On a method of solving a two-dimensional integral equation of the first kind with a power-law kernel and its application to contact problems

DOI10.1016/0021-8928(84)90069-8zbMath0585.73189OpenAlexW2079422678MaRDI QIDQ1070904

A. N. Borodachev

Publication date: 1984

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(84)90069-8

zbMATH Keywords

pressureexact solutionsintegral equation of the first kindelliptical areaarbitrary polynomial formdifferent asymptotic expansionsHobson's theoreminhomogeneous elastic half-spacepolynomial right sidepower-law (polar) kernelstiff elliptical cylinder

Mathematics Subject Classification ID

Contact in solid mechanics (74M15) Theoretical approximation of solutions to integral equations (45L05) Theories of friction (tribology) (74A55)

Related Items (2)

A form of the particular solution of thermoelasticity equations for transversely isotropic bodies ⋮ On a class of exact solutions of a non-axisymmetric contact problem for an inhomogeneous elastic half-space

Cites Work

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• An integral equation encountered in the problem of a rigid foundation bearing on nonhomogeneous soil
• Determination of the coefficients of the thermal stress intensity for a plane elliptical fracture in an unbounded elastic body
• On the theory of elasticity of a nonhomoqeneous medium
• On certain solutions of an integral equation of the theory of a linearly deformable foundation
• A method for the construction op the approximate solution of the mixed axisymmetric problem in the theory of elasticity

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