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

Hydrogen embrittlement in metals (HE) is a serious challenge for the use of high strength
materials in engineering practice and a major barrier to the use of hydrogen for global …

We present a generalised phase field-based formulation for predicting fatigue crack growth
in metals. The theoretical framework aims at covering a wide range of material behaviour …

We present a generalised phase field formulation for predicting high-cycle fatigue in metals.
Different fatigue degradation functions are presented, together with new damage …

A phase-field approach was used in order to model the complex mechanisms of fatigue
crack nucleation and growth. This popular method enables a flexible framework that …

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 …

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 …

We investigate the implications of conducting hydrogen-assisted fatigue crack growth
experiments in a hydrogen gas environment (in-situ hydrogen charging) or in air (following …

This work proposes a phase-field framework for hydrogen-assisted failures of brittle
materials using multi-patch isogeometric modeling, considering the effects of hydrogen …

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 …