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The fracture toughness for a mode I/II crack propagating in a ductilematerial has been subject to numerous investigations. However, the influence ofthe material hardening law has received very limited attention, with isotropichardening being the default choice if cyclic loads are absent. The present workextends the existing studies of monotonic mode I/II steady-state crackpropagation with the goal to compare the predictions from an isotropichardening model with that of a kinematic hardening model. The work is conductedthrough a purpose-built steady-state framework that directly delivers thesteady-state solution. In order to provide a fracture criterion, a cohesivezone model is adopted and embedded at the crack tip in the steady-stateframework, while a control algorithm for the far-field, that significantlyreduces the number of equilibrium iterations is employed to couple thefar-field loading to the correct crack tip opening. Results show that thesteady-state fracture toughness (shielding ratio) obtained for a kinematichardening material is larger than for the corresponding isotropic hardeningcase. The difference between the isotropic and kinematic model is tied to thenonproportional loading conditions and reverse plasticity. This also explainsthe vanishing difference in the shielding ratio when considering mode II crackpropagation as the non-proportional loading is less pronounced and the reverseplasticity is absent.

Steady-state fracture toughness of elastic-plastic solids: Isotropic versus kinematic hardening