Relaxation theorems in nonlinear elasticity
Classical Analysis and ODEs
2007-05-23 v3
Abstract
Relaxation theorems which apply to one, two and three-dimensional nonlinear elasticity are proved. We take into account the fact an infinite amount of energy is required to compress a finite line, surface or volume into zero line, surface or volume. However, we do not prevent orientation reversal.
Cite
@article{arxiv.math/0508559,
title = {Relaxation theorems in nonlinear elasticity},
author = {Omar Anza Hafsa and Jean-Philippe Mandallena},
journal= {arXiv preprint arXiv:math/0508559},
year = {2007}
}