On the orthogonal, Hermitian and positive definite properties of the matrices \(iB^{-1}\bar B\) and \(-iA^{-1}\overline A\) in anisotropic elasticity

DOI10.1007/BF00041146zbMath0778.73009MaRDI QIDQ1260610

Ting, T. C. T.

Publication date: 30 August 1993

Published in: Journal of Elasticity (Search for Journal in Brave)

zbMATH Keywords

diagonalizationdisplacement vectorthree-dimensional eigenvectorstwo-dimensional homogeneous anisotropic linear elastostatics

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Anisotropy in solid mechanics (74E10) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (3)

Generalized stroh formalism for anisotropic elasticity for general boundary conditions ⋮ Proof of the strong Eshelby conjecture for plane and anti-plane anisotropic inclusion problems ⋮ Dispersion equations for steady waves in an anisotropic elastic plate or a layered plate

Cites Work

• Green's functions of two-dimensional anisotropic plates containing an elliptic hole
• Dislocations and Cracks in Anisotropic Elasticity
• Singularities, interfaces and cracks in dissimilar anisotropic media
• Some identities and the structure of 𝑁ᵢ in the Stroh formalism of anisotropic elasticity
• Foundations of the Theory of Surface Waves in Anisotropic Elastic Materials
• IMAGE SINGULARITIES OF GREEN'S FUNCTIONS FOR ANISOTROPIC ELASTIC HALF-SPACES AND BIMATERIALS

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