Analytical Solution of Lamb’s Problem in the Case of a Limiting Poisson Ratio


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Abstract

Lamb’s problem for a force applied to the boundary of an elastic half-space is considered in the case of a limiting Poisson ratio of 1/2. The solution is represented in the form of contour integrals, for which asymptotic estimates for large values of the polar radius are given.

About the authors

Kh. Kh. Il’yasov

Ishlinskii Institute for Problems in Mechanics, Russian Academy of Sciences; Faculty of Physics, Lomonosov Moscow State University

Author for correspondence.
Email: ilyasov@ipmnet.ru
Russian Federation, Moscow, 119526; Moscow, 119992

A. V. Kravtsov

Ishlinskii Institute for Problems in Mechanics, Russian Academy of Sciences; Faculty of Physics, Lomonosov Moscow State University

Author for correspondence.
Email: avkravtsow@rambler.ru
Russian Federation, Moscow, 119526; Moscow, 119992

S. V. Kuznetsov

Ishlinskii Institute for Problems in Mechanics, Russian Academy of Sciences; Faculty of Physics, Lomonosov Moscow State University

Author for correspondence.
Email: kuzn-sergey@yandex.ru
Russian Federation, Moscow, 119526; Moscow, 119992

S. Ya. Sekerzh-Zenkovich

Ishlinskii Institute for Problems in Mechanics, Russian Academy of Sciences; Faculty of Physics, Lomonosov Moscow State University

Author for correspondence.
Email: sekerzh@gmail.com
Russian Federation, Moscow, 119526; Moscow, 119992

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