Phase-field modeling of fracture

JY Wu, VP Nguyen, CT Nguyen, D Sutula… - Advances in applied …, 2020 - Elsevier
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 …

A review on phase-field models of brittle fracture and a new fast hybrid formulation

M Ambati, T Gerasimov, L De Lorenzis - Computational Mechanics, 2015 - Springer
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 …

Crack nucleation in variational phase-field models of brittle fracture

E Tanné, T Li, B Bourdin, JJ Marigo… - Journal of the Mechanics …, 2018 - Elsevier
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 …

A phase-field description of dynamic brittle fracture

MJ Borden, CV Verhoosel, MA Scott… - Computer Methods in …, 2012 - Elsevier
In contrast to discrete descriptions of fracture, phase-field descriptions do not require
numerical tracking of discontinuities in the displacement field. This greatly reduces …

A higher-order phase-field model for brittle fracture: Formulation and analysis within the isogeometric analysis framework

MJ Borden, TJR Hughes, CM Landis… - Computer Methods in …, 2014 - Elsevier
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 …

A primal-dual active set method and predictor-corrector mesh adaptivity for computing fracture propagation using a phase-field approach

T Heister, MF Wheeler, T Wick - Computer Methods in Applied Mechanics …, 2015 - Elsevier
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 …

A comparative review of peridynamics and phase-field models for engineering fracture mechanics

P Diehl, R Lipton, T Wick, M Tyagi - Computational Mechanics, 2022 - Springer
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 …

A line search assisted monolithic approach for phase-field computing of brittle fracture

T Gerasimov, L De Lorenzis - Computer Methods in Applied Mechanics and …, 2016 - Elsevier
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 …

On penalization in variational phase-field models of brittle fracture

T Gerasimov, L De Lorenzis - Computer Methods in Applied Mechanics and …, 2019 - Elsevier
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 …

[图书][B] Multiphysics phase-field fracture: modeling, adaptive discretizations, and solvers

T Wick - 2020 - books.google.com
This monograph is centered on mathematical modeling, innovative numerical algorithms
and adaptive concepts to deal with fracture phenomena in multiphysics. State-of-the-art …