The two-dimensional inverse problem of elasticity theory for inhomogeneous media in polar coordinates

DOI10.1016/0021-8928(85)90077-2zbMath0614.73009OpenAlexW1967207624MaRDI QIDQ1819970

V. P. Plevako

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0021-8928(85)90077-2

zbMATH Keywords

Poisson's equationchange in the shear modulusdistribution law for the elasticity parameterslaw of Poisson's ratio variationsecond-order partial differential equation with variable coefficients

Mathematics Subject Classification ID

Inhomogeneity in solid mechanics (74E05) Inverse problems for PDEs (35R30)

Related Items (3)

On a generalization of the Naghdi-Hsu transformation and its application to problems of elasticity theory ⋮ On a class of exact solutions of a non-axisymmetric contact problem for an inhomogeneous elastic half-space ⋮ A method of constructing weighting functions for a circular crack

Cites Work

• Application of the Betti reciprocity theorem in the elasticity theory of inhomogeneous bodies
• The elastic equilibrium of a transversely isotropic layer and a thick plate
• On the theory of elasticity of a nonhomoqeneous medium

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