Singularities of the interaction of a vibrating stamp with an inhomogeneous heavy base

DOI10.1016/0021-8928(89)90015-4zbMath0735.73074OpenAlexW2042771446MaRDI QIDQ1175065

I. B. Polyakova, I. V. Lysenko, Valerij Kalinchuk

Publication date: 25 June 1992

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(89)90015-4

zbMATH Keywords

factorization methodintegral equations of the first kindwave processfundamental characteristicslinearized boundary value problemoscillating rigid stampsurface of an initially isotropic prestressed elastic half-space

Mathematics Subject Classification ID

Contact in solid mechanics (74M15) Vibrations in dynamical problems in solid mechanics (74H45) Inhomogeneity in solid mechanics (74E05) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Dynamical problems in solid mechanics (74H99) Theoretical approximation of solutions to integral equations (45L05) Elastic materials (74B99) Theories of friction (tribology) (74A55)

Related Items (2)

On shear vibrations of a punch on the surface of a prestressed half- space ⋮ The interaction of a vibrating punch with a prestressed half-space

Cites Work

• On wave excitation by a vibrating stamp in a medium with inhomogeneous initial stresses
• On the excitation of a prestressed cylinder
• Theory of small deformations of prestressed thin shells
• Methods of constructing Green's matrix of a stratified elastic half-space
• General theory of small elastic deformations superposed on finite elastic deformations
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