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Anisotropic; liquid-saturated porous; eigenvalue; Laplace and Fourier transforms.

Eigenvalue approach, following Laplace and Fourier transforms, has been employed to find the general solution to the field equations in an anisotropic liquid-saturated porous medium, in the transformed domain. The results of isotropic liquid-saturated porous medium can be derived as a special case. A numerical inversion technique has been applied to get the solutions in the physical domain. To illustrate the utility of the approach, an application of infinite space with impulsive force at the origin has been considered. The results in the form of displacement and stress components have been obtained and discussed graphically for a particular model.

Rajneesh Kumar¹ Aseem Miglani² N R Garg³

1. Department of Mathematics, Kurukshetra University, Kurukshetra 136 119, India.
2. Department of Mathematics, M.M. Engineering College, Mullana 133 203, Ambala, India.
3. Department of Mathematics, Maharshi Dayanand University, Rohtak 124 001, India.

Published

June 2002

Manuscript received

24 September 2001

Manuscript revised

14 March 2002