THE METHOD OF FUNDAMENTAL SOLUTIONS WITH DUAL RECIPROCITY FOR SOME LINEAR ELASTIC PROBLEMS IN 3D

摘要

The Method of Fundamental Solutions (MFS) is an indirect boundary method in which singularities are avoided through the use of a surface of fictitious points external to the problem geometry. The Method requires no mesh or integration, and is thus easier to implement than the Boundary Element Method (BEM). The method also permits that results for stresses, both on the boundary and inside the domain, be obtained without the use of special techniques. Here, some linear elastic problems, with and without body forces, in 3D, are considered. The MFS is combined with the Dual Reciprocity Method (DRM) in order to model nonhomogeneous terms in a similar way as is done in the BEM. Polyharmonic Spline approximation functions are employed with linear polynomial augmentation functions. Different types of surface are considered for positioning the fictitious points. Results are compared with the exact solutions.