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. 
@article{INTO_2019_160_a11,
     author = {O. N. Peshcherikova and G. V. Fedotenkov},
     title = {Influence of a nonstationary surface load on elastic porous half-space},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {105--113},
     publisher = {mathdoc},
     volume = {160},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2019_160_a11/}
}
TY  - JOUR
AU  - O. N. Peshcherikova
AU  - G. V. Fedotenkov
TI  - Influence of a nonstationary surface load on elastic porous half-space
JO  - Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory
PY  - 2019
SP  - 105
EP  - 113
VL  - 160
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/INTO_2019_160_a11/
LA  - ru
ID  - INTO_2019_160_a11
ER  - 
%0 Journal Article
%A O. N. Peshcherikova
%A G. V. Fedotenkov
%T Influence of a nonstationary surface load on elastic porous half-space
%J Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory
%D 2019
%P 105-113
%V 160
%I mathdoc
%U http://geodesic.mathdoc.fr/item/INTO_2019_160_a11/
%G ru
%F INTO_2019_160_a11
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/