An improved strain incremental formulation in boundary element method applied to a timber beam at the moment of failure

Abstract

A major formulating problem in boundary element method applied to plasticity problem is a singularity of strain incremental formulation at plastic region. This singularity arises from the singularity of Kernel stress derivative and it is a second order singularity. Brebbia, et al. [1] presents a method to solve the second order singularity problem by expanding the singular integral to reduce to non-singular integral. This method is supported by Kane [2]. Telles and Brebbia [3] also proposed indirect method to solve hypersingular integral. By using transformation method, and combine with Guiggiani and Gigante work [4], Leitao [5] extended Brebbia, et al. works to solve the second order singularity problem. The previous methods to solve the second order singularity problem require further improvement. This paper proposed a new and improved technique to solve this type of problem.