DEFORMATION IN AN INFINITE POROELASTIC MEDIUM WITH A LONG CIRCULAR CYLINDRICAL HOLE

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Abstract
Biot's equations of elasticity in plane polar coordinates for a porous material have been solved using two displacement functions expressed in terms of Fourier series, when the displacement is prescribed on a long circular cylindrical hole within an infinite medium. We have considered only the particular case in which the rotational component of the solid vanishes everywhere. The expressions for displacements, valid for small time, have been derived with the help of Laplace transforms, when the boundary is given an impulsive displacement. It is seen that in this transient phenomena, each component of the displacement contains an impulsive, as well as a continuous, PARTin the time variable. The continuous PARTin the radial displacement component has been plotted for various values of radial coordinates, for two values of the non-dimensional time variable.

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