Application of penalty-equilibrium hybrid stress element method to crack problems

Based on a penalty Hellinger-Reissner principle, two special hybrid stress elements ensuring traction-free conditions along arbitrary boundaries are i ntroduced to improve the penalty-equilibrium hybrid stress element method ( PEHS). In the element formulation, the stresses are approximated by complet e polynomials of global co-ordinates, The path independence of J(1)- and I- 1*-integrals is examined. These integrals are then used for the determinati on of the stress intensity factor (SIF) at the tip of a crack in mode I or II in a linear isotropic or orthotropic material. Studies on the validity o f the dual analysis concept for both materials are also carried out. Confir mative numerical results for typical cracked specimens are presented and di scussed. (C) 1999 Elsevier Science Ltd. All rights reserved.