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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.
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https://hal.archives-ouvertes.fr/hal-01421763
Contributor : Boris Kolev <>
Submitted on : Thursday, December 22, 2016 - 6:09:36 PM
Last modification on : Thursday, July 2, 2020 - 5:46:03 PM
Document(s) archivé(s) le : Thursday, March 23, 2017 - 12:13:30 PM

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Marc Olive, Boris Kolev, Boris Desmorat, Rodrigue Desmorat. Harmonic factorization and reconstruction of the elasticity tensor. Journal of Elasticity, Springer Verlag, 2018, 132 (1), pp.67-101. ⟨10.1007/s10659-017-9657-y⟩. ⟨hal-01421763⟩

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