Asymptotic behavior of constrained local minimizers in finite elasticity
Analysis of PDEs
2022-01-26 v2 Mathematical Physics
math.MP
Optimization and Control
Abstract
We provide an approximation result for the pure traction problem of linearized elasticity in terms of local minimizers of finite elasticity, under the constraint of vanishing average curl for admissible deformation maps. When suitable rotations are included in the constraint, the limit is shown to be the linear elastic equilibrium associated to rotated loads.
Keywords
Cite
@article{arxiv.2110.04333,
title = {Asymptotic behavior of constrained local minimizers in finite elasticity},
author = {Edoardo Mainini and Roberto Ognibene and Danilo Percivale},
journal= {arXiv preprint arXiv:2110.04333},
year = {2022}
}