On a General Theory of Anisotropy of Matter. The Special Decomposition of the Compliance Tensor

Application to Crystallography
Συγγραφέας : Θεοχάρης, Περικλής Σ. Σοκόλης, Δημήτριος Π.
Εκδότης : Ακαδημία Αθηνών
Έτος έκδοσης : 1999
ISBN : 978-960-7099-79-2
Σελίδες : 103
Τόμος : 57
Σχήμα : 29x21
Κατηγορίες : Φυσική
Σειρά : Πραγματείαι της Ακαδημίας Αθηνών

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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 not perform work along the deformations produced by the others. [...] (From the abstract)






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