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 …

In this contribution we address the issue of efficient finite element treatment for phase-field
modeling of brittle fracture. We start by providing an overview of the existing quasi-static and …

Phase-field models, sometimes referred to as gradient damage or smeared crack models,
are widely used methods for the numerical simulation of crack propagation in brittle …

Computational modeling of the initiation and propagation of complex fracture is central to the
discipline of engineering fracture mechanics. This review focuses on two promising …

In contrast to discrete descriptions of fracture, phase-field descriptions do not require
numerical tracking of discontinuities in the displacement field. This greatly reduces …

In this paper, we consider phase-field based fracture propagation in elastic media. The main
purpose is the development of a robust and efficient numerical scheme. To enforce crack …

Phase-field models based on the variational formulation for brittle fracture have recently
been gaining popularity. These models have proven capable of accurately and robustly …

Phase-field modeling of fracture phenomena in solids is a very promising approach which
has gained popularity within the last decade. However, within the finite element framework …

Irreversible evolution is one of the central concepts as well as implementation challenges of
both the variational approach to fracture by Francfort and Marigo (1998) and its regularized …

Our goal in this work is to develop and compare modified Newton methods for fully
monolithic quasi-static brittle phase-field fracture propagation. In variational phase-field …