Data-driven micromorphic mechanics for materials with strain localization
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866912257279000576 |
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| author | Ulloa, Jacinto Stainier, Laurent Ortiz, Michael Andrade, José E. |
| author_facet | Ulloa, Jacinto Stainier, Laurent Ortiz, Michael Andrade, José E. |
| contents | This paper explores the role of generalized continuum mechanics, and the feasibility of model-free data-driven computing approaches thereof, in solids undergoing failure by strain localization. Specifically, we set forth a methodology for capturing material instabilities using data-driven mechanics without prior information regarding the failure mode. We show numerically that, in problems involving strain localization, the standard data-driven framework for Cauchy/Boltzmann continua fails to capture the length scale of the material, as expected. We address this shortcoming by formulating a generalized data-driven framework for micromorphic continua that effectively captures both stiffness and length-scale information, as encoded in the material data, in a model-free manner. These properties are exhibited systematically in a one-dimensional softening bar problem and further verified through selected plane-strain problems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_15966 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Data-driven micromorphic mechanics for materials with strain localization Ulloa, Jacinto Stainier, Laurent Ortiz, Michael Andrade, José E. Numerical Analysis This paper explores the role of generalized continuum mechanics, and the feasibility of model-free data-driven computing approaches thereof, in solids undergoing failure by strain localization. Specifically, we set forth a methodology for capturing material instabilities using data-driven mechanics without prior information regarding the failure mode. We show numerically that, in problems involving strain localization, the standard data-driven framework for Cauchy/Boltzmann continua fails to capture the length scale of the material, as expected. We address this shortcoming by formulating a generalized data-driven framework for micromorphic continua that effectively captures both stiffness and length-scale information, as encoded in the material data, in a model-free manner. These properties are exhibited systematically in a one-dimensional softening bar problem and further verified through selected plane-strain problems. |
| title | Data-driven micromorphic mechanics for materials with strain localization |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2402.15966 |