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Plain strain problem of poroelasticity using eigenvalue approach
Authors:Rajneesh Kumar  Aseem Miglani  N R Garg
Institution:(1) Department of Mathematics, Kurukshetra University, Kurukshetra 136 119, Haryana, India;(2) Department of Mathematics, M. M. Engineering College, Mullana 133 203, Ambala, Haryana, India;(3) Department of Mathematics, Maharshi Dayanand University, Rohtak 124 001, Haryana, India
Abstract:A plain strain problem of an isotropic elastic liquid-saturated porous medium in poroelasticity has been studied. The eigenvalue approach using the Laplace and Fourier transforms has been employed and these transforms have been inverted by using a numerical technique. An application of infinite space with concentrated force at the origin has been presented to illustrate the utility of the approach. The displacement and stress components in the physical domain are obtained numerically. The results are shown graphically and can be used for a broad class of problems related to liquid-saturated porous media.
Keywords:Plain strain  liquid-saturated porous  eigenvalue  Laplace and Fourier transforms
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