Multiwell rigidity in nonlinear elasticity
Analysis of PDEs
2016-11-14 v1
Abstract
We derive a quantitative rigidity estimate for a multiwell problem in nonlinear elasticity. Precisely, we show that if a gradient field is L^1-close to a set of the form SO(n)U_1 \cup ... \cup SO(n)U_l, and an appropriate bound on the length of the interfaces holds, then the gradient field is actually close to only one of the wells SO(n)U_i. The estimate holds for any connected subdomain, and has the optimal scaling.
Keywords
Cite
@article{arxiv.0802.0955,
title = {Multiwell rigidity in nonlinear elasticity},
author = {Milena Chermisi and Sergio Conti},
journal= {arXiv preprint arXiv:0802.0955},
year = {2016}
}
Comments
23 pages, 3 figures