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Response of an anisotropic liquid-saturated porous medium due to two dimensional sources
Authors:Rajneesh Kumar  Aseem Miglani  N. R. Garg
Affiliation:(1) Department of Mathematics, Kurukshetra University, 136 119 Kurukshetra, India;(2) Department of Mathematics, M.M. Engineering College, Mullana, 133 203 Ambala, India;(3) Department of Mathematics, Maharshi Dayanand University, 124 001 Rohtak, India
Abstract: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.
Keywords:Anisotropic  liquid-saturated porous  eigenvalue  Laplace and Fourier transforms
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