PARAMETRIC IDENTIFICATION OF CRYSTALS HAVING A CUBIC LATTICE WITH NEGATIVE POISSON'S RATIOS
V. I. Erofeev1,2, I. S. Pavlov1,2
1Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, Nizhny Novgorod, 603024 Russia
erf04@sinn.ru
2Research Institute for Mechanics at the Lobachevsky State University of Nizhni Novgorod, Nizhny Novgorod, 603950 Russia
ispavl@mts-nn.ru
Keywords: кристалл c кубической решеткой, отрицательные коэффициенты Пуассона, параметры микроструктуры, параметрическая идентификация, crystal with a cubic lattice, negative Poisson's ratios, microstructure parameters, parametric identification
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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