Quasistatic nonassociative plasticity at finite strains
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866913824813088768 |
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| author | Stefanelli, Ulisse Vikelis, Andreas |
| author_facet | Stefanelli, Ulisse Vikelis, Andreas |
| contents | We investigate finite-strain elastoplastic evolution in the nonassociative setting. The constitutive material model is formulated in variational terms and coupled with the quasistatic equilibrium system. We introduce measure-valued energetic solutions and prove their existence via a time discretization approach. The existence theory hinges on a suitable regularization of the dissipation term via a space-time mollification. Eventually, we discuss the possibility of solving the problem in the setting of functions, instead of measures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_14316 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quasistatic nonassociative plasticity at finite strains Stefanelli, Ulisse Vikelis, Andreas Analysis of PDEs We investigate finite-strain elastoplastic evolution in the nonassociative setting. The constitutive material model is formulated in variational terms and coupled with the quasistatic equilibrium system. We introduce measure-valued energetic solutions and prove their existence via a time discretization approach. The existence theory hinges on a suitable regularization of the dissipation term via a space-time mollification. Eventually, we discuss the possibility of solving the problem in the setting of functions, instead of measures. |
| title | Quasistatic nonassociative plasticity at finite strains |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2411.14316 |