Phase field fracture models have demonstrated great capacities in simulating crack
nucleation, propagation, branching, and joining in brittle and ductile materials subjected to …

Wear is one of the most fundamental topics in tribology and adhesive wear is argued as the
least avoidable wear type. Numerical techniques have allowed advances in more realistic …

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 …

We present a generalised phase field-based formulation for predicting fatigue crack growth
in metals. The theoretical framework aims at covering a wide range of material behaviour …

Constitutive modeling is the cornerstone of computational and structural mechanics. In a
finite element analysis, the constitutive model is encoded in the material subroutine, a …

In this work, an adaptive phase-field method is proposed for modeling fracture of
hyperelastic materials at large deformations. The adaptive mesh refinement is facilitated by …

The recently conceived gap test and its simulation revealed that the fracture energy Gf (or
Kc, Jcr) of concrete, plastic-hardening metals, composites, and probably most materials can …

Due to its computational robustness and versatility, the phase field fracture model has
become the preferred tool for predicting a wide range of cracking phenomena. However, in …

In the phase field model (PFM), fracture timing and direction are determined automatically by
the stationary condition of the system's potential, it is normally considered an advantage …

We present a phase field‐based framework for modelling fatigue damage in Shape Memory
Alloys (SMAs). The model combines, for the first time:(i) a generalized phase field …