Quasistatic growth of cavities and cracks in the plane
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909697686110208 |
|---|---|
| author | Bresciani, Marco Friedrich, Manuel |
| author_facet | Bresciani, Marco Friedrich, Manuel |
| contents | We propose a model for quasistatic growth of cavities and cracks in two-dimensional nonlinear elasticity. Cavities and cracks are modeled as discrete and compact subsets of a planar domain, respectively, and deformations are defined only outside of cracks. The model accounts for the irreversibility of both processes of cavitation and fracture and it allows for the coalescence of cavities into cracks. Our main result shows the existence of quasistatic evolutions in the case of a finite number of cavities, under an a priori bound on the number of connected components of the cracks. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_11293 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quasistatic growth of cavities and cracks in the plane Bresciani, Marco Friedrich, Manuel Analysis of PDEs We propose a model for quasistatic growth of cavities and cracks in two-dimensional nonlinear elasticity. Cavities and cracks are modeled as discrete and compact subsets of a planar domain, respectively, and deformations are defined only outside of cracks. The model accounts for the irreversibility of both processes of cavitation and fracture and it allows for the coalescence of cavities into cracks. Our main result shows the existence of quasistatic evolutions in the case of a finite number of cavities, under an a priori bound on the number of connected components of the cracks. |
| title | Quasistatic growth of cavities and cracks in the plane |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2406.11293 |