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 …

Phase field models have become a promising tool in modelling failure processes for various
engineering applications. However, their computational inefficiency has posed challenges …

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

Despite the versatility in modeling complex crack configurations, phase-field damage
models for fracture usually count only on in-house codes, greatly restricting their potential …

In this work, the phase-field approach to fracture is extended to model fatigue failure in high-
and low-cycle regime. The fracture energy degradation due to the repeated externally …

We present a new theoretical and numerical phase field-based formulation for predicting
hydrogen-assisted fatigue. The coupled deformation-diffusion-damage model presented …

Phase field modelling for fracture has been extended from elastic solids to elasto-plastic
solids. In this study, we present the implementation procedures of a staggered scheme for …

The phase field method has gathered significant attention in the past decade due to its
versatile applications in engineering contexts, including fatigue crack propagation modeling …

This work addresses an efficient neural network (NN) representation for the phase-field
modeling of isotropic brittle fracture. In recent years, data-driven approaches, such as neural …

Phase field fracture models have seen widespread application in the last decade. Among
these applications, its use to model the evolution of fatigue cracks has attracted particular …