Diagonalization of a three-dimensional system of equations in terms of displacements of the linear theory of elasticity of transversely isotropic media

DOI10.1134/S0021894413060126zbMath1284.74011MaRDI QIDQ2442184

N. I. Ostrosablin

Publication date: 1 April 2014

Published in: Journal of Applied Mechanics and Technical Physics (Search for Journal in Brave)

zbMATH Keywords

general solutionrecursion operatorstransversely isotropic mediumelasticity modulidiagonalization of elliptic systemlongitudinal normals

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Linear waves in solid mechanics (74J05) Solutions to PDEs in closed form (35C05)

Related Items (4)

Reflection of plane waves from a rigid wall and a free surface in a transverse isotropic medium ⋮ Inverse problem of plane plasticity theory ⋮ Presentation of the general solution of three-dimensional dynamic equations of a transversely isotropic thermoelastic medium ⋮ Transversely isotropic tensor closest in Euclidean norm to a given anisotropic elastic modulus tensor

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