Uniqueness for Some Mixed Problems of Nonlinear Elastostatics
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910910678827008 |
|---|---|
| author | Rosakis, Phoebus |
| author_facet | Rosakis, Phoebus |
| contents | We show that certain mixed displacement/traction problems (including live pressure tractions) of nonlinear elastostatics that are solved by a homogeneous deformation, admit no other classical equilibrium solution under suitable constitutive inequalities and domain boundary restrictions. This extends a well known theorem of Knops and Stuart on the pure displacement problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_09600 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Uniqueness for Some Mixed Problems of Nonlinear Elastostatics Rosakis, Phoebus Analysis of PDEs Mathematical Physics We show that certain mixed displacement/traction problems (including live pressure tractions) of nonlinear elastostatics that are solved by a homogeneous deformation, admit no other classical equilibrium solution under suitable constitutive inequalities and domain boundary restrictions. This extends a well known theorem of Knops and Stuart on the pure displacement problem. |
| title | Uniqueness for Some Mixed Problems of Nonlinear Elastostatics |
| topic | Analysis of PDEs Mathematical Physics |
| url | https://arxiv.org/abs/2504.09600 |