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IssuesArchive of Issues2010-4pp.529-545

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R.V. Goldstein, V.A. Gorodtsov, and D.S. Lisovenko, "Auxetic Mechanics of Crystalline Materials," Mech. Solids. 45 (4), 529-545 (2010)
Year 2010 Volume 45 Number 4 Pages 529-545
DOI 10.3103/S0025654410040047
Title Auxetic Mechanics of Crystalline Materials
Author(s) R.V. Goldstein (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526 Russia, goldst@ipmnet.ru)
V.A. Gorodtsov (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526 Russia, gorod@ipmnet.ru)
D.S. Lisovenko (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526 Russia, lisovenk@ipmnet.ru)
Abstract In the present paper, we analyze uniaxial deformation of crystals of different systems with negative Poisson's ratios, known as auxetics. The behavior of auxetic crystals is studied on the basis of extensive knowledge on the experimental values of elastic constants of different crystals, gathered in the well-known Landolt-Börnstein tables. The competition between the anisotropy of crystal structures and the orientation of deformable samples results in the dependence of the elastic characteristics of deformation, such as Young's modulus and Poisson's ratio, on the orientation angles. In the special case of a single angle, a large number of auxetics were found among crystals of cubic, hexagonal, rhombohedral, tetragonal, and orthorhombic systems and the character of variations in their response due to changes in orientation was determined.
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Received 17 March 2010
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