Review on spectral decomposition of Hooke’s tensor for all symmetry groups of linear elastic material

Downloads

Authors

  • Katarzyna KOWALCZYK-GAJEWSKA Institute of Fundamental Technological Research Polish Academy of Sciences, Poland
  • Janina OSTROWSKA-MACIEJEWSKA Institute of Fundamental Technological Research Polish Academy of Sciences, Poland

Abstract

The spectral decomposition of elasticity tensor for all symmetry groups of a linearly elastic material is reviewed. In the paper it has been derived in non-standard way by imposing the symmetry conditions upon the orthogonal projectors instead of the stiffness tensor itself. The numbers of independent Kelvin moduli and stiffness distributors are provided. The corresponding representation of the elasticity tensor is specified.

Keywords:

linear elasticity, anisotropy, symmetry group, spectral decomposition

Most read articles by the same author(s)