Phase-field modeling of fracture
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 …
and structures. Prevention of cracking-induced failure is, therefore, a major concern in …
The phase field method for geometric moving interfaces and their numerical approximations
This chapter surveys recent numerical advances in the phase field method for geometric
surface evolution and related geometric nonlinear partial differential equations (PDEs) …
surface evolution and related geometric nonlinear partial differential equations (PDEs) …
Crack nucleation in variational phase-field models of brittle fracture
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 …
are widely used methods for the numerical simulation of crack propagation in brittle …
A phase-field formulation for fracture in ductile materials: Finite deformation balance law derivation, plastic degradation, and stress triaxiality effects
Phase-field models have been a topic of much research in recent years. Results have
shown that these models are able to produce complex crack patterns in both two and three …
shown that these models are able to produce complex crack patterns in both two and three …
A primal-dual active set method and predictor-corrector mesh adaptivity for computing fracture propagation using a phase-field approach
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 …
purpose is the development of a robust and efficient numerical scheme. To enforce crack …
Pressure and fluid-driven fracture propagation in porous media using an adaptive finite element phase field model
This work presents phase field fracture modeling in heterogeneous porous media. We
develop robust and efficient numerical algorithms for pressure-driven and fluid-driven …
develop robust and efficient numerical algorithms for pressure-driven and fluid-driven …
A phase-field method for propagating fluid-filled fractures coupled to a surrounding porous medium
The recently introduced phase-field approach for pressurized fractures in a porous medium
offers various attractive computational features for numerical simulations of cracks such as …
offers various attractive computational features for numerical simulations of cracks such as …
On penalization in variational phase-field models of brittle fracture
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 …
both the variational approach to fracture by Francfort and Marigo (1998) and its regularized …
[BOOK][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 …
and adaptive concepts to deal with fracture phenomena in multiphysics. State-of-the-art …
Modified Newton methods for solving fully monolithic phase-field quasi-static brittle fracture propagation
T Wick - Computer Methods in Applied Mechanics and …, 2017 - Elsevier
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 …
monolithic quasi-static brittle phase-field fracture propagation. In variational phase-field …