The dynamic responses of an infinite plate resting on a poroelastic layered half‐space soil medium with imperfect interface to a moving load

Abstract

The present study deals with the dynamic responses of an infinite plate resting on a poroelastic layered half-space soil medium with imperfect interfaces to a moving load. Kirchhoff thin plate theory is employed to analyze the plate, while Biot's fully dynamic poroelastic theory is used to characterize the poroelastic half-space. Applying the Fourier transform and vector functions, the completely coupled system of equations of motion for the layered system are reduced to a system of decoupled ordinary differential equations which could be solved semianalytically. The propagation relationships for the layered structure with imperfect interfaces are derived by the novel and efficient dual variable and position (DVP) method. In so doing, the calculated expansion coefficients in the transformed domain are utilized to calculate the unknowns in the physical domain by integration at each field point. Numerical analyses validate the obtained results by comparing with the existing work, and soil vertical displacements, accelerations and pore water pressures induced by moving load are calculated. Moreover, the effects of the different factors are investigated. Computed result shows apparent influences of load velocity, intrinsic permeability and imperfect bonded condition of the soil medium on the dynamic responses of the whole system.

Exact solution of the plane problems for poroelastic rectangle and semi‐strip

“…The dynamic responses of an infinite plate resting on a poroelastic layered half‐space soil medium with imperfect interfaces to a moving load in terms of Kirchhoff thin plate theory and Biot's fully dynamic poroelastic theory was studied in ref. [8]. The problem was solved semi‐analytically with the help of Fourier transform and vector functions.…”