Steady state responses of poroelastic half-space soil medium to a moving rectangular load

Abstract

The dynamic steady state responses of a poroelastic half-space soil medium subjected to a moving rectangular load are investigated analytically/numerically. The full dynamic poroelastic theory of Biot is employed, under the assumption of an incompressible solid grain and neglecting the apparent mass density. Using the Fourier transform, the governing equations of motion are then reduced to a system of four coupled ordinary differential equations which are solved semi-analytically. Soil vertical displacements, accelerations and pore water pressures induced by moving load are calculated. Computed result shows that load velocity and intrinsic permeability of the soil medium shows an apparent effect on its dynamic responses and pore water pressures.

Response of railway track system on poroelastic half-space soil medium subjected to a moving train load

“…The model of a fully saturated poroelastic half-space subjected to a moving rectangular load is employed, and the parameters for the calculation are the same for both method. It can be seen that the results for the present work and that of Cai et al (2007) are in good agreement with each other.…”

“…3(b) compares the result of soil vertical displacement given in Cai et al (2007) with that calculated by the method of the present work. The model of a fully saturated poroelastic half-space subjected to a moving rectangular load is employed, and the parameters for the calculation are the same for both method.…”

“…Jin et al (2004) studied the responses of a poroelastic half-space subjected to a moving point load under plane strain condition. The steady state responses of a fully saturated poroelastic half-space subjected to a moving rectangular load was investigated by Cai et al (2007), the track system was not considered in the work. It is noted that although many problems involving consolidation or dynamic response of poroelastic media have been considered, the study dealt with the application of Biot's theory for analysis of dynamic responses of railway track system on poroelastic half-space under moving train load are rather limited.…”

Three‐dimensional steady‐state response of a railway system on layered half‐space soil medium subjected to a moving train

“…Two carriages and one engine are taken into account for a train in the numerical calculation and the train is set to move at a velocity of c * = 0.2, which is far [7] and (b) with that of Cai et al [16].…”

“…For example, the responses of a poroelastic half-space subjected to a moving load under the plane strain condition were studied by Burke and Kingsbury [11], Siddharthan et al [12], Theodorakopoulos [13], Theodorakopoulos et al [14] and Jin et al [15] . The three-dimensional steady-state responses of a fully saturated poroelastic half-space subjected to a moving rectangular load was investigated by Cai et al [16]. Xu et al [17,18] studied the dynamic response of layered poroelastic half-space and an infinite beam on layered poroelastic half-space under moving load, respectively.…”