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arXiv · 1612.08281

Harmonic factorization and reconstruction of the elasticity tensor

Marc Olive·Boris Kolev·Boris Desmorat·Rodrigue Desmorat
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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.

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Marc Olive, Boris Kolev, Boris Desmorat, Rodrigue Desmorat. 2017-09-26. Harmonic factorization and reconstruction of the elasticity tensor. https://doi.org/10.1007/s10659-017-9657-y

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