Necessary and Sufficient Elastic Stability Conditions in Various Crystal Systems

2014/10/31 by Félix Mouhat, François-Xavier Coudert · 5 citations
Physics and Astronomy · #cond-mat.mtrl-sci #cond-mat.stat-mech

paper · pdf · doi:10.1103/physrevb.90.224104

published as Phys. Rev. B 90, 224104 (2014)

arxiv created 2014/12/05 · arxiv updated 2014/12/08

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.

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