On the boundary integral formulation of the plane theory of elasticity with applications (analytical aspects)
type: Item
instance of: scholarly article
title: On the boundary integral formulation of the plane theory of elasticity with applications (analytical aspects)
zbMATH Open document ID: 0943.74004
DOI: 10.1016/S0377-0427(99)00052-7
author: Ahmed Ghaleb
author: M. S. Abou-Dina
published in: Journal of Computational and Applied Mathematics
publication date: 2000-09-05T00:00:00Z
review text: A formulation which uses real functions and the boundary integral method, is given for the plane strain problem of the theory of elasticity in stresses in a simply connected domain. The authors find the arbitrary constants that occur in the solution. The method developed is applied to the solution of the first and second fundamental problems for a circle and for an ellipse. These applications not only confirm the validity of the formulation, but are also helpful in discussing some of its merits related to the non-simple geometry of the boundary. The applications of the method to the thermoelasticity and thermoelectromagnetic elasticity will be presented in the forthcoming papers.
Mathematics Subject Classification ID: 74B05
zbMATH DE Number: 1334647
zbMATH Keywords: linear elasticity
zbMATH Keywords: harmonic function
zbMATH Keywords: real functions
zbMATH Keywords: boundary integral method
zbMATH Keywords: plane strain problem
zbMATH Keywords: arbitrary constants
zbMATH Keywords: circle
zbMATH Keywords: ellipse
MaRDI profile type: Publication
cites work: The Boundary Integral Equation Method in Plane Elasticity
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description: scientific article; zbMATH DE number 1334647