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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.19712 |
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| _version_ | 1866917736227012608 |
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| author | Zhang, Meijuan Vadillo, Guadalupe Montans, Francisco Javier |
| author_facet | Zhang, Meijuan Vadillo, Guadalupe Montans, Francisco Javier |
| contents | The proposed work is a formulation for large-strain non-isochoric plastic deformation, using the GTN yield function as the void growth rule as an example. This formulation is fully hyperelastic and uses the Kroner-Lee multiplicative decomposition. It adopts the concept of elastic correctors, and thus, does not have any constraints on the amount of elastic strain or the form of elasto-plastic behaviours. In addition, the volumetric part of the plastic deformation is described with the corrector of the volumetric part of the elastic logarithmic strain. It offers a new and sound kinematic approach to deal with non-isochoric plasticity. We also use the GTN function as an example to demonstrate the use of the kinematic relation as well as the implementation of the implicit algorithm. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_19712 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A multiplicative finite strain formulation for void growth models using elastic correctors Zhang, Meijuan Vadillo, Guadalupe Montans, Francisco Javier Materials Science The proposed work is a formulation for large-strain non-isochoric plastic deformation, using the GTN yield function as the void growth rule as an example. This formulation is fully hyperelastic and uses the Kroner-Lee multiplicative decomposition. It adopts the concept of elastic correctors, and thus, does not have any constraints on the amount of elastic strain or the form of elasto-plastic behaviours. In addition, the volumetric part of the plastic deformation is described with the corrector of the volumetric part of the elastic logarithmic strain. It offers a new and sound kinematic approach to deal with non-isochoric plasticity. We also use the GTN function as an example to demonstrate the use of the kinematic relation as well as the implementation of the implicit algorithm. |
| title | A multiplicative finite strain formulation for void growth models using elastic correctors |
| topic | Materials Science |
| url | https://arxiv.org/abs/2407.19712 |