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 …

Being able to model complex nucleation, propagation, branching and merging of cracks in
solids within a unified framework, the classical phase-field models for brittle fracture fail in …

Motivated by the successful implementation of the phase-field method (PFM) to simulate
complicated fracture patterns at moderate computational costs in solid materials, 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 …

A new phase method for predicting crack propagation path and mechanical response of
fiber reinforced composite laminate is proposed. A new three-dimensional (3D) crack …

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 …