Irreducible representations for constitutive equations of anisotropic solids III: crystal and quasicrystal classes D2m+1h and D2md

Abstract

A simple unified procedure is applied to derive irreducible nonpolynomial representations for scalar-, vector-, skewsymmetric and symmetric second order tensor-valued anisotropic constitutive equations involving any finite number of vector variables and second order tensor variables. In this part, our concern is for the crystal classes and quasicrystal classes D_2m+1h and D_2md for all integers m ≥ 1.