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THE COMPLETENESS AND A NEW DERIVATION OF THE STROH FORMALISM OF ANISOTROPIC LINEAR ELASTICITY

机译:各向异性线性弹性的Stroh形式的完备性和新推导

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摘要

In this paper we present a new,simpler and unified derivation of the Stroh formalism of anisotropic linear elasticity,for both nondegenerate and degenerate cases.It is based on the potential representation and Jordan canonical representation theorems.The completeness of the Stroh formalism is proved in the derivation process itself.This new approach is also extended to piezoelastic problems.Besides,we show that the eigenvalues of the fundamental elastic matrix in planar anisotropic elasticity are always distinct,except for the case of isotropy.
机译:In this paper we present a new,simpler and unified derivation of the Stroh formalism of anisotropic linear elasticity,for both nondegenerate and degenerate cases.It is based on the potential representation and Jordan canonical representation theorems.The completeness of the Stroh formalism is proved in the derivation process itself.This new approach is also extended to piezoelastic problems.Besides,we show that the eigenvalues of the fundamental elastic matrix in planar anisotropic elasticity are always distinct,except for the case of isotropy.

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