Simulation of crack propagation based on eigenerosion in brittle and ductile materials subject to finite strains

Abstract In this paper, a framework for the simulation of crack propagation in brittle and ductile materials is proposed. The derived by extending eigenerosion approach Pandolfi Ortiz (Int J Numer Methods Eng 92(8):694–714, 2012. 10.1002/nme.4352 ) to finite strains connecting it with generalized energy-based, Griffith-type failure criterion fracture. To model elasto-plastic response, classical strain formulation extended viscous regularization account shear band localization prior compression–tension asymmetry, which becomes particularly important during under cyclic loading, incorporated splitting energy density into tensile compression part. comparative study based on benchmark problems, shown that unified indeed able represent fracture at ensure converging, mesh-independent solutions. Furthermore, proposed analyzed Wöhler curves can be represented.