A MESHLESS SINGULAR HYBRID BOUNDARY NODE METHOD FOR 2-D ELASTOSTATICS

摘要

As a boundary-type meshless method, the HBNM presented by authors' group is based on a modified variational principle and MLS approximation, so it possesses the advantages of both BEM and meshless methods. This method does not require any mesh for variable interpolations or for boundary integration. In order to avoid the singular integrals which exist in HBNM, the RHBNM was proposed, in which the source points of the fundamental solutions are moved outside the domain. However, such treatment is not convenient for problems with irregular geometries and may lead to insufficient numerical stability. In this paper, the singular integral and the "boundary layer effect" in HBNM are properly treated. Thus, the dependence of the numerical results on scale factor in RHBNM can be successfully avoided. Numerical examples show high accuracy and high convergence rates for the presented scheme.