Mechanical properties, strength physics and plasticity

Conditions of elastic mechanical stability and elastic properties of crystal structures with different symmetry

A. I. Gusev, S. I. Sadovnikov

Institute of Solid State Chemistry, Urals Branch of the Russian Academy of Sciences, Yekaterinburg, Russia

Abstract: A critical analysis of the conditions of elastic stability of crystal structures of different symmetry as restrictions imposed on their elastic constants $c_{ij}$ has been carried out. It is shown that the conditions of elastic stability of all crystals, except for cubic ones, are described by polynomials from the second to sixth powers of their elastic constants $c_{ij}$. Necessary and sufficient conditions for the elastic stability of crystals of different symmetry are presented explicitly.

Keywords: elastic stability, symmetry, elastic constants, stability conditions.

Received: 19.02.2022
Revised: 02.03.2022
Accepted: 03.03.2022

DOI: 10.21883/FTT.2022.06.52393.292

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