Journal
JOURNAL OF APPLIED MECHANICS AND TECHNICAL PHYSICS
Volume 56, Issue 6, Pages 1015-1022Publisher
MAIK NAUKA/INTERPERIODICA/SPRINGER
DOI: 10.1134/S0021894415060115
Keywords
crystal with a cubic lattice; negative Poisson's ratios; microstructure parameters; parametric identification
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Funding
- Russian Science Foundation [14-19-01637]
- Russian Science Foundation [14-19-01637] Funding Source: Russian Science Foundation
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A two-dimensional model of an anisotropic crystalline material with cubic symmetry is considered. This model consists of a square lattice of round rigid particles, each possessing two translational and one rotational degree of freedom. Differential equations that describe propagation of elastic and rotational waves in such a medium are derived. A relationship between three groups of parameters is found: second-order elastic constants, acoustic wave velocities, and microstructure parameters. Values of the microstructure parameters of the considered anisotropic material at which its Poisson's ratios become negative are found.
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