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Статья
2016

The elastic semi-space consolidation under the normal load on a square area


A. V. KosterinA. V. Kosterin, E. V. SkvortsovE. V. Skvortsov
Русская математика
https://doi.org/10.3103/S1066369X16100108
Abstract / Full Text

We investigate the elastic saturated semi-space consolidation under the uniform normal load on a square area. The analytical forms for the fluid pressure and the semi-space surface settlement are found by the solutions to the Dirichlet problem for the Laplace equation and the first boundary-value problem for the heat equation.

Author information
  • Kazan (Volga Region) Federal University, ul. Kremlyovskaya 18, Kazan, 420008, RussiaA. V. Kosterin & E. V. Skvortsov
References
  1. Kosterin, A.V., Skvortsov, E.V. “SeepageConsolidation of Elastic Half-Space Under an Axisymmetric Load”, Fluid Dyn. 49, No. 5, 627–633 (2014).
  2. Polyanin, A. D. Handbook of Linear Partial Differential Equations for Engineers and Scientists (Fizmatlit, Moscow, 2001; Boca Raton, FL Chapman & Hall/CRC, 2002).
  3. Prudnikov, A. P., Brychkov, Yu. A., Marichev, O. I. Integrals and Series. Elementary Functions (Nauka, Moscow, 1981) [in Russian].