Young's and shear moduli and Poisson's ratio for elastic media of high and middle symmetry

Details Young's and shear moduli and Poisson's ratio for elastic media of high and middle symmetry Young's and shear moduli and Poisson's ratio for elastic media of high and middle symmetry

2006-07-06

arxiv.org/abs/cond-mat/0607152v1

physica status solidi, August 2006

Physics

Condensed Matter

Materials Science

14 pages, no figures, 2nd Workshop on Auxetics and Related Systems Bedlewo (near Poznan), August 19-23, 2005

Scientific paper

Using bases of fourth rank tensorial bases of complete Voigt's symmetry elaborated by Walpole we obtained expressions for inverse of Young's modulus E, inverse of shear modulus G and Poisson's ratio, which depend on components of the stiffness tensor S, on direction cosines of vectors n of uniaxial load and the vector m of lateral strain with crystalline symmetry axes. Crystalline media of high and medium symmetries are considered. Such representation yields decomposition of the above elastic characteristics to isotropic and anisotropic parts. Expressions for Poisson's coefficient are well suited for studying the property of auxeticity.

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