Young's and shear moduli and Poisson's ratio for elastic media of high and middle symmetry
arXiv:cond-mat/0607152 · doi:10.1002/pssb.200572716
Abstract
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.
arXiv comment14 pages, no figures, 2nd Workshop on Auxetics and Related Systems Bedlewo (near Poznan), August 19-23, 2005