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1 International Journal of Applied Mechanics and Engineering

1 2011

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Elastodynamics response of expanding surface loads in a fluid saturated porous medium

Kumar R., Kumar S., Miglani A.

International Journal of Applied Mechanics and Engineering

2011

Vol. 16, no 1

57-67

The present investigation is concerned with axi-symmetric deformation in a fluid saturated incompressible porous medium whose surface is subject to loads that suddenly emanate from a point on the surface and expand radially at constant rate. The cases of loads shaped as a ring and disc are considered in detail. These loads are chosen so that they exert a constant force on the surface as they expand. Laplace and Hankel transform techniques are used to solve the problem. The integral transforms are inverted by using a numerical inversion technique to obtain the components of stresses and pore pressure in the physical domain. The results concerning these quantities are given and illustrated graphically to depict the effect of pore pressure. A particular case of interest deduced from the present investigation.