Thermodynamics and Analysis of Predicted Responses of a Phase Field Model for Ductile Fracture

Abstract

The fundamental idea in phase field theories is to assume the presence of an additional state variable, the so-called phase field, and its gradient in the general functional used for the description of the behaviour of materials. In linear elastic fracture mechanics the phase field is employed to capture the surface energy of the crack, while in damage mechanics it represents the variable of isotropic damage. The present paper is concerned, in the context of plasticity and ductile fracture, with a commonly used phase field model in fracture mechanics. On the one hand, an appropriate framework for thermodynamical consistency is outlined. On the other hand, an analysis of the model responses for cyclic loading conditions and pure kinematic or pure isotropic hardening are shown.

Phase-Field Simulation on the Effect of Second-Phase Particles on Abnormal Growth of Goss Grains in Fe-3%Si Steels

“…The phase-field method is an effective computational simulation method for characterizing the microstructure evolution and has been used in many areas [ 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 ]. Many phase-field models have been developed for grain growth in a multi-grains system [ 22 , 23 , 24 , 25 ].…”