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 …

This paper presents an overview of the theories and computer implementation aspects of
phase field models (PFM) of fracture. The advantage of PFM over discontinuous approaches …

Shale reservoirs are extensively exploited using hydraulic fracturing, which forms multiple
cracks that connect with the existing natural fractures to create a continuous path for the gas …

In this paper, we propose an explicit phase field model for dynamic brittle fracture. The
mechanical field is integrated with a Verlet-velocity scheme, while the phase field is …

In this work, a critical comparison between three different numerical approaches for the
computational modelling of quasi-brittle structural failure is presented. Among the many …

Compressive-shear fracture is commonly observed in rock-like materials. However, this
fracture type cannot be captured by current phase field models (PFMs), which have been …

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 …

Being able to seamlessly deal with complex crack patterns like branching, merging and
even fragmentation, phase-field models (PFMs) are promising in the computational …

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 …

Despite the popularity in modeling complex and arbitrary crack configurations in solids,
phase-field damage models suffer from burdensome computational cost. This issue arises …