Stress Analysis with Arbitrary Body Force by Boundary-Element Method.

Abstract

Linear stress analysis wtihout body force can be easily solved by means of the boundary-element method. Some cases of linear stress analysis with body force can also be solved without a domain integral. However, domain integrals are generally necessary to solve the linear stress problem with complicated body forces. This paper shows that the linear stress problem with complicated body forces can be solved approximately without a domain integral. In order to solve the linear stress problem with complicated body forces, the domain is divided into small areas using contour lines of body force. In these areas, the distributions of body force are assumed to approximately satisfy the Laplace equation.