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Necessary and sufficient elastic stability conditions in various crystal systems

2014; American Physical Society; Volume: 90; Issue: 22 Linguagem: Inglês

10.1103/physrevb.90.224104

1550-235X

Félix Mouhat, François‐Xavier Coudert,

Intermetallics and Advanced Alloy Properties

While the Born elastic stability criteria are well known for cubic crystals, there is some confusion in the literature about the form they should take for lower-symmetry crystal classes. Here we present closed form necessary and sufficient conditions for elastic stability in all crystal classes, as a concise and pedagogical reference to stability criteria in noncubic materials.