As an evident drawback for using the conventional boundary element method (BEM), an extra domain integral is present in the boundary integral equation when body-force effects are involved. For 2D anisotropic elastostatics, the extra domain integral has been exactly transformed to the boundary; however, an additional line integral intersecting the domain is involved for general cases to make the transformation. For a multiply connected region, this process is quite involving and computation-wise inefficient indeed, especially when its geometry is very complicated. In this article, a new approach is proposed to make the transformation, yet without involving extra line integrals. By this approach, the BEM's notion as a boundary solution technique is completely restored. In the end, a few benchmark problems are studied to demonstrate the veracity of formulations as well as our successful implementation in an existing BEM code.
All Science Journal Classification (ASJC) codes
- Computational Mathematics
- Applied Mathematics