An elliptic approximation for phase separation in a fractured material
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_ | 1866913460597555200 |
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| author | Stinson, Kerrek Wittig, Solveig |
| author_facet | Stinson, Kerrek Wittig, Solveig |
| contents | We consider a free-boundary and free-discontinuity energy connecting phase separation and fracture in an elastic material. The energy excludes the contribution of phase boundaries in the cracked region, providing a heuristic approximation of the interfacial energy in the current material configuration. Our primary result shows that the sharp energy may be recovered via Gamma-convergence from a modified Cahn-Hilliard energy coupled with an Ambrosio-Tortorelli-type approximation of the (linear) elastic and fracture energy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_03776 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | An elliptic approximation for phase separation in a fractured material Stinson, Kerrek Wittig, Solveig Analysis of PDEs We consider a free-boundary and free-discontinuity energy connecting phase separation and fracture in an elastic material. The energy excludes the contribution of phase boundaries in the cracked region, providing a heuristic approximation of the interfacial energy in the current material configuration. Our primary result shows that the sharp energy may be recovered via Gamma-convergence from a modified Cahn-Hilliard energy coupled with an Ambrosio-Tortorelli-type approximation of the (linear) elastic and fracture energy. |
| title | An elliptic approximation for phase separation in a fractured material |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2408.03776 |