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

摘要

Using bases of fourth rank tensorial bases of complete Voigt's symmetryelaborated 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 ofthe stiffness tensor S, on direction cosines of vectors n of uniaxial load andthe vector m of lateral strain with crystalline symmetry axes. Crystallinemedia of high and medium symmetries are considered. Such representation yieldsdecomposition of the above elastic characteristics to isotropic and anisotropicparts. Expressions for Poisson's coefficient are well suited for studying theproperty of auxeticity.