Asymptotic methods of solving two-dimensional dynamic problems of a viscoelastic layer with mixed boundary conditions

DOI10.1016/0021-8928(81)90041-1zbMath0543.73145OpenAlexW2036676390MaRDI QIDQ796366

V. M. Aleksandrov, V. B. Zelentsov

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(81)90041-1

zbMATH Keywords

asymptotic methodrigid punchviscoelastic layershearinfinite algebraic systemsreduced to integral equations of the first kindtime dependent harmonic forcesviscoelastic Winkler foundation

Mathematics Subject Classification ID

Contact in solid mechanics (74M15) Dynamical problems in solid mechanics (74H99) Elastic materials (74B99) Theories of friction (tribology) (74A55)

Related Items (2)

High-frequency shear oscillations of a strip stamp on an elastic half- space ⋮ Dynamic problems for a plane and cylindrical viscoelastic layer partially adherent to a stiff ring

Cites Work

• On a method of reducing dual integral equations and dual series equations to infinite algebraic systems
• Mixed problems of the mechanics of continuous media associated with Hankel and Mehler-Fock integral transforms
• Asymptotic solution of a class of integral equations and its application to contact problems for cylindrical elastic bodies
• On an asymptotic method applicable to the solution of integral equations in the theory of elasticity and in mathematical physics
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