CN107330137A - A kind of metal material cuts the discrimination method of Parameters of constitutive model - Google Patents
A kind of metal material cuts the discrimination method of Parameters of constitutive model Download PDFInfo
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- CN107330137A CN107330137A CN201710346598.3A CN201710346598A CN107330137A CN 107330137 A CN107330137 A CN 107330137A CN 201710346598 A CN201710346598 A CN 201710346598A CN 107330137 A CN107330137 A CN 107330137A
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- G06F30/20—Design optimisation, verification or simulation
- G06F30/23—Design optimisation, verification or simulation using finite element methods [FEM] or finite difference methods [FDM]
Abstract
The present invention relates to the discrimination method that a kind of metal material cuts Parameters of constitutive model, methods described step is as follows：The 1st, the cutting constitutive model of material is described using JC constitutive models；2nd, metal material sample is compressed experiment and JC Parameters of constitutive model of the metal material under low strain dynamic rate is tried to achieve in fitting；3rd, obtained Parameters of constitutive model will be recognized as initial value by compression experiment in step (2), sets up optimization object function；4th, the standard value of the error between the experiment value and predicted value of setting flow stress, the constitutive parameter optimal solution of metal material sample is obtained based on genetic Optimization Algorithm；5th, the correctness for the parameter that the identification of checking metal material JC constitutive models is obtained；Efficiency is very high during the flow stress value obtained by JC constitutive models closely actual metal material flow stress value, identification Parameters of constitutive model, substantial amounts of compression test is carried out without the need for special equipment, so as to reduce cost.
Description
Technical field
The present invention relates to parameter identification technique field, distinguishing for Parameters of constitutive model is cut more particularly, to a kind of metal material
Knowledge method.
Background technology
At present, the research of the plastic deformation behavior on metal material in working angles under high strain-rate is less.Therefore,
In order to accurate description metal specimen cutting deformation behavior, it is necessary to set up accurate material constitutive model and carry out corresponding model ginseng
Several identifications, this is of great advantage to Accurate Prediction working angles quantity of state, raising surface quality of workpieces and optimization working angles.
Generally, the flow stress σ of metal material working angles and strain stress, strain rateThe physical quantitys such as temperature T are relevant, it
Between there is a kind of complicated constitutive relation：At present, lot of domestic and international scholar uses various correlation theories
Substantial amounts of research has been carried out to this constitutive relation with experimental method, and has established the empirical and thing for different metal material
Reason type constitutive model.For specific constitutive model, it is desirable to have reliable this structure data and corresponding mathematic(al) representation, and material
Compression experiment method is general to test to reappear the deformation process of material in working angles using SHPB as most efficient method, adopts
Although being widely used with this method in terms of material constitutive parameter is recognized, also there is following defect：(1), test
The flow stress data of acquisition still have certain limitation, i.e. strain stress≤1, strain rateDuring still far below cutting
Strain rate 106s-1；(2), need to carry out substantial amounts of compression experiment with special equipment, could obtain material different temperatures with
Deformed state under strain rate, than relatively time-consuming consumption cost.
The content of the invention
The technical problems to be solved by the invention are to provide a kind of flow stress that reduces and limit, improve identification efficiency and save
About the metal material of cost cuts the discrimination method of Parameters of constitutive model.
The technical solution adopted in the present invention is that a kind of metal material cuts the discrimination method of Parameters of constitutive model, described
Method and step is as follows：
(1) flow stress, according to metal material working angles is strained, the shadow of strain rate, temperature and the scope of application
Ring, the cutting constitutive model of material is described using JC constitutive models；
(2) metal material sample, is compressed experiment, and metal material is tried to achieve under low strain dynamic rate using fitting technique
5 JC Parameters of constitutive model：A, B, n, C, m, the A are yield strength, and B is hardening modulus, and n is strain hardening exponent, C
For strain rate sensitivity coefficient, m is thermal softening index；
(3), obtained Parameters of constitutive model will be recognized as initial value by compression experiment in step (2), with season A with
B is constant, and n, c and m are variable, and under the conditions of given identical cutting parameter, are cut by cutting force analytic modell analytical model and right angle
Experiment is cut, further according to shearing angle formula and flow stress formula, so as to obtain cutting force, centripetal force and flow stress, and is set up
Optimization object function；
(4), setting flow stress experiment value and predicted value between error standard value, based on genetic Optimization Algorithm come
Obtain the constitutive parameter optimal solution of metal material sample；
(5), under identical input condition, using simulation software to the metal material sample progress in orthogonal cutting process
Simulation analysis, the cutting force that emulation is drawn calculates obtained cutting force with cutting force analytic modell analytical model and contrasted, and verifies metal
The correctness for the parameter that the identification of material JC constitutive models is obtained.
In step (4), the method for the genetic Optimization Algorithm is：Constantly adjust 5 this structure moulds of metal material sample
Shape parameter：A, B, n, C, m, the parameter value adjusted each time is all updated in optimization object function to obtain the pre- of flow stress
Measured value, then obtains the error amount between flow stress predicted value and flow stress experiment value again, when being flowed in calculating process
When error amount between dynamic stress predicted value and flow stress experiment value is less than or equal to the standard value of setting in step (3), this
When just terminate genetic Optimization Algorithm iteration, and export current corresponding Parameters of constitutive model：A, B, n, C, m, the model of the determination
Parameter is optimal solution.
The beneficial effects of the invention are as follows：Using the above method, the flow stress value obtained by JC constitutive models is very
Close to actual metal material flow stress value, resulting flow stress value needs not be under the limitation of other factors, and
Efficiency is very high during recognizing Parameters of constitutive model, and substantial amounts of compression test is carried out without the need for special equipment, from
And reduce cost.
As preferential, the citation form of the JC constitutive models described in step (1) is：
Wherein, σ is von Mises flow stresses (MPa), and ε is plastic strain,For plastic strain rate (s-1),For ginseng
Strain rate is examined, T is the instantaneous absolute temperature of workpiece (K), TrIt is environment temperature (K), TmIt is material melting point temperature (K).I, II, III
Expression strain hardening respectively, strain rate hardening and thermal softening, A, B, n, C, m is five constitutive parameters to be solved, point
Wei not yield strength (MPa), hardening modulus (MPa), strain hardening exponent, strain rate sensitivity coefficient, thermal softening index.Using JC
Constitutive model has the advantages that larger with respect to other models：1st, expression way is fairly simple, and number of parameters is less and has clearly
Physical significance, constitutive parameter can more easily be recognized by the method for experiment；2nd, versatility is preferable, in actual applications
The dynamic plasticity characteristic of various metals material can be described：When the 3rd, carrying out finite element cutting simulation using JC models, it can be cut
Consider form, stress and Temperature Distribution and cutting force to be worth doing, it is fine with actual conditions uniformity.
As preferential, in step (3), the shearing angle formula and flow stress formula are respectively：
Wherein, φ is the angle of shear (deg)；t1For thickness of cutting (mm), the numerically equal to amount of feeding；t2For depth of cut
(mm)；α is tool orthogonal rake (deg)；σ is flow stress (N)；W is cutting width (mm).
As preferential, in step (3), optimization object function is：
Wherein, N is experimental data group number.
As preferential, in step (4), whole programmed algorithm is realized on the softwares of MATLAB 8.0, using MATLAB 8.0
Software formidably can carry out computing to program.
As preferential, in step (5), the simulation software used, can be more preferable for AdvantEdge finite element emulation softwares
Ground is emulated to the cutting force of metal material.
Brief description of the drawings
Fig. 1 cuts the flow chart of Parameters of constitutive model discrimination method for a kind of metal material of the invention；
Fig. 2 is orthogonal cutting experimental results figure of the invention.
Embodiment
Referring to the drawings and combine embodiment and further describe invention, to make those skilled in the art's reference
Specification word can be implemented according to this, and the scope of the present invention is not limited to the embodiment.
The present invention describes a kind of metal material cutting Parameters of constitutive model discrimination method, and specific implementation method is to use JC
Model describes plastic deformation characteristic of the metal material in cutting process, it is proposed that one kind is based on cutting force analytic modell analytical model
And the orthogonal cutting method that is combined of experiment recognizes its Parameters of constitutive model in machining.
The present invention relates to the discrimination method that a kind of metal material cuts Parameters of constitutive model, as shown in figure 1, methods described is walked
It is rapid as follows：
(1) flow stress, according to metal material working angles is strained, the shadow of strain rate, temperature and the scope of application
Ring, the cutting constitutive model of material is described using JC constitutive models；
The JC constitutive models, i.e. Johnson-Cook constitutive models, its with respect to other models have the advantages that it is larger, because
This, can describe flow behavior of the metal specimen in cutting process using JC models, and its citation form is：
Wherein, σ is von Mises flow stresses (MPa), and ε is plastic strain,For plastic strain rate (s-1),For reference
Strain rate, T is the instantaneous absolute temperature of workpiece (K), TrIt is environment temperature (K), TmIt is material melting point temperature (K).I, II, III points
Not Biao Shi strain hardening, strain rate hardening and thermal softening, A, B, n, C, m is five constitutive parameters to be solved, respectively
For yield strength (MPa), hardening modulus (MPa), strain hardening exponent, strain rate sensitivity coefficient, thermal softening index.
(2), by taking nickel-aluminum bronze material as an example, metal material sample is compressed experiment, and try to achieve using fitting technique
5 JC Parameters of constitutive model of the metal material under low strain dynamic rate：A, B, n, C, m, the A are yield strength, and B is hardening mould
Amount, n is strain hardening exponent, and C is strain rate sensitivity coefficient, and m is thermal softening index；
(3), obtained Parameters of constitutive model will be recognized as initial value by compression experiment in step (2), with season A with
B is constant, and n, c and m are variable, and under the conditions of given identical cutting parameter, are cut by cutting force analytic modell analytical model and right angle
Experiment is cut, and according to shearing angle formula and flow stress formula, sets up optimization object function；
(4), setting flow stress experiment value and predicted value between error standard value, based on genetic Optimization Algorithm come
Obtain the constitutive parameter optimal solution of metal material sample；The method of the genetic Optimization Algorithm is：Constantly adjust metal material
5 Parameters of constitutive model of sample：A, B, n, C, m, optimization object function is updated to by the parameter value adjusted each time
The predicted value of flow stress is obtained, the error amount between flow stress predicted value and flow stress experiment value is then obtained again, when
Occur error amount between flow stress predicted value and flow stress experiment value in calculating process and be less than or equal in step (3) to set
During fixed standard value, genetic Optimization Algorithm iteration is now just terminated, and export current corresponding Parameters of constitutive model：A,B,n,C,
M, the model parameter of the determination is optimal solution；
(5), under identical input condition (cutter geometry, cutting parameter), using simulation software in orthogonal cutting mistake
The metal material sample of journey carries out simulation analysis, will emulate the cutting force drawn with Predictive Model of Cutting Force and calculates obtained cutting
Power is contrasted, the correctness for the parameter that checking metal material JC constitutive model identifications are obtained.
, can be by taking orthogonal cutting experiment test as an example on step (3), Fig. 2 is orthogonal cutting experimental results, experiment
The equipment of use has lathe (the C8050 numerically controlled lathes of Shenyang machine tool plant), workpiece (nickel-aluminum bronze materials in the tube), device for measuring force
(Kistler 9257A piezoelectric types three-dimensional dynamometer), cutter (04-QM of Sandvik hard alloy cutters TNMG 16 04, cutter
- 6 ° of anterior angle, 0 ° of relief angle, 90 ° of tool cutting edge angle), by materials in the tube workpiece, orthogonal cutting blade, dynamometer and substitute into cutting parameter come
Do the cutting parameter in orthogonal cutting experiment, experimentation and be designed as 16 groups, in order to ensure the accuracy of result, every group of cutting is real
Test in triplicate, each working angles continue what is obtained under the conditions of 20s to 60s is this, by the geometric parameter of cutter material, workpiece
Material property, cutting parameter and material constitutive model parameter substitute into cutting force analytic modell analytical model, then in conjunction with formula：
So as to be obtained from orthogonal cutting experiment
To cutting forceCentripetal forceAnd flow stressCutting force is obtained from cutting force analytic modell analytical modelCentripetal forceAnd flow stressFinally draw following objective functions to optimize, the object function is：
In formula, φ is the angle of shear (deg)；t1For thickness of cutting (mm), the numerically equal to amount of feeding；t2For depth of cut
(mm)；α is tool orthogonal rake (deg)；σ is flow stress (N)；W is cutting width (mm)；N is experimental data group number.
In step (4), whole programmed algorithm is realized on the softwares of MATLAB 8.0, and following table gives metal material in cutting
The material constitutive parameter of JC models in processing：
In step (5), in order to verify the accuracy of recognized metal material machining JC this structure material parameters, in phase
Under same input condition (cutter geometry, cutting parameter), metal material is carried out using finite element emulation software AdvantEdge and existed
The simulation analysis of orthogonal cutting process, the cutting force that the cutting force that emulation is drawn is calculated with forecast model is contrasted, and is emulated
If as a result (see the table below) within 20% with the relative error that predicts the outcome, so as to show metal material JC this structure moulds of identification
The correctness of shape parameter.
Claims (7)
1. a kind of metal material cuts the discrimination method of Parameters of constitutive model, it is characterised in that：Methods described step is as follows：
(1) flow stress, according to metal material working angles is strained, the influence of strain rate, temperature and the scope of application, adopts
The cutting constitutive model of material is described with JC constitutive models；
(2) metal material sample, is compressed experiment, and 5 of metal material under low strain dynamic rate are tried to achieve using fitting technique
Individual JC Parameters of constitutive model：A, B, n, C, m, the A are yield strength, and B is hardening modulus, and n is strain hardening exponent, and C is should
Variability sensitivity coefficient, m is thermal softening index；
(3), obtained Parameters of constitutive model will be recognized as initial value by compression experiment in step (2), is with season A and B
Constant, n, c and m are variable, and under the conditions of given identical cutting parameter, it is real by cutting force analytic modell analytical model and orthogonal cutting
Test, further according to shearing angle formula and flow stress formula, so as to obtain cutting force, centripetal force and flow stress, and set up optimization
Object function；
(4), the standard value of the error between the experiment value and predicted value of setting flow stress, is obtained based on genetic Optimization Algorithm
The constitutive parameter optimal solution of metal material sample；
(5), under identical input condition, using simulation software to being emulated in the metal material sample of orthogonal cutting process
Analysis, the cutting force that emulation is drawn calculates obtained cutting force with cutting force analytic modell analytical model and contrasted, and verifies metal material
The correctness for the parameter that the identification of JC constitutive models is obtained.
2. a kind of metal material according to claim 1 cuts the discrimination method of Parameters of constitutive model, it is characterised in that：Step
Suddenly the citation form of the JC constitutive models described in (1) is：
Wherein, σ is flow stress (MPa), and ε is plastic strain,For plastic strain rate (s-1),To refer to strain rate, T is work
The instantaneous absolute temperature of part (K), TrIt is environment temperature (K), TmIt is material melting point temperature (K), I, II, III represent strain hardening respectively
, strain rate hardening and thermal softening, A, B, n, C, m is five constitutive parameters to be solved, respectively yield strength
(MPa), hardening modulus (MPa), strain hardening exponent, strain rate sensitivity coefficient, thermal softening index.
3. a kind of metal material according to claim 1 cuts the discrimination method of Parameters of constitutive model, it is characterised in that：Step
Suddenly in (4), the method for the genetic Optimization Algorithm is：Constantly adjust 5 Parameters of constitutive model of metal material sample：A,B,
N, C, m, the parameter value adjusted each time is all updated in optimization object function to obtain the predicted value of flow stress, Ran Houzai
The error amount between flow stress predicted value and flow stress experiment value is obtained, when occurring flow stress predicted value in calculating process
When error amount between flow stress experiment value is less than or equal to the standard value of setting in step (3), heredity is now just terminated
Optimized algorithm iteration, and export current corresponding Parameters of constitutive model：A, B, n, C, m, the model parameter of the determination are as optimal
Solution.
4. a kind of metal material according to claim 1 cuts the discrimination method of Parameters of constitutive model, it is characterised in that：Step
Suddenly in (3), the shearing angle formula and flow stress formula are respectively：
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Wherein, φ is the angle of shear (deg)；t1For thickness of cutting (mm), the numerically equal to amount of feeding；t2For depth of cut (mm)；α
For tool orthogonal rake (deg)；σ is flow stress (N)；W is cutting width (mm).
5. a kind of metal material according to claim 1 cuts the discrimination method of Parameters of constitutive model, it is characterised in that：Step
Suddenly in (3), optimization object function is：Wherein, N is experimental data group
Number.
6. a kind of metal material according to claim 1 cuts the discrimination method of Parameters of constitutive model, it is characterised in that：Step
Suddenly in (4), whole programmed algorithm is realized on the softwares of MATLAB 8.0.
7. a kind of metal material according to claim 1 cuts the discrimination method of Parameters of constitutive model, it is characterised in that：Step
Suddenly in (5), AdvantEdge finite element emulation softwares is in the simulation software used.
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Cited By (11)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN107967381A (en) * | 2017-11-16 | 2018-04-27 | 西北工业大学 | In-situ self-generated TiB2Particle enhanced aluminum-based composite material J-C constitutive model fast solution methods |
| CN108416109A (en) * | 2018-02-06 | 2018-08-17 | 华侨大学 | The bearing calibration of process numerical simulation material constitutive model |
| CN110287593A (en) * | 2019-06-25 | 2019-09-27 | 东北大学 | One kind being bolted model interface parameter identification method |
| CN112182930A (en) * | 2020-09-18 | 2021-01-05 | 西北工业大学 | Titanium alloy TC4 cutting constitutive model correction method |
| CN112861318A (en) * | 2021-01-12 | 2021-05-28 | 华中科技大学 | Material constitutive model parameter identification method and system based on cutting imaging |
| CN113836774A (en) * | 2021-09-30 | 2021-12-24 | 华中科技大学 | Uncertain calibration method for metal cutting simulation process with mechanism and data fusion |
| CN113868912A (en) * | 2021-09-27 | 2021-12-31 | 西北工业大学 | Parameter identification and correction method for J-C constitutive model of titanium alloy |
| CN114535600A (en) * | 2022-01-11 | 2022-05-27 | 天津大学 | Method for optimizing CuAlNi memory alloy 4D printing process |
| CN114927175A (en) * | 2022-05-11 | 2022-08-19 | 四川大学 | High-throughput calculation method for material stretching constitutive parameter fitting |
| CN117454673A (en) * | 2023-12-22 | 2024-01-26 | 中南大学 | Method and device for constructing metal material constitutive model by considering cooling rate |
| CN113836774B (en) * | 2021-09-30 | 2024-05-14 | 华中科技大学 | Mechanism and data fusion metal cutting simulation process uncertainty calibration method |
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Cited By (17)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN107967381A (en) * | 2017-11-16 | 2018-04-27 | 西北工业大学 | In-situ self-generated TiB2Particle enhanced aluminum-based composite material J-C constitutive model fast solution methods |
| CN108416109A (en) * | 2018-02-06 | 2018-08-17 | 华侨大学 | The bearing calibration of process numerical simulation material constitutive model |
| CN108416109B (en) * | 2018-02-06 | 2022-03-04 | 华侨大学 | Correction method of material constitutive model for machining process numerical simulation |
| CN110287593B (en) * | 2019-06-25 | 2023-04-18 | 东北大学 | Method for identifying interface parameters of bolt connection model |
| CN110287593A (en) * | 2019-06-25 | 2019-09-27 | 东北大学 | One kind being bolted model interface parameter identification method |
| CN112182930A (en) * | 2020-09-18 | 2021-01-05 | 西北工业大学 | Titanium alloy TC4 cutting constitutive model correction method |
| CN112861318A (en) * | 2021-01-12 | 2021-05-28 | 华中科技大学 | Material constitutive model parameter identification method and system based on cutting imaging |
| CN113868912A (en) * | 2021-09-27 | 2021-12-31 | 西北工业大学 | Parameter identification and correction method for J-C constitutive model of titanium alloy |
| CN113868912B (en) * | 2021-09-27 | 2023-02-28 | 西北工业大学 | Parameter identification and correction method for J-C constitutive model of titanium alloy |
| CN113836774A (en) * | 2021-09-30 | 2021-12-24 | 华中科技大学 | Uncertain calibration method for metal cutting simulation process with mechanism and data fusion |
| CN113836774B (en) * | 2021-09-30 | 2024-05-14 | 华中科技大学 | Mechanism and data fusion metal cutting simulation process uncertainty calibration method |
| CN114535600A (en) * | 2022-01-11 | 2022-05-27 | 天津大学 | Method for optimizing CuAlNi memory alloy 4D printing process |
| CN114535600B (en) * | 2022-01-11 | 2024-04-19 | 天津大学 | CuAlNi memory alloy 4D printing process optimization method |
| CN114927175B (en) * | 2022-05-11 | 2023-05-02 | 四川大学 | High-flux calculation method for material stretching constitutive parameter fitting |
| CN114927175A (en) * | 2022-05-11 | 2022-08-19 | 四川大学 | High-throughput calculation method for material stretching constitutive parameter fitting |
| CN117454673A (en) * | 2023-12-22 | 2024-01-26 | 中南大学 | Method and device for constructing metal material constitutive model by considering cooling rate |
| CN117454673B (en) * | 2023-12-22 | 2024-03-12 | 中南大学 | Method and device for constructing metal material constitutive model by considering cooling rate |
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Application publication date: 20171107 |