Phase field fracture models have demonstrated great capacities in simulating crack
nucleation, propagation, branching, and joining in brittle and ductile materials subjected to …

Global warming and extreme climate problems caused by the intensive exploitation of fossil
fuels have become increasingly serious. With the urgent global demand for clean energy …

The phase field method has gathered significant attention in the past decade due to its
versatile applications in engineering contexts, including fatigue crack propagation modeling …

This work presents an adaptive phase field framework for the simulation of crack nucleation
and propagation in brittle materials subject to low-cycle loading. We introduce a fatigue …

We present a new theoretical and computational framework for modelling electro-chemo-
mechanical fracture. The model combines a phase field description of fracture with a fully …

A novel FFT-based phase-field fracture framework for modelling fatigue crack initiation and
propagation at the microscale is presented. A damage driving force is defined based on the …

Phase-field model (PFM) for fatigue has recently attracted intensive efforts, but its extension
to high-cycle fatigue (HCF) with efficient computation still remains a challenge. Here we …

Fatigue fracture is one of the main causes of structural failure under cyclic loading, so
accurate evaluation of fatigue fracture is very important for the design of structures subjected …

A new model is presented to predict hydrogen-assisted fatigue. The model combines a
phase field description of fracture and fatigue, stress-assisted hydrogen diffusion, and a …

Phase field fracture models have seen widespread application in the last decade. Among
these applications, its use to model the evolution of fatigue cracks has attracted particular …