Harmonic factorization and reconstruction of the elasticity tensor
  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. 
Marc Olive (1), Boris Kolev (2), Boris Desmorat (3), Rodrigue Desmorat   (1) ((1) LMT, (2) I2M, (3) IJLRA)
math-ph math.MP physics.class-ph