Harmonic Factorization and Reconstruction of the Elasticity Tensor |
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| Authors: | M Olive B Kolev B Desmorat R Desmorat |
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| Institution: | 1.LMT (ENS Cachan, CNRS, UMR 8535, Université Paris Saclay),Cachan Cedex,France;2.CNRS, Centrale Marseille, I2M, UMR 7373,Aix Marseille Université,Marseille,France;3.UMPC Univ. Paris 06, CNRS, UMR 7190, Institut d’Alembert,Sorbonne Université,Paris Cedex 05,France;4.Univ. Paris Sud 11,Orsay,France |
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| Abstract: | In this paper, we study anisotropic Hooke’s tensor: we propose a factorization of its fourth-order harmonic part into second-order tensors. We obtain moreover explicit equivariant reconstruction formulas, using second-order covariants, for transverse isotropic and orthotropic fourth-order harmonic tensors, and for trigonal and tetragonal fourth-order harmonic tensors up to a cubic fourth order covariant remainder. |
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