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 performance of finite element methods for dynamic crack propagation in brittle materials
is studied. Three methods are considered: the extended finite element method (XFEM) …

The cracking elements (CE) method is a recently presented self-propagating strong
discontinuity embedded approach with the statically optimal symmetric (SDA-SOS) …

The phase-field model has been attracting considerable attention due to its capability of
capturing complex crack propagations without mesh dependence. However, its validation …

This paper proposes a generalization of the eXtended finite element method (X‐FEM) to
model dynamic fracture and time‐dependent problems from a more general point of view …

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 development in brittle materials under dynamic loading is widely involved in
engineering, in which crack initiation, propagation and coalescence are typical phenomena …

The eXtended Finite Element Method (XFEM) is implemented to model the effect of the
mechanical and thermal shocks on a body with a stationary crack. The classical …

In the present work, three different enrichment schemes are proposed in conjunction with
XFEM to investigate the dynamic response of cracked structures. In the proposed …

This paper deals with the numerical modelling of cracks in the dynamic case using the
extended finite element method. More precisely, we are interested in explicit algorithms. We …