Simulation of PLC Effect Using Regularized Large-Strain Elasto-Plasticity
The purpose of this paper is to develop a constitutive description and to numerically simulate a propagating instability phenomenon called the Portevin–Le Chatelier (PLC) effect, which is observed for metallic materials. It manifests itself by moving plastic shear bands in the sample and serrations...
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| Format: | Article |
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MDPI AG
2022-06-01
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| Series: | Materials |
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| Online Access: | https://www.mdpi.com/1996-1944/15/12/4327 |
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| author | Marzena Mucha Balbina Wcisło Jerzy Pamin |
| author_facet | Marzena Mucha Balbina Wcisło Jerzy Pamin |
| author_sort | Marzena Mucha |
| collection | DOAJ |
| description | The purpose of this paper is to develop a constitutive description and to numerically simulate a propagating instability phenomenon called the Portevin–Le Chatelier (PLC) effect, which is observed for metallic materials. It manifests itself by moving plastic shear bands in the sample and serrations in the stress–strain diagram. In this paper, the PLC is modeled by geometrically non-linear thermo-visco-plasticity with the hardening function of the Estrin–McCormick type to reproduce a serrated response. To regularize softening, which in this model comes from thermal, geometrical and strain-rate effects, the viscosity and heat conductivity are incorporated. Plasticity description can additionally include degradation of the yield strength, and then the model is enhanced by higher-order gradients. Simulations are performed using AceGen/FEM. Two tensioned specimens are tested: a rod and a dog-bone sample. The first specimen is used for general verification. The results obtained for the second specimen are compared with the experimental results. Studies for different values of model parameters are performed. The results of the simulations are in good agreement with the experimental outcome and the sensitivity to model parameters is in line with the expectations for the pre-peak regime. In the presented tests, the gradient enhancement does not significantly influence the results. |
| first_indexed | 2024-03-09T23:09:36Z |
| format | Article |
| id | doaj.art-34b8fc13ceca4b7792add168a23099c8 |
| institution | Directory Open Access Journal |
| issn | 1996-1944 |
| language | English |
| last_indexed | 2024-03-09T23:09:36Z |
| publishDate | 2022-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Materials |
| spelling | doaj.art-34b8fc13ceca4b7792add168a23099c82023-11-23T17:46:38ZengMDPI AGMaterials1996-19442022-06-011512432710.3390/ma15124327Simulation of PLC Effect Using Regularized Large-Strain Elasto-PlasticityMarzena Mucha0Balbina Wcisło1Jerzy Pamin2Chair for Computational Engineering, Faculty of Civil Engineering, Cracow University of Technology, Warszawska 24, 31-155 Cracow, PolandChair for Computational Engineering, Faculty of Civil Engineering, Cracow University of Technology, Warszawska 24, 31-155 Cracow, PolandChair for Computational Engineering, Faculty of Civil Engineering, Cracow University of Technology, Warszawska 24, 31-155 Cracow, PolandThe purpose of this paper is to develop a constitutive description and to numerically simulate a propagating instability phenomenon called the Portevin–Le Chatelier (PLC) effect, which is observed for metallic materials. It manifests itself by moving plastic shear bands in the sample and serrations in the stress–strain diagram. In this paper, the PLC is modeled by geometrically non-linear thermo-visco-plasticity with the hardening function of the Estrin–McCormick type to reproduce a serrated response. To regularize softening, which in this model comes from thermal, geometrical and strain-rate effects, the viscosity and heat conductivity are incorporated. Plasticity description can additionally include degradation of the yield strength, and then the model is enhanced by higher-order gradients. Simulations are performed using AceGen/FEM. Two tensioned specimens are tested: a rod and a dog-bone sample. The first specimen is used for general verification. The results obtained for the second specimen are compared with the experimental results. Studies for different values of model parameters are performed. The results of the simulations are in good agreement with the experimental outcome and the sensitivity to model parameters is in line with the expectations for the pre-peak regime. In the presented tests, the gradient enhancement does not significantly influence the results.https://www.mdpi.com/1996-1944/15/12/4327PLC effectvisco-plasticitythermo-mechanical couplinggradient enhancementFEM |
| spellingShingle | Marzena Mucha Balbina Wcisło Jerzy Pamin Simulation of PLC Effect Using Regularized Large-Strain Elasto-Plasticity Materials PLC effect visco-plasticity thermo-mechanical coupling gradient enhancement FEM |
| title | Simulation of PLC Effect Using Regularized Large-Strain Elasto-Plasticity |
| title_full | Simulation of PLC Effect Using Regularized Large-Strain Elasto-Plasticity |
| title_fullStr | Simulation of PLC Effect Using Regularized Large-Strain Elasto-Plasticity |
| title_full_unstemmed | Simulation of PLC Effect Using Regularized Large-Strain Elasto-Plasticity |
| title_short | Simulation of PLC Effect Using Regularized Large-Strain Elasto-Plasticity |
| title_sort | simulation of plc effect using regularized large strain elasto plasticity |
| topic | PLC effect visco-plasticity thermo-mechanical coupling gradient enhancement FEM |
| url | https://www.mdpi.com/1996-1944/15/12/4327 |
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