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DISPLACEMENT AND STRESS FIELDS IN A POROELASTIC HALF-SPACE DUE TO A CONCENTRATED FORCE

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Author(s): AMIT KUMAR | KULDIP SINGH | MUKESH KUMAR SHARMA

Journal: International Journal of Engineering Science and Technology
ISSN 0975-5462

Volume: 4;
Issue: 6;
Start page: 2475;
Date: 2012;
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Keywords: Single force | Displacement | Stress field | Poroelastic Half-space | Pore pressure | Galerkin vector

ABSTRACT
Following the procedure of Mindlin and Cheng (1952), the closed-form analytical expressions for the displacements, stresses and pore pressure induced by a single force of arbitrary orientation located in a homogeneous, isotropic poroelastic half-space are obtained. The corresponding stresses have the property that traction vanishes on the plane boundary of the half space. Formulae for calculating the displacement vector and the stresses are obtained by using the Galerkin vector approach. It has been verified that the displacements and stresses in an elastic half-space under the action of concentrated forces can be calculated by using our results after replacing some constants.
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