Title of article :
Deconstructing plane anisotropic elasticity: Part II: Stroh’s formalism sans frill
Author/Authors :
Wan-Lee Yin ، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2000
Pages :
20
From page :
5277
To page :
5296
Abstract :
igensolutions for all types of anisotropic elastic materials are obtained in terms of the eigenvalues and the anisotropic elastic sti€ness. The generalized eigenvectors and eigensolutions in the degenerate and extra-degenerate cases are obtained by the derivative rule. A complete set of unnormlized eigenvectors, now given in terms of the elastic moduli, de®ne the Barnett±Lothe tensors by the same expressions irrespective of material degeneracy. Explicit expressions of the Barnett±Lothe tensors are obtained in various forms depending on the multiplicity of eigenvalues. These expressions complement the alternative expressions of Part I in terms of the elastic compliances. A new family of extra-degenerate materials is found, suggesting the superabundance of such materials. A concise proof of the equivalence of the eigensystems of the compliance-based and elasticity-based formalisms is given. Eigenrelations applicable to all cases of material degeneracy are presented in both three-dimensional and six-dimensional matrix formalisms
Keywords :
Lekhnitskiiיs formalism , Strohיs formalism , Anisotropic elasticity , Degenerate materials , Barnett±Lothe tensors
Journal title :
International Journal of Solids and Structures
Serial Year :
2000
Journal title :
International Journal of Solids and Structures
Record number :
447077
Link To Document :
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