护范围指内。In addition, the technical solutions between the various embodiments of the present invention can be combined with each other, but it must be based on what a person of ordinary skill in the art can implement. When the combination of technical solutions is contradictory or cannot be realized, it should be considered that such a combination of technical solutions is possible. It does not exist and is not within the protection scope required by the present invention.

下面将结合本设计实例对具体实施方式、以及本次发明的技术难点、发明点进行进一步介绍。The specific implementation, as well as the technical difficulties and invention points of this invention will be further introduced below based on this design example.

结合图1~图8,一种压载荷作用下含复合型裂纹结构的完整性评定方法,步骤如下:Combined with Figures 1 to 8, a method for integrity assessment of structures containing composite cracks under compressive load is provided. The steps are as follows:

步骤S1:参照GB/T 19624-2019对待评定的含复合型裂纹结构的几何尺寸和缺陷尺寸进行表征,并确定上述含复合型裂纹结构的材料属性。缺陷尺寸包括表面裂纹深度a、裂纹半长轴c以及复合型表面裂纹倾角β,材料属性包括弹性模量E、裂纹面摩擦系数μ、泊松比υ、屈服强度σs和抗拉强度σbStep S1: Characterize the geometric dimensions and defect sizes of the structure containing composite cracks to be evaluated with reference to GB/T 19624-2019, and determine the material properties of the structure containing composite cracks. The defect size includes surface crack depth a, crack semi-major axis c, and composite surface crack inclination angle β. Material properties include elastic modulus E, crack surface friction coefficient μ, Poisson’s ratio υ, yield strength σ s and tensile strength σ b .

转入步骤S2。Go to step S2.

步骤S2:根据几何尺寸、缺陷尺寸和材料属性,将载荷形式设置为压载荷,建立含复合型裂纹结构的有限元模型,再通过有限元方法确定含复合型裂纹结构的极限载荷PL和屈曲载荷PB,并且确定不同载荷比下的断裂载荷比集合Lr、屈曲载荷比集合Br以及断裂比集合KrStep S2: Based on the geometric size, defect size and material properties, set the load form to compressive load, establish a finite element model of the structure containing composite cracks, and then determine the ultimate load PL and buckling of the structure containing composite cracks through the finite element method Load P B , and determine the fracture load ratio set L r , the buckling load ratio set B r and the fracture ratio set K r under different load ratios:

其中,P为对含复合型裂纹结构施加的不同压载荷;Je为线弹性J积分,Jep为弹塑性J积分。Among them, P is the different compressive loads applied to the structure containing composite cracks; J e is the linear elastic J integral, and J ep is the elastic plastic J integral.

转入步骤S3。Go to step S3.

步骤S3:在压载荷下,结构可能发生屈曲失效,这取决于含复合型裂纹结构的几何尺寸、缺陷尺寸、材料属性及载荷等。例如当含复合型裂纹板结构厚度减小或缺陷尺寸增大时,含复合型裂纹板结构发生屈曲失效可能性增加。此时采用传统的断裂失效评定图进行评定缺乏合理依据,需要建立屈曲失效评定图满足评定的需求。根据Lr、Br和Kr,参照GB/T19624-2019规范,建立含复合型裂纹结构失效评定图中的失效评定曲线,包括基于断裂失效的失效评定曲线以及基于屈曲失效的失效评定曲线(如图1所示)。Step S3: Under compressive load, buckling failure of the structure may occur, which depends on the geometric size, defect size, material properties and load of the structure containing composite cracks. For example, when the thickness of a plate structure containing composite cracks decreases or the size of defects increases, the possibility of buckling failure of the plate structure containing composite cracks increases. At this time, there is no reasonable basis for using the traditional fracture failure assessment chart for assessment, and a buckling failure assessment chart needs to be established to meet the assessment needs. According to L r , B r and K r , with reference to the GB/T19624-2019 specification, the failure assessment curve in the failure assessment diagram of the structure containing composite cracks is established, including a failure assessment curve based on fracture failure and a failure assessment curve based on buckling failure ( As shown in Figure 1).

基于断裂失效的失效评定曲线表达式f(Lr)如下:The failure evaluation curve expression f(L r ) based on fracture failure is as follows:

f(Lr)=Kr,Lr≤Lr max f(L r )=K r , L r ≤L r max

在建立屈曲失效评定曲线时,将传统失效评定曲线中断裂载荷比Lr改为屈曲载荷比Br,并且两者共用断裂比KrWhen establishing the buckling failure evaluation curve, the fracture load ratio L r in the traditional failure evaluation curve is changed to the buckling load ratio B r , and the two share the fracture ratio K r .

基于屈曲失效的失效评定曲线表达式f(Br)如下:The failure evaluation curve expression f( Br ) based on buckling failure is as follows:

f(Br)=Kr,Br≤Br max f(B r )=K r , B r ≤ B r max

其中,Lr max为基于断裂失效的失效评定曲线截止线值,Br max为基于屈曲失效的失效评定曲线截止线值。Among them, L r max is the cut-off line value of the failure assessment curve based on fracture failure, and B r max is the cut-off line value of the failure assessment curve based on buckling failure.

其中,σb为材料的抗拉强度;σs为材料的屈服强度。Among them, σ b is the tensile strength of the material; σ s is the yield strength of the material.

转入步骤S4。Go to step S4.

步骤S4:根据含复合型裂纹结构失效评定曲线构建上述含复合型裂纹结构三维失效评定曲线(如图2所示),具体如下:Step S4: Construct the above three-dimensional failure assessment curve of the structure containing composite cracks based on the failure assessment curve of the structure containing composite cracks (as shown in Figure 2), the details are as follows:

S41、建立三维失效评定曲线表达式f(Lr,Br):S41. Establish a three-dimensional failure assessment curve expression f (L r , B r ):

f(Lr,Br)=Kr f(L r ,B r )=K r

S42、绘制三维失效评定曲线:S42. Draw a three-dimensional failure assessment curve:

在含复合型裂纹结构的三维失效评定曲线中,Lr、Br、Kr分别对应代表X轴、Y轴和Z轴,三维失效评定曲线在Lr-Kr平面内的投影线为断裂失效评定曲线,在Br-Kr平面内的投影线为屈曲失效评定曲线;再将断裂失效评定曲线的截止线和屈曲失效评定曲线的截止线分别投影到三维失效评定曲线上,构成三维失效评定曲线的两条截止线,进而得到三维失效评定曲线。In the three-dimensional failure assessment curve of a structure containing composite cracks, L r , B r , and K r respectively represent the X-axis, Y-axis, and Z-axis. The projection line of the three-dimensional failure assessment curve in the L r -K r plane is the fracture. Failure assessment curve, the projection line in the B r -K r plane is the buckling failure assessment curve; then the cut-off line of the fracture failure assessment curve and the cut-off line of the buckling failure assessment curve are respectively projected onto the three-dimensional failure assessment curve to form a three-dimensional failure The two cut-off lines of the evaluation curve are then used to obtain a three-dimensional failure evaluation curve.

转入步骤S5。Go to step S5.

步骤S5:对含复合型裂纹结构施加某一个压载荷F,当前工况下的评定点坐标为(Lr *,Br *,Kr *),具体如下:Step S5: Apply a certain compressive load F to the structure containing composite cracks. The coordinates of the evaluation point under the current working condition are (L r * , B r * , K r * ), as follows:

其中,Lr *代表评定点在X轴上的位置,Br *代表评定点在Y轴上的位置,Kr *代表评定点在Z轴上的位置,K为通过有限元法计算获得的裂纹尖端应力强度因子,Kc为材料断裂韧度。Among them, L r * represents the position of the evaluation point on the X axis, B r * represents the position of the evaluation point on the Y axis, K r * represents the position of the evaluation point on the Z axis, and K is calculated by the finite element method. Crack tip stress intensity factor, K c is the material fracture toughness.

材料断裂韧度Kc如下:The material fracture toughness K c is as follows:

其中,E为材料的弹性模量,υ为材料泊松比,JIC为材料延性断裂韧度。Among them, E is the elastic modulus of the material, υ is the Poisson's ratio of the material, and J IC is the ductile fracture toughness of the material.

对于裂纹尖端应力强度因子K,选取的是裂纹前沿的应力强度因子值,由于含复合型裂纹结构受到压载荷作用,I型应力强度因子KI为0。应力强度因子取裂纹前沿的II型应力强度因子KII和III型应力强度因子KIII值。而JIC是材料的延性断裂韧度,通过实验或标准即能获得。For the stress intensity factor K at the crack tip, the stress intensity factor value at the crack front is selected. Since the structure containing composite cracks is subject to compressive load, the type I stress intensity factor K I is 0. The stress intensity factor takes the value of type II stress intensity factor K II and type III stress intensity factor K III at the crack front. JIC is the ductile fracture toughness of the material, which can be obtained through experiments or standards.

转入步骤S6。Go to step S6.

步骤S6:判断评定点在Lr-Kr平面内的投影点和断裂失效评定曲线的位置关系,以及评定点在Br-Kr平面内的投影点和屈曲失效评定曲线的位置关系,对含复合型裂纹结构进行安全性评定:Step S6: Determine the positional relationship between the projection point of the evaluation point in the L r -K r plane and the fracture failure evaluation curve, and the positional relationship between the projection point of the evaluation point in the B r -K r plane and the buckling failure evaluation curve. Safety assessment of structures containing composite cracks:

当评定点坐标(Lr *,Br *,Kr *)的投影点落在各自的失效评定曲线、截止线和坐标轴围成的区域内时,表明含复合型裂纹结构在压载荷F作用下是安全的,该含复合型裂纹结构不发生断裂失效或屈曲失效。When the projection point of the evaluation point coordinates (L r * , B r * , K r * ) falls within the area enclosed by the respective failure evaluation curve, cut-off line and coordinate axis, it indicates that the structure containing composite cracks is under the compressive load F It is safe under load, and the structure containing composite cracks will not suffer from fracture failure or buckling failure.

当评定点坐标(Lr *,Br *,Kr *)的投影点落在屈曲失效评定曲线及其截止线外,且落在断裂失效曲线及其截止线内时,表明含复合型裂纹结构发生屈曲失效(如图3所示)。When the projection point of the evaluation point coordinates (L r * , B r * , K r * ) falls outside the buckling failure evaluation curve and its cut-off line, and falls within the fracture failure curve and its cut-off line, it indicates that there is a composite crack. The structure suffered buckling failure (as shown in Figure 3).

当评定点坐标(Lr *,Br *,Kr *)的投影点落在断裂失效评定曲线及其截止线外,同时落在屈曲失效曲线及其截止线内时,表明含复合型裂纹结构发生断裂失效(如图4所示)。When the projection point of the evaluation point coordinates (L r * , B r * , K r * ) falls outside the fracture failure evaluation curve and its cut-off line, and simultaneously falls within the buckling failure curve and its cut-off line, it indicates that there is a composite crack. The structure fractured and failed (as shown in Figure 4).

实施例Example

本实施例中,待评定的含复合型裂纹结构为板件,其材料为TA2工业纯钛,弹性模量E=113161.41MPa,泊松比υ=0.348。屈服强度σs=418.23MPa,抗拉强度σb=500.18MPa。含复合型裂纹板的集合尺寸为t=10mm,宽度2W=200mm。复合型表面裂纹尺寸为a=4mm,c=20mm(a/c=0.2,a/t=0.4,倾角β=45°,t为板厚),裂纹面摩擦系数μ为0.3,在裂纹板的上端与下端施加压载荷F=300MPa。In this embodiment, the structure containing composite cracks to be evaluated is a plate, and its material is TA2 industrial pure titanium, with an elastic modulus E=113161.41MPa and a Poisson's ratio υ=0.348. Yield strength σ s =418.23MPa, tensile strength σ b =500.18MPa. The size of the set containing composite cracked plates is t=10mm, and the width is 2W=200mm. The size of the composite surface crack is a=4mm, c=20mm (a/c=0.2, a/t=0.4, inclination angle β=45°, t is the plate thickness), the friction coefficient μ of the crack surface is 0.3, in the cracked plate A compressive load of F=300MPa is applied to the upper and lower ends.

步骤S1:明确待评定结构的几何尺寸(板厚度t=10mm和板宽度2W=200mm)、缺陷尺寸(复合型表面裂纹深度a=4mm和裂纹半长轴c=20mm,裂纹倾角β=45°)(如图5所示)和材料属性(弹性模量E=113161.41MPa和泊松比υ=0.348)。Step S1: Clarify the geometric dimensions of the structure to be evaluated (plate thickness t = 10mm and plate width 2W = 200mm), defect size (complex surface crack depth a = 4mm, crack semi-major axis c = 20mm, crack inclination angle β = 45° ) (shown in Figure 5) and material properties (elastic modulus E=113161.41MPa and Poisson’s ratio υ=0.348).

步骤S2:采用有限元方法计算(如图6所示)压载荷下含复合型表面裂纹板的塑性极限载荷PL=370.441MPa以及屈曲载荷PB=297.558MPa;通过施加不同载荷P,确定断裂载荷比集合Lr和屈曲载荷比Br的值;通过施加不同载荷P,用有限元方法求得不同载荷下弹性J积分Je和弹塑性J积分Jep的比值Je/Jep,进而确定断裂比集合Kr值。Step S2: Use the finite element method to calculate (as shown in Figure 6) the plastic limit load P L =370.441MPa and the buckling load P B =297.558MPa of the plate containing composite surface cracks under compressive load; determine the fracture by applying different loads P The values of the load ratio set L r and the buckling load ratio B r ; by applying different loads P, the finite element method is used to obtain the ratio J e /J ep of the elastic J integral J e and the elastic-plastic J integral J ep under different loads, and then Determine the fracture ratio set K r value.

步骤S3:根据Lr、Br和Kr,参照GB/T 19624-2019规范,建立含复合型裂纹结构失效评定曲线,包括基于断裂失效的失效评定曲线以及基于屈曲失效的失效评定曲线;计算得到截止线为Lr max(Br max)=1.1。Step S3: Based on L r , B r and K r , and with reference to the GB/T 19624-2019 specification, establish a failure assessment curve for the structure containing composite cracks, including a failure assessment curve based on fracture failure and a failure assessment curve based on buckling failure; calculation The cut-off line is obtained as L r max (B r max ) = 1.1.

步骤S4:根据含复合型裂纹结构失效评定曲线构建上述含复合型裂纹结构三维失效评定曲线,具体如下:Step S4: Construct the above three-dimensional failure assessment curve of the structure containing composite cracks based on the failure assessment curve of the structure containing composite cracks, as follows:

S41、建立三维失效评定曲线表达式f(Lr,Br):S41. Establish a three-dimensional failure assessment curve expression f (L r , B r ):

f(Lr,Br)=Kr f(L r ,B r )=K r

S42、绘制三维失效评定曲线:S42. Draw a three-dimensional failure assessment curve:

在含复合型裂纹结构三维失效评定曲线中,Lr、Br、Kr分别对应代表X轴、Y轴和Z轴,三维失效评定曲线在Lr-Kr平面内的投影线为断裂失效评定曲线,在Br-Kr平面内的投影线为屈曲失效评定曲线;再将断裂失效评定曲线截止线和屈曲失效评定曲线截止线分别投影到三维失效评定曲线上,构成三维失效评定曲线的两条截止线,进而得到三维失效评定曲线。In the three-dimensional failure assessment curve of a structure containing composite cracks, L r , B r , and K r respectively represent the X-axis, Y-axis, and Z-axis. The projection line of the three-dimensional failure assessment curve in the L r -K r plane is the fracture failure. Assessment curve, the projection line in the B r -K r plane is the buckling failure assessment curve; then the fracture failure assessment curve cut-off line and the buckling failure assessment curve cut-off line are respectively projected onto the three-dimensional failure assessment curve to form the three-dimensional failure assessment curve. Two cut-off lines are drawn, and a three-dimensional failure assessment curve is obtained.

步骤S5:对含复合型裂纹结构施加某一个压载荷F,当前工况下的评定点坐标为(Lr *,Br *,Kr *),具体如下:Step S5: Apply a certain compressive load F to the structure containing composite cracks. The coordinates of the evaluation point under the current working condition are (L r * , B r * , K r * ), as follows:

采用有限元方法计算裂纹前沿最深点处的应力强度因子值通过实验或标准获得材料的延性断裂韧度JIC=182.76KJ·m-2,计算材料的断裂韧度/> The finite element method is used to calculate the stress intensity factor value at the deepest point of the crack front. Obtain the ductile fracture toughness J IC =182.76KJ·m -2 of the material through experiments or standards, and calculate the fracture toughness of the material/>

步骤S6:评定点坐标(Lr *,Br *,Kr *)的投影点落在各自的失效评定曲线、截止线和坐标轴围成的三维区域内,表明裂纹板在压载荷F=300MPa下是安全的,裂纹板未发生强度失效或屈曲失效(如图7所示)。Step S6: The projection points of the evaluation point coordinates (L r * , B r * , K r * ) fall within the three-dimensional area enclosed by the respective failure evaluation curves, cut-off lines and coordinate axes, indicating that the cracked plate is under compressive load F = It is safe under 300MPa, and no strength failure or buckling failure occurred in the cracked plate (as shown in Figure 7).

Claims (7)

1. The method for evaluating the integrity of the composite crack-containing structure under the action of the ballast load is characterized by comprising the following steps:
step S1: characterizing the geometric dimension and the defect dimension of the structure containing the composite cracks to be evaluated, determining the material properties of the structure containing the composite cracks, and turning to the step S2;
step S2: according to the geometric dimension, the defect dimension and the material property, the load form is set as the compressive load, a finite element model containing the composite crack structure is established, and the limit load P containing the composite crack structure is determined by a finite element method L And buckling load P B And determining a set L of breaking load ratios at different load ratios r Buckling load ratio set B r Fracture ratio set K r Step S3 is carried out;
step S3: according to L r 、B r And K r Establishing a failure evaluation curve containing a composite crack structure according to GB/T19624-2019 specification, wherein the failure evaluation curve comprises a failure evaluation curve based on fracture failure and a failure evaluation curve based on buckling failure;
failure assessment Curve expression f (L) r ) The following are provided:
f(L r )=K r ,L r ≤L r max
failure assessment Curve expression f (B) based on buckling failure r ) The following are provided:
f(B r )=K r ,B r ≤B r max
wherein L is r max To evaluate the curve cut-off line value for failure based on fracture failure, B r max Evaluating a curve cutoff value for a failure based on a buckling failure;
turning to step S4;
step S4: constructing the three-dimensional failure evaluation curve containing the composite crack structure according to the failure evaluation curve containing the composite crack structure, wherein the three-dimensional failure evaluation curve containing the composite crack structure is specifically as follows:
s41, establishing a three-dimensional failure evaluation curve expression f (L) r ,B r ):
f(L r ,B r )=K r
S42, drawing a three-dimensional failure evaluation curve:
in the three-dimensional failure evaluation curve containing the composite crack structure, L r 、B r 、K r Respectively are provided withCorresponding to the X axis, the Y axis and the Z axis, the three-dimensional failure evaluation curve is in L r -K r The projection line in the plane is the fracture failure evaluation curve, at B r -K r The projection line in the plane is a buckling failure evaluation curve; respectively projecting the breaking failure evaluation curve cut-off line and the buckling failure evaluation curve cut-off line onto the three-dimensional failure evaluation curve to form two cut-off lines of the three-dimensional failure evaluation curve, thereby obtaining the three-dimensional failure evaluation curve;
turning to step S5;
step S5: applying a certain compressive load F to the structure containing the composite cracks, wherein the coordinate of the evaluation point under the current working condition is (L r * ,B r * ,K r * ) The method is characterized by comprising the following steps:
wherein L is r * Represents the position of the evaluation point on the X-axis, B r * Represents the position of the evaluation point on the Y-axis, K r * Representing the position of the evaluation point on the Z axis; f is a certain ballast load applied to the structure containing the composite cracks; k is a crack tip stress intensity factor; k (K) c Fracture toughness of the material;
turning to step S6;
step S6: judging that the evaluation point is at L r -K r Positional relationship between projected points in plane and fracture failure evaluation curve, and evaluation point in B r -K r And (3) carrying out safety assessment on the structure containing the composite cracks by the position relation between the projection points in the plane and the buckling failure assessment curve:
when evaluating the point coordinates (L r * ,B r * ,K r * ) When the projection points of the composite crack structure fall in the area surrounded by the failure evaluation curve, the cut-off line and the coordinate axis, the composite crack structure is safe under the action of the ballast load F, and the composite crack structure does not generate fracture failure or buckling failure;
when evaluating the point coordinates (L r * ,B r * ,K r * ) The projection points of the (a) fall outside the buckling failure evaluation curve and the cut-off line thereof, and fall inside the fracture failure curve and the cut-off line thereof, so that the buckling failure of the composite crack-containing structure is indicated;
when evaluating the point coordinates (L r * ,B r * ,K r * ) The projection points of the composite crack structure are located outside the fracture failure evaluation curve and the cut-off line thereof, and the projection points of the composite crack structure are located in the buckling failure curve and the cut-off line thereof at the same time, so that the composite crack structure is indicated to have fracture failure.
2. The method for evaluating the integrity of a composite crack-containing structure under a compressive load according to claim 1, wherein in step S1, the geometric dimensions and the defect dimensions of the composite crack-containing structure to be evaluated are measured and characterized, and the material properties of the composite crack-containing structure are determined, specifically as follows:
performing defect size characterization on the composite crack by referring to GB/T19624-2019;
the defect size comprises a surface crack depth a, a crack semi-long axis c and a composite surface crack inclination angle beta, and the material properties comprise an elastic modulus E, a crack surface friction coefficient mu, a Poisson ratio upsilon and a yield strength sigma s And tensile strength sigma b
3. The method for evaluating the structural integrity of a composite crack-containing structure under a compressive load according to claim 1, wherein in step S2,
wherein P is different ballast loads applied to the composite crack-containing structure; j (J) e Is the linear elasticity J integral, J ep Is the elastoplastic J integral.
4. The method for evaluating the structural integrity of a composite crack-containing structure under a compressive load as set forth in claim 1, wherein in step S3, the cutoff value L of the failure evaluation curve based on fracture failure is set r max And a cutoff value B of a failure assessment curve based on buckling failure r max Is defined as
Wherein sigma b Is the tensile strength of the material; sigma (sigma) s Is the yield strength of the material.
5. The method for evaluating the structural integrity of a composite crack under a compressive load according to claim 1, wherein in step S5, the crack tip stress intensity factor K is calculated by a finite element method;
fracture toughness K of material c The following are provided:
wherein E is the elastic modulus of the material, v is the Poisson's ratio of the material, J IC Is ductile fracture toughness of the material.
6. The method of claim 5, wherein the crack tip stress intensity factor K is selected from the group consisting of stress intensity factor values of crack fronts, and I-type stress intensity factor K due to the compressive loading of the composite crack structure I Is 0; the stress intensity factor takes the II type stress intensity factor K of the crack front II And type III stress intensity factor K III Values.
7. The method for evaluating the structural integrity of a composite crack-containing structure under a compressive load as set forth in claim 5, wherein J IC Is the ductile fracture toughness of the material, and can be obtained through experiments or standards.
CN202311025181.9A 2023-08-15 2023-08-15 Integrity assessment method of structures containing composite cracks under compressive load Active CN117131729B (en)

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