Dynamic crack growth in viscoelastic materials with memory
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909865732997120 |
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| author | Cianci, Federico |
| author_facet | Cianci, Federico |
| contents | In this paper we introduce a model of dynamic crack growth in viscoelastic material, where the damping term depends on the history of the deformation. The model is based on a dynamic energy dissipation balance and on a maximal dissipation condition. Our main result is an existence theorem in dimension two under some a priori regularity constraints on the cracks. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_20599 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dynamic crack growth in viscoelastic materials with memory Cianci, Federico Analysis of PDEs In this paper we introduce a model of dynamic crack growth in viscoelastic material, where the damping term depends on the history of the deformation. The model is based on a dynamic energy dissipation balance and on a maximal dissipation condition. Our main result is an existence theorem in dimension two under some a priori regularity constraints on the cracks. |
| title | Dynamic crack growth in viscoelastic materials with memory |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2510.20599 |