Nucleation of fracture: The first-octant evidence against classical variational phase-field models
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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_ | 1866916489981853696 |
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| author | Kamarei, Farhad Dolbow, John E. Lopez-Pamies, Oscar |
| author_facet | Kamarei, Farhad Dolbow, John E. Lopez-Pamies, Oscar |
| contents | As a companion work to [1], this Note presents a series of simple formulae and explicit results that illustrate and highlight why classical variational phase-field models cannot possibly predict fracture nucleation in elastic brittle materials. The focus is on ``tension-dominated'' problems where all principal stresses are non-negative, that is, problems taking place entirely within the first octant in the space of principal stresses. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_01031 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Nucleation of fracture: The first-octant evidence against classical variational phase-field models Kamarei, Farhad Dolbow, John E. Lopez-Pamies, Oscar Materials Science As a companion work to [1], this Note presents a series of simple formulae and explicit results that illustrate and highlight why classical variational phase-field models cannot possibly predict fracture nucleation in elastic brittle materials. The focus is on ``tension-dominated'' problems where all principal stresses are non-negative, that is, problems taking place entirely within the first octant in the space of principal stresses. |
| title | Nucleation of fracture: The first-octant evidence against classical variational phase-field models |
| topic | Materials Science |
| url | https://arxiv.org/abs/2411.01031 |