Unifying the criteria of elastic stability of solids

• Published in: Journal of physics. Condensed matter Vol. 24; no. 24; pp. 245402 - 5
• Main Authors: Wang, Hao, Li, Mo
• Format: Journal Article
• Language: English
• Published: Bristol IOP Publishing 20.06.2012; Institute of Physics
• Subjects: Condensed matter; Condensed matter: structure, mechanical and thermal properties; Convexity; Criteria; Crystals; Elastic constants; Elasticity, elastic constants; Exact sciences and technology; Free energy; Mathematical analysis; Mechanical and acoustical properties of condensed matter; Mechanical properties of solids; Physics; Stability; Thermal properties of condensed matter; Thermal properties of crystalline solids; Thermodynamic properties; Elastic constants; Fluctuations; Deformation; Bifurcation; Stress effects; Thermodynamic properties; Free energy; Implementation; Internal energy

The elastic stability criterion formulated by Born is based on the convexity requirement of the equilibrium free energy F of a stress-free crystal under small strain fluctuation, that demands the elastic constant tensor C to be positive definite, |C| > 0. For a crystal subject to an external stre...