Harmonic factorization and reconstruction of the elasticity tensor
Mathematical Physics
2019-01-01 v2 math.MP
Classical Physics
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.
Cite
@article{arxiv.1612.08281,
title = {Harmonic factorization and reconstruction of the elasticity tensor},
author = {Marc Olive and Boris Kolev and Boris Desmorat and Rodrigue Desmorat},
journal= {arXiv preprint arXiv:1612.08281},
year = {2019}
}
Comments
Corrected a few typos