New asymptotically sharp Korn and Korn-like inequalities in thin domains
Analysis of PDEs
2013-12-13 v3
Abstract
It is well known that Korn inequality plays a central role in the theory of linear elasticity. In the present work we prove new asymptotically sharp Korn and Korn-like inequalities in thin curved domains with a non-constant thickness. This new results will be useful when studying the buckling of compressed shells, in particular when calculating the critical buckling load.
Keywords
Cite
@article{arxiv.1307.7299,
title = {New asymptotically sharp Korn and Korn-like inequalities in thin domains},
author = {Davit Harutyunyan},
journal= {arXiv preprint arXiv:1307.7299},
year = {2013}
}
Comments
16 pages