Three-dimensional time-harmonic Green's functions of saturated soil under buried loading |
| |
Authors: | SL Chen LZ Chen E Pan |
| |
Institution: | aDepartment of Civil Engineering, Shanghai Jiaotong University, 800 Dongchuan Road, Minhang, Shanghai, PR China;bDepartment of Civil Engineering, The University of Akron, Akron, OH 44325-3905, USA |
| |
Abstract: | Three-dimensional time-harmonic response of a poroelastic half space subjected to an arbitrary buried loading is investigated. The analysis starts with the field equations in cylindrical coordinates based on Biot's general theory of poroelasticity. General solutions for the displacements are first derived using the Fourier expansions and Hankel integral transform with respect to the circumferential and radial coordinates, respectively. The transformed-domain solutions are obtained in explicit form. The physical-domain displacements and stress components are then obtained numerically by inverse integral transform. Comparisons illustrating the accuracy of the developed approach are made with existing solutions for an elastic half space, which is reduced directly from the general solution developed in the paper. Numerical results are presented for the displacements of a saturated soil subjected to a horizontal internal excitation. |
| |
Keywords: | Saturated soil Lamb's problem Three-dimensional Time harmonic Green's function Integral transform |
本文献已被 ScienceDirect 等数据库收录! |
|