Meshfree cohesive cracking method for dynamic material failure

Abstract

We develop a cohesive meshfree crack method for material failure under dynamic loading conditions. Failure is modeled by discrete crack approach. Crack is represented by a set of cohesive crack segments that are restricted to lie on the nodes but which can be arbitrarily oriented. Propagation of the crack is achieved by activation of crack surfaces at individual nodes, so no representation of the crack surface is needed. The crack is modeled by local enrichment of the test and trial functions with sign function, so that discontinuities are along the direction of the crack. A set of cracking rules is developed to avoid spurious cracking. The method is applied to two problems and compared to experimental data and results of other researchers. The results are very promising.