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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive

Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2019 Volume 160, Pages 105–113 (Mi into429)

Influence of a nonstationary surface load on elastic porous half-space

O. N. Peshcherikovaa, G. V. Fedotenkovab

a Moscow Aviation Institute (National Research University)
b Lomonosov Moscow State University, Institute of Mechanics

Abstract: In this paper, we develop a method for solving planar nonstationary problems on the influence of a surface pressure on an elastic-porous half-space. Using surface influence functions, we obtain an integral relation, which expresses the desired displacements with the surface pressure. A numerical-analytical algorithm is constructed. For calculating singular integrals, we derive special quadrature formulas based on the canonical regularization of integrands.

Keywords: nonstationary problem, numerical-analytical algorithm, elastic porous medium, influence function, quadrature formula, singular integral, superposition principle.

UDC: 517.958

MSC: 74B99



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