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

摘要

We propose a local C~2-continuous 2-node integrated-RBF element (IRBFE) method for the numerical modeling of strain localisation due to material discontinuity in a segmented elastic bar. The proposed local 2-node IRBFE 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 C~2 -continuous except at the bimaterial interface where the actual physical discontinuity is captured.