Abstract:

Combining the hybrid boundary node method (HBNM) and the dual reciprocity principle, a truly boundary-type meshless method- dual reciprocity hybrid boundary node method is presented for solving dynamic problems. It is used to numerically find the solutions of a crack of finite specimen under an impact load. The solution is divided into particular solution and general solution. The general solution is solved by means of HBNM; and the particular solution is approximated by using radial basis functions (RBF). The inner nodes are just for RBF interpolation, which is not influence that the present method is a boundary-only method. The basis functions enrichment in moving least squares (MLS) are presented for simulating the singularity of the stress field on the tip of the fracture. The presented method has many advantages such as simple post processing and higher accuracy. Numerical examples have shown the stability and the validity of the presented method.

Key words: hybrid boundary node method, dual reciprocity principle, dynamic fracture, basis function enrichment, moving least square