2D and 3D cubic monocrystalline and polycrystalline materials: their stability and mechanical properties

Details 2D and 3D cubic monocrystalline and polycrystalline materials: their stability and mechanical properties 2D and 3D cubic monocrystalline and polycrystalline materials: their stability and mechanical properties

2009-09-22

arxiv.org/abs/0909.3938v1

Physics

Condensed Matter

Materials Science

9 pages, 3 figures, in proceedings of the Tenth International School on Theoretical Physics, Symmetry and Structural Propertie

Scientific paper

We consider 2- and 3-dimensional cubic monocrystalline and polycrystalline materials. Expressions for Young's and shear moduli and Poisson's ratio are expressed in terms of eigenvalues of the stiffness tensor. Such a form is well suited for studying properties of these mechanical characteristics on sides of the stability triangles. For crystalline high-symmetry directions lines of vanishing Poisson's ratio are found. These lines demarcate regions of the stability triangle into areas of various auxeticity properties. The simplest model of polycrystalline 2D and 3D cubic materials is considered. In polycrystalline phases the region of complete auxetics is larger than for monocrystalline materials.

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