The Fast Multipole Boundary Element Method for plane anisotropic problems

Dias Júnior, A .B¹; Albuquerque, E. L¹

¹ Universidade de Brasília

doi:10.20906/CPS/CILAMCE2017-0623

Resumo

This paper presents a fast multipole boundary element method for large-scale analysis of plane anisotropic problems. Integral equations for plane anisotropic problems are written in a complex form. Fundamental solutions are expanded into Taylor series and the integration on far elements are written considering only locations of element and expansion point (location of the source point has no influence on far element integration). A hierarchical tree structure is assembled in order to group near and far elements. Integration of near elements is treated by the direct application of the boundary element method while fast multipole expansion is used for integration of far element. Numerical examples are presented to study the accuracy and efficiency of the fast multipole BEM formulation. These results demonstrate the potential of the fast multipole BEM for solving large-scale plane anisotropic problems.

Palavras-chave: Fast Multipole ; Boundary Element Method; Anisotropic plane elasticity