Abstract
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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Original Russian Text © V.I. Erofeev, I.S. Pavlov.
Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 56, No. 6, pp. 94–101, November–December, 2015.
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Erofeev, V.I., Pavlov, I.S. Parametric identification of crystals having a cubic lattice with negative Poisson’s ratios. J Appl Mech Tech Phy 56, 1015–1022 (2015). https://doi.org/10.1134/S0021894415060115
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DOI: https://doi.org/10.1134/S0021894415060115