Spectral decomposition of anisotropic elasticity

摘要: A newly developed approach, based on the spectral decomposition principle, which is especially useful in crystallography, applied this paper. The compliance fourth-rank tensor of crystalline media belonging to monoclinic system spectrally decomposed, its eigenvalues are evaluated, together elementary idempotent tensors, expand uniquely space into orthogonal subspaces. Next, analysed for anisotropic orthorhombic, tetragonal, hexagonal and cubic crystal systems, by regarding these decompositions as particular cases monolinic media. Consequently, characteristic values tensors derived, well stress strain second-rank eigentensors all above mentioned symmetries.