Dynamic response of an axially loaded rigid sphere embedded in a saturated poroelastic medium |
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Authors: | A S Osman M Rouainia |
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Institution: | (1) Mathematics and Physics College of Jiangsu University, Zhenjiang, Jiangsu, 212013, P.R. China;(2) Department of Earth Science, University of Bergen, Allegaten 41, N5007 Bergen, Norway;(3) School of Civil Engineering, The University of Sydney, Sydney, NSW, 2006, Australia |
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Abstract: | In this paper, an analytical solution for the response of a rigid sphere embedded in a full space poroelastic medium subjected
to a dynamic lateral load is derived. The solution is obtained using Biots theory for acoustic waves. In this solution, the
displacements of the solid skeleton and the pore pressure are expressed in terms of three scalar potentials. These potentials
correspond to the wave velocities of the slow and fast compressional waves and to the shear wave. The governing equation for
the dynamic motion is expressed in the frequency domain using Fourier transformation. Different boundary and load conditions
were investigated. Curves showing variation in the fluid pressure and solid displacements with the loads frequency were plotted
in non-dimensional forms. |
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Keywords: | |
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