• 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