Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2512.12261 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866918248193196032 |
|---|---|
| author | Riva, Filippo |
| author_facet | Riva, Filippo |
| contents | The approximation of brittle laws via steeper and steeper cohesive profiles is validated within the mechanical setting of debonding models, which describe the detachment process of a peeled elastic adhesive membrane. In a quasistatic framework, energetic solutions to a suitably rescaled cohesive debonding problem, formulated in terms of displacements, are proved to converge to a limit evolution of shapes solving its brittle counterpart. The proposed approach relies on an equivalent and recently introduced free-boundary reformulation of this latter model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_12261 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | From cohesive to brittle debonding: the quasistatic framework Riva, Filippo Analysis of PDEs The approximation of brittle laws via steeper and steeper cohesive profiles is validated within the mechanical setting of debonding models, which describe the detachment process of a peeled elastic adhesive membrane. In a quasistatic framework, energetic solutions to a suitably rescaled cohesive debonding problem, formulated in terms of displacements, are proved to converge to a limit evolution of shapes solving its brittle counterpart. The proposed approach relies on an equivalent and recently introduced free-boundary reformulation of this latter model. |
| title | From cohesive to brittle debonding: the quasistatic framework |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2512.12261 |