Author/Authors :
Petrov, Andrey National Research Lobachevsky State University of Nizhny Novgorod, Russia , Grigoryev, Mikhail National Research Lobachevsky State University of Nizhny Novgorod, Russia , Igumnov, Leonid National Research Lobachevsky State University of Nizhny Novgorod, Russia , Belov, Alexandr National Research Lobachevsky State University of Nizhny Novgorod, Russia , Eremeyev, Victor Department of Civil and Environmental Engineering and Architecture (DICAAR) - University of Cagliari, Italy
Abstract :
The boundary element method is used to analyze the problem of dynamic loading acting inside a cubic cavity located in a partially saturated poroelastic halfspace. Defining relations of a Biot’s porous medium are used, which are written in Laplace representations for unknown functions of displacements of the skeleton and pore pressures of the fillers. Solutions in time are obtained using the stepped method of numerical inversion of Laplace transforms. Dynamic responses of displacements and pore pressures at points on the surface of the halfspace and the cavity have been constructed. The effect of the values of the saturation coefficient and of the depth of the location of the cavity on dynamic responses has been studied.
Keywords :
Poroelastic half-space , embedded cubic cavity , step load , boundary element method , Laplace transform
