Multiple reciprocity hybrid boundary node method for elastic torsion problems

Elastic torsion may be considered as a boundary value problem of Poisson's equation. Combining the regular hybrid boundary node method (RHBNM) and multiple reciprocity method (MRM), a new boundary meshless method, which is called multiple reciprocity hybrid boundary node method (MRHBNM), is proposed for solving the elastic torsion problem. The solution of the problem was divided into two parts, i.e., the complementary and particular solutions. The complementary solution is solved by RHBNM, and the particular solution was approximated by the high-order fundamental solutions. Therefore, it has the advantages of the both BEM and meshless methods, the interior integrals and inner points can also be avoided. The torsion problem of anisotropic bar was also solved, in which the coordinate conversion is employed. Numerical examples show that the present method is accurate, effective and convergent.