e-ISSN : 0975-4024 p-ISSN : 2319-8613   
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ABSTRACT

ISSN: 0975-4024

Title : General Solutions for Axisymmetric Elasticity Problems of Elastic Half Space using Hankel Transform Method
Authors : Charles Chinwuba Ike
Keywords : Hankel transform method, axisymmetric elasticity problem, Love stress function, stress fields, displacement fields, Boussinesq problem
Issue Date : Apr-May 2018
Abstract :
In this work, the Hankel transform method was used to obtain general solutions for stress and displacement fields in semi-infinite linear elastic, isotropic soil under axisymmetric load. Hankel transformation of the governing equations in a stress-based formulation was used to find the Love stress function. Hankel transforms were also applied to the stress and displacement fields to obtain general solutions for the stresses and displacements. The general solutions obtained were used to solve the particular axisymmetric elasticity problem of Boussinesq. The solutions obtained were exactly the same as the solutions obtained by Boussinesq who solved the problem using Boussinesq stress potential functions.
Page(s) : 565-580
ISSN : 0975-4024 (Online) 2319-8613 (Print)
Source : Vol. 10, No.2
PDF : Download
DOI : 10.21817/ijet/2018/v10i2/181002112