Phase-field method, as a powerful and popular approach to predict the mesoscale
microstructure evolution in various materials science, provides a bridge from atomic-scale …

We investigate the potential of quasi-Newton methods in facilitating convergence of
monolithic solution schemes for phase field fracture modelling. Several paradigmatic …

The phase field paradigm, in combination with a suitable variational structure, has opened a
path for using Griffith's energy balance to predict the fracture of solids. These so-called …

We present a gradient-based theoretical framework for predicting hydrogen assisted fracture
in elastic-plastic solids. The novelty of the model lies in the combination of:(i) stress-assisted …

We present a phase field formulation for fracture in functionally graded materials (FGMs).
The model builds upon homogenization theory and accounts for the spatial variation of …

We present a new phase field framework for modelling fracture and fatigue in Shape
Memory Alloys (SMAs). The constitutive model captures the superelastic behaviour of SMAs …

We present a simple and robust implementation of the phase field fracture method in
Abaqus. Unlike previous works, only a user material (UMAT) subroutine is used. This is …

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 …

We present a new phase-field formulation for the formation and propagation of a compaction
band in high-porosity rocks. Novel features of the proposed formulation include (a) the …

Fracture of viscoelastic solids plays an important role in many applications but it is not yet
well understood. In addition to the time and rate dependent response of viscoelastic …