BESSEL FUNCTIONS FOR AXISYMMETRIC ELASTICITY PROBLEMS OF THE ELASTIC HALF SPACE SOIL: A POTENTIAL FUNCTION METHOD

  • CC Ike DEPT. OF CIVIL ENGR., ENUGU STATE UNIVERSITY OF SCIENCE AND TECHNOLOGY, ENUGU, ENUGU STATE. NIGERIA
  • HN Onah DEPARTMENT OF CIVIL ENGINEERING, UNIVERSITY OF NIGERIA, NSUKKA. ENUGU STATE. NIGERIA
  • CU Nwoji DEPARTMENT OF CIVIL ENGINEERING, UNIVERSITY OF NIGERIA, NSUKKA. ENUGU STATE. NIGERIA
Keywords: Axisymmetric elasticity problem, Boussinesq – Papkovich – Neuber potential function, Bessel functions of order zero and of the first kind, semi-infinite soil mass, displacement formulation, stress formulation.

Abstract

Elasticity problems are formulated using displacement methods or stress methods. In this paper a displacement formulation of axisymmetric elasticity problem is presented. The formulation uses the Boussinesq– Papkovich – Neuber potential function. The problem is then solved by assuming Boussinesq – Papkovich - Neuber potential functions in the form of Bessel functions of order zero and of the first kind. The potential functions are then made to satisfy the governing field equations and the associated boundary conditions for the particular problem of a point load at the origin of the semi-infinite linear elastic isotropic soil mass. The unknown parameters of the function are thus determined and used to find the stresses, strains and displacement fields in the loaded soil. The results obtained were identical with the results obtained by Boussinesq.

 

http://dx.doi.org/10.4314/njt.v36i3.16

Published
2017-06-30
Section
Building, Civil & Geotechical Engineering

Journal Identifiers


eISSN: 2467-8821
print ISSN: 0331-8443