Stress Analysis with Initial Strain by Boundary Element Method

Abstract

Linear stress analysis without initial strain can be easily solved by the boundary element method. However, in general, domain integrals are necessary to solve the linear stress problem with initial strain. This paper shows that the linear stress problem with initial strain can be approximated without the need for a domain integral. In order to solve the linear stress problem with complicated initial strain, contour lines of initial strain are used to divide the domain into small areas, where the distributions of initial strain are assumed to approximately satisfy the Laplace equation. A new computer program is developed and applied to some problems.