Uniqueness for Some Mixed Problems of Nonlinear Elastostatics
Analysis of PDEs
2025-04-15 v1 Mathematical Physics
math.MP
Abstract
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.
Cite
@article{arxiv.2504.09600,
title = {Uniqueness for Some Mixed Problems of Nonlinear Elastostatics},
author = {Phoebus Rosakis},
journal= {arXiv preprint arXiv:2504.09600},
year = {2025}
}
Comments
1 figure, 16 pages