Please use this identifier to cite or link to this item: https://rda.sliit.lk/handle/123456789/204
Title: Vertical vibrations of a rigid disk embedded in a poroelastic medium
Authors: Zeng, X
Rajapakse, R. K. N. D
Keywords: Vertical vibrations
rigid disk
disk embedded
poroelastic medium
Issue Date: 25-Dec-1999
Publisher: John Wiley & Sons, Ltd.
Citation: 77
Series/Report no.: International Journal for Numerical and Analytical Methods in Geomechanics;Vol23, Issue15,Pages 2075-2095
Abstract: his paper considers the steady-state vertical vibrations of a rigid circular disk embedded at a finite depth below the free surface of a poroelastic medium. Biot's elastodynamic theory for porous media is used in the analysis. General solutions for axisymmetric poroelastic fields are obtained by using Hankel integral transforms. Analytical solutions for influence functions corresponding to four types of buried axisymmetric excitations are derived. The embedded disk problem is fomulated in terms of a set of coupled integral equations for unknown traction and pore pressure jumps across the disk. The kernel functions of the integral equations are the influence functions corresponding to buried vertical, radial and pore pressure ring loads. The system of integral equations is solved numerically by discretizing the disk into several concentric annular rings. Selected numerical solutions for displacements, vertical stress and pore pressure due to a buried fully flexible disk (uniform pressure) are also presented. The vertical compliances of a rigid disk are examined for different depths of embedment, poroelastic materials and hydraulic boundary conditions. Solutions for traction and pore pressure jumps are also examined. The present results are useful in the study of dynamic response of embedded foundations and anchors in poroelastic soils.
URI: http://localhost:8080/jspui/handle/123456789/204
ISSN: 1096-9853
Appears in Collections:Research Papers - Department of Civil Engineering
Research Papers - SLIIT Staff Publications

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