Numerical simulation of elasto-plastic problems involving multi-fracturing
materials requires a reliable failure prediction technique and a robust sol
ution algorithm. This work approaches ductile fracture by means of continuu
m damage mechanics, from which two new failure criteria based on coupled an
d uncoupled damage analysis are derived. A two-parameter stress update algo
rithm for damaged materials based on a Newton-Raphson iterative procedure i
s presented. A posteriori error estimators using ductile failure concepts a
re also discussed. Copyright (C) 2001 John Wiley & Sons, Ltd.