Necessary and Sufficient Elastic Stability Conditions in Various Crystal Systems
Materials Science
2014-12-08 v3 Statistical Mechanics
Abstract
While the Born elastic stability criteria are well-known for cubic crystals, there is some confusion in the literature about the form it should take for lower symmetry crystal classes. We present here closed form necessary and sufficient conditions for elastic stability in all crystal classes, as a concise and pedagogical reference to stability criteria in non-cubic materials.
Keywords
Cite
@article{arxiv.1410.0065,
title = {Necessary and Sufficient Elastic Stability Conditions in Various Crystal Systems},
author = {Félix Mouhat and François-Xavier Coudert},
journal= {arXiv preprint arXiv:1410.0065},
year = {2014}
}