This article is cited in 16 papers

Parametric identification of crystals having a cubic lattice with negative Poisson's ratios

V. I. Erofeev^ab, I. S. Pavlov<sup>ab

a</sup> Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, Nizhny Novgorod, 603024, Russia
^b Research Institute for Mechanics at the Lobachevsky State University of Nizhni Novgorod, Nizhny Novgorod, 603950, Russia

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.

Keywords: crystal with a cubic lattice, negative Poisson's ratios, microstructure parameters, parametric identification.

UDC: 539.2

Received: 08.06.2015

DOI: 10.15372/PMTF20150611

 English version: Journal of Applied Mechanics and Technical Physics, 2015, 56:6, 1015–1022

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