Modeling strain localisation in a segmented bar by a C2-continuous two-node integrated-RBF element formulation

Abstract

We propose a local C2-continuous 2-node integrated-RBF element (IRBFE) method for the numerical modeling of strain localisation due to material discontinuityin asegmentedelastic bar. The proposed local 2-nodeIRBFE method can be based on structured or unstructured point collocation procedures where both accuracy and efficiency are achieved. We introduce an effective way to exactly handle the material discontinuity by means of integration constants. Numerical results obtained for a bimaterial bar are compared with those from the analytic and finite element methods, demonstrating the advantage of the present approach. It will be shown that the solution is C2-continuous except at the bimaterial interface where the actual physical discontinuity is captured. © 201 WIT Press.