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 stiness. 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
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