An element-failure algorithm for dynamic crack propagation in general directions

An algorithm is presented for the finite element analysis of dynamic elasti c-plastic fracture mechanics. The algorithm allows crack propagation in any direction, but does not require remeshing or the definition of new contact surfaces. This is achieved by tracking the path of the crack tip and faili ng the elements crossed by the path such that they can no longer sustain de viatoric or tensile volumetric stresses. The edges of these failed elements simulate crack faces that can sustain only compressive normal tractions. T his element-failure technique is compared to the predominant node-splitting technique by example calculations. The T* fracture parameter, which includ es inertial effects, is employed to indicate propagation. A study of the co nvergence of T* with mesh refinement is included. Additional examples are p resented to demonstrate the versatility of the element-failure algorithm. ( C) 1998 Elsevier Science Ltd. All rights reserved.