Exterior 3D lamb problem: Harmonic load distributed over a surface


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Abstract

The solutions of the exterior Lamb problem with a distributed harmonic surface load acting on the boundary of an elastic half-space are studied. A load normal to the surface and distributed over the surface as the Poisson kernel is considered. The solution is constructed with the use of integral transforms and the finite-element method.

About the authors

Kh. Kh. Il’yasov

Ishlinsky Institute for Problems in Mechanics

Author for correspondence.
Email: ilyasov@ipmnet.ru
Russian Federation, pr. Vernadskogo 101, str. 1, Moscow, 119526

A. V. Kravtsov

LomonosovMoscow State University

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Email: avkravtsow@rambler.ru
Russian Federation, Moscow, 119992

S. V. Kuznetsov

Ishlinsky Institute for Problems in Mechanics

Author for correspondence.
Email: kuzn-sergey@yandex.ru
Russian Federation, pr. Vernadskogo 101, str. 1, Moscow, 119526

S. Ya. Sekerzh-Zen’kovich

Ishlinsky Institute for Problems in Mechanics; Financial University under the Government of the Russian Federation

Author for correspondence.
Email: seker@ipmnet.ru
Russian Federation, pr. Vernadskogo 101, str. 1, Moscow, 119526; Leningradskii pr. 49, Moscow, 125993

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