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| Anisotropic Cosserat theoretical modeling of nano twin structure based on parametric Variational principle |
| Received:September 16, 2023 Revised:December 06, 2023 |
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| DOI：10.7511/jslx20230916005 |
| KeyWord:variational principle of parameter quantity anisotropy Cosserat sequential quadratic program-ming nano-twinned copper |
| Author | Institution |
| 朱宝 |
大连理工大学 材料科学与工程学院, 大连 |
| 孙豪 |
大连理工大学 材料科学与工程学院, 大连 |
| 刘玥 |
大连理工大学 材料科学与工程学院, 大连 |
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| Abstract: |
| Nanotwin structured metals have not only been experimentally proven to have excellent strength,but also good ductility,which is an important way to improve the inverse relationship between metal strength and ductility,demonstrating enormous engineering application value.In this paper,based on the parametric variational principle,a parametric quadratic programming algorithm for three-dimensional anisotropic Cosserat elasto-plastic analysis is developed and applied to the numerical modeling and simulation of nano-twinned copper.An anisotropic Cosserat continuum model for nano-twinned copper is established by introducing a special orientation relationship between the twin and the matrix.Considering the anisotropic effect caused by different crystal orientations and the strain gradient effect caused by uneven deformation between the twin and the matrix,the model results obtained are in good agreement with the stress-strain curve of nano-twinned copper obtained from different experimental studies.Based on this model,the influence of average twin thickness on the mechanical properties such as yield strength and Young’s modulus of nano-twinned copper is systematically studied.The results indicate that the anisotropic effect mainly affects the Young’s modulus and yield strength,while the strain gradient effect affects the yield strength and strain-hardening rate. |
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