Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
 Founded
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IssuesArchive of Issues2023-1pp.140-152

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A.I. Demin, M.A. Volkov, V.A. Gorodtsov, and D.S. Lisovenko, "Auxetics among Two-Layered Composites Made of Cubic Crystals. Analytical and Numerical Analysis," Mech. Solids. 58 (1), 140-152 (2023)
Year 2023 Volume 58 Number 1 Pages 140-152
DOI 10.3103/S0025654422601379
Title Auxetics among Two-Layered Composites Made of Cubic Crystals. Analytical and Numerical Analysis
Author(s) A.I. Demin (Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526 Russia)
M.A. Volkov (Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526 Russia, volkovmikhl@ipmnet.ru)
V.A. Gorodtsov (Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526 Russia)
D.S. Lisovenko (Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526 Russia, lisovenk@ipmnet.ru)
Abstract The results of calculations of the effective Young's modulus of longitudinally stretched twolayered plates made of identically oriented cubic crystals are presented on the basis of analytical analysis and the numerical finite element method. Analytical dependences of effective Young's modulus on Young's moduli and Poisson's ratios of crystals in layers are presented. Combinations of pairs of crystals with a significant deviation of the effective characteristics from ones found by the rule of mixtures are determined. The dependences of the effective Young's moduli on extreme values of the Young's moduli and Poisson's ratios of crystals in layers are established. They are presented graphically, and in some cases are reflected in the form of a table.
Keywords cubic crystals, auxetics, two-layered plates, Young's modulus, Poisson's ratio
Received 02 October 2022Revised 08 October 2022Accepted 10 October 2022
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