Geodesic
Influence of a nonstationary surface load on elastic porous half-space
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference on Mathematical Modelling in Applied Sciences ICMMAS-17, St. Petersburg Polytechnic University, July 24-28, 2017, Tome 160 (2019), pp. 105-113.

Voir la notice de l'article provenant de la source Math-Net.Ru

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, singular integral
Mots-clés : quadrature formula, superposition principle. 
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O. N. Peshcherikova; G. V. Fedotenkov. Influence of a nonstationary surface load on elastic porous half-space. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference on Mathematical Modelling in Applied Sciences ICMMAS-17, St. Petersburg Polytechnic University, July 24-28, 2017, Tome 160 (2019), pp. 105-113. http://geodesic.mathdoc.fr/item/INTO_2019_160_a11/

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