H. H. Ilyasov, A. V. Kravtsov, S. V. Kuznetsov, S. Ya. Sekerzh-Zen'kovich, “Analytical solution of Lamb's problem in the case of a limiting poisson ratio”, Zh. Vychisl. Mat. Mat. Fiz., 2019, Volume 59, Number 4,Pages <nobr>597

This article is cited in 3 papers

Analytical solution of Lamb's problem in the case of a limiting poisson ratio

H. H. Ilyasov^ab, A. V. Kravtsov^ba, S. V. Kuznetsov^ab, S. Ya. Sekerzh-Zen'kovich^ab

^a Ishlinskii Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, 119526 Russia
^b Faculty of Physics, Lomonosov Moscow State University, Moscow, 119992 Russia

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.

Key words: elastic medium, Lame equations, Poisson's ratio, Rayleigh pole, asymptotic estimates of contour integrals.

UDC: 517.958

Received: 03.10.2018
Revised: 14.11.2018
Accepted: 14.11.2018

DOI: 10.1134/S0044466919040057