On an analytic approach to three-dimensional contact problems of elasticity theory

DOI10.1016/0021-8928(82)90116-2zbMath0517.73119OpenAlexW2014176826MaRDI QIDQ1053519

M. A. Sumbatian

Publication date: 1982

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(82)90116-2

zbMATH Keywords

numerical resultselastic half-spacerigid stampexamplesfrictionless indentationequation decomposes into two one-dimensional integro-differential equationsfundamental two-dimensional integral equationrectangular contact domainrectangular stampspecial kernel approximationsquare stampsuccessfully reduced to form containing one-dimensional singular Cauchy- type integrals

Mathematics Subject Classification ID

Contact in solid mechanics (74M15) Dynamical problems in solid mechanics (74H99) Elastic materials (74B99) Integral equations with kernels of Cauchy type (45E05) Theories of friction (tribology) (74A55)

Cites Work

• Uniform indentation of the elastic half-space by a rigid rectangular punch
• HOLOMORPHIC FUNCTIONS WITH POSITIVE IMAGINARY PART IN THE FUTURE TUBE. II
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