Three-Dimensional Stress Analysis with Arbitrary Body Force by Triple-Reciprocity Boundary-Element Method.

Abstract

Linear stress analysis without 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 force distribution. This paper shows that the three-dimensional linear stress problem with complicated body force distribution can be solved approximately without a domain integral by the triple-reciprocity boundary element method. In this method, the distribution of complicated body forces is interpolated by integral equation. A new computer program is developed and applied to some problems.