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IssuesArchive of Issues2020-4pp.461-474

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V.A. Gorodtsov and D.S. Lisovenko, "Auxetics among Materials with Cubic Anisotropy," Mech. Solids. 55 (4), 461-474 (2020)
Year 2020 Volume 55 Number 4 Pages 461-474
DOI 10.3103/S0025654420040044
Title Auxetics among Materials with Cubic Anisotropy
Author(s) V.A. Gorodtsov (Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow, 119526 Russia)
D.S. Lisovenko (Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow, 119526 Russia, lisovenk@ipmnet.ru)
Abstract The article provides a brief overview of studies on crystalline materials with negative Poisson's ratio (crystalline auxetics) with cubic anisotropy. It has been demonstrated that 1/4 part of all cubic crystals has auxetic properties. Even more auxetics are found among chiral nano/microtubes with cubic cylindrical anisotropy. It has been established that chiral nano/microtubes made of cubic crystals exhibit linear Poynting’s effect under torsion, in contrast to the known nonlinear effect for isotropic materials. In the case of longitudinal tension of two-layered composites, it is shown that Voigt’s rule of mixtures is violated in the presence of a layer of auxetic materials.
Keywords auxetics, Poisson’s ratio, crystals, nanotubes, plates, composites
Received 12 February 2020Revised 28 February 2020Accepted 29 February 2020
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