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IssuesArchive of Issues2025-4pp.2385-2397

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A.I. Epishin and D.S. Lisovenko, "Analysis of Elastic Properties of Cubic Crystals of Simple Substances Using the Diagram A−ν0," Mech. Solids. 60 (4), 2385-2397 (2025)
Year 2025 Volume 60 Number 4 Pages 2385-2397
DOI 10.1134/S0025654425602551
Title Analysis of Elastic Properties of Cubic Crystals of Simple Substances Using the Diagram A−ν0
Author(s) A.I. Epishin (Merzhanov Institute of Structural Macrokinetics and Materials Science of the Russian Academy of Sciences, Chernogolovka, 142432 Russia, a.epishin2021@gmail.com)
D.S. Lisovenko (Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow, 119526 Russia, lisovenk@ipmnet.ru)
Abstract The graphical diagram A−ν0 proposed earlier by the authors was used to analyze the elastic properties of cubic crystals of simple substances. The elastic properties of crystals both at room temperature and their temperature dependences are considered. As the temperature increases, a general trend is observed for most crystals of simple substances: the points (A, ν0) characterizing the elastic properties of crystals shift in the direction towards the limiting angle of the diagram (A=1.5, ν0=0.5), i.e., in the towards of the region of special extrema being typical for metastable crystals, for example, such as crystals with shape-memory effect. The use of the A−ν0 diagram made it possible to graphically represent and explain the relationships between the basic values of the elastic moduli of cubic crystals: Young’s modulus E0, shear modulus G0, and volumetric modulus of elasticity B.
Keywords cubic crystals, elasticity, anisotropy of elastic properties, Poisson’s ratio, auxetics, elastic moduli
Received 20 April 2025Revised 15 May 2025Accepted 19 May 2025
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