On a General Theory of Anisotropy of Matter. The Special Decomposition of the Compliance Tensor
Θεοχάρης Περικλής Σ.
Ακαδημία Αθηνών (1999)
A newly developed approach based on the spectral decomposition principle, which is usefull in crystallography , is applied for the first time in this paper. The compliance fourth-rank tensor of crystalline media belonging to the monoclinic system is, thus, spectrally decomposed, its eigenvalues are evaluated, together with the elementary idempotent fourth-rank tensors, which decompose uniquely the fourth-rank tensor space into orthogonal subspaces. Accordingly, energy orthogonal states of stress and strain are derived from the idempotent tensors, namely eigenstates which do...
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