Fracture is one of the most commonly encountered failure modes of engineering materials
and structures. Prevention of cracking-induced failure is, therefore, a major concern in …

Computational modeling of the initiation and propagation of complex fracture is central to the
discipline of engineering fracture mechanics. This review focuses on two promising …

Thermally induced cracking occurs in many engineering problems such as drying shrinkage
cracking of concrete, thermal shock induced fracture, micro cracking of two-phase composite …

Being able to seamlessly deal with complex crack patterns like branching, merging and
even fragmentation, the phase-field model, amongst several alternatives, is promising in the …

The present paper aims at modeling complex fracture phenomena where different damaging
mechanisms are involved. For this purpose, the standard one-variable phase-field/gradient …

Phase-field crack approximation relies on the proper definition of the crack driving strain
energy density to govern the crack evolution and a realistic model for the modified stresses …

We propose a new variational fatigue phase-field model. The basic idea of the model is to let
the fracture energy decrease as a suitably defined accumulated strain measure increases …

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

The critical energy release rate of the crack is always set as an inherent material property
(constant value) in the phase-field method (PFM) to depict the compression-shear and …

Brittle and ductile dynamic fracture in solids is a complex mechanical phenomenon which
attracted much attention from both engineers and scientists due to its technological interests …