Harmonic factorization and reconstruction of the elasticity tensor

Abstract

In this paper, we propose a factorization of a fourth-order harmonic tensor into second-order tensors. We obtain moreover explicit equivariant reconstruction formulas, using second-order covariants, for transverse isotropic and orthotropic harmonic fourth-order tensors, and for trigonal and tetragonal harmonic fourth-order tensors up to a cubic fourth order covariant remainder.

Corrected a few typos

References in corpus (1)

• A minimal integrity basis for the elasticity tensor

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