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 …

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 …

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 …

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 …

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 …

During the last decades various phase-field model have been developed in the variational
approach to model dynamic fracture of brittle solids. Complex fracture phenomena such as …

Crack branching has important theoretical and practical significance in many natural
phenomena and practical engineering problems. At present, the field of crack branching is …

Materials failure in 3D still poses basic challenges. We study 3D brittle crack dynamics using
a phase-field approach, where Gaussian quenched disorder in the fracture energy is …

In this study, an explicit phase-field model with new mixed-mode fracture driving forces is
developed to simulate the blasting fracture phenomena in granites. The new fracture driving …

When brittle hydrogels fail, several mechanisms conspire to alter the state of stress near the
tip of a crack, and it is challenging to identify which mechanism is dominant. In the fracture of …