The meshless method of fundamental solutions applied to couple stress problems

Abstract

In this paper, the meshless method of fundamental solutions is developed to solve couple stress problems even with the existence of body forces. Suitable new particular solutions are derived to deal with the non-homogeneous partial differential equations keeping the meshless essence of the developed technique. The derivation of the new particular solutions for generalizing displacements and tractions are discussed in detail. Several examples including stress concentration and problems with body forces are tested to demonstrate the efficiency and strength of the derived formulation.