The Method of Fundamental Solutions for Two-Dimensional Elastostatic Problems with Stress Concentration and Highly Anisotropic Materials

The method of fundamental solutions (MFS) is a boundary-type and truly meshfree method, which recognized as an efficient numerical tool for solving boundary value problems. geometrical shape, conditions, applied loads can be easily modeled in the MFS. This capability makes MFS particularly suitable shape optimization, moving load, inverse However, it observed that standard lead to inaccurate some elastostatic problems with stress concentration and/or highly anisotropic materials. In this work, by study, important parameters, have significant influence on accuracy analysis two-dimensional problems, are investigated. studied parameters degree anisotropy problem, ratio number collocation points source points, distance between main pseudo boundaries. It material increases, there will more errors results. also simple increasing boundaries enhances results; however, not case complicated Moreover, concluded than significantly improve