Mapped phase field method for brittle fracture

SciPy 1.0: fundamental algorithms for scientific computing in Python

(2020) Pauli Virtanen et al.   NATURE METHODS

On penalization in variational phase-field models of brittle fracture

(2019) T. Gerasimov et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Variational h-adaption method for the phase field approach to fracture

(2019) Yihuan Li et al.   INTERNATIONAL JOURNAL OF FRACTURE

The successive node snapping scheme for an evolving branched curve in 2D and 3D

(2019) Yang Wan et al.   COMPUTER-AIDED DESIGN

A hybrid adaptive finite element phase‐field method for quasi‐static and dynamic brittle fracture

(2019) Fucheng Tian et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

An adaptive multiscale phase field method for brittle fracture

(2018) R.U. Patil et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Moving mesh finite element simulation for phase-field modeling of brittle fracture and convergence of Newton's iteration

(2018) Fei Zhang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

The successive node snapping scheme: A method to obtain conforming meshes for an evolving curve in 2D and 3D

(2018) Yang Wan et al.   FINITE ELEMENTS IN ANALYSIS AND DESIGN

Mapped finite element methods: High-order approximations of problems on domains with cracks and corners

(2017) Maurizio M. Chiaramonte et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Phase field modeling of fracture in anisotropic brittle solids

(2017) S. Teichtmeister et al.   INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS

Goal functional evaluations for phase-field fracture using PU-based DWR mesh adaptivity

(2016) Thomas Wick   COMPUTATIONAL MECHANICS

A phase-field formulation for fracture in ductile materials: Finite deformation balance law derivation, plastic degradation, and stress triaxiality effects

(2016) Michael J. Borden et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A phase-field method for computational modeling of interfacial damage interacting with crack propagation in realistic microstructures obtained by microtomography

(2016) T.T. Nguyen et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Abaqus implementation of phase-field model for brittle fracture

(2015) Mohammed A. Msekh et al.   COMPUTATIONAL MATERIALS SCIENCE

Phase-field modeling of ductile fracture

(2015) M. Ambati et al.   COMPUTATIONAL MECHANICS

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

(2015) Timo Heister et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Phase field modeling of fracture in multi-physics problems. Part II. Coupled brittle-to-ductile failure criteria and crack propagation in thermo-elastic–plastic solids

(2015) C. Miehe et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Phase field modeling of fracture in multi-physics problems. Part I. Balance of crack surface and failure criteria for brittle crack propagation in thermo-elastic solids

(2015) Christian Miehe et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

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

(2014) Marreddy Ambati et al.   COMPUTATIONAL MECHANICS

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

(2014) Michael J. Borden et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Thermodynamically consistent algorithms for a finite-deformation phase-field approach to fracture

(2014) C. Hesch et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Simulating curvilinear crack propagation in two dimensions with universal meshes

(2014) Ramsharan Rangarajan et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

An augmented-Lagrangian method for the phase-field approach for pressurized fractures

(2013) M.F. Wheeler et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Phase field modeling of fracture in rubbery polymers. Part I: Finite elasticity coupled with brittle failure

(2013) Christian Miehe et al.   JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS

A phase-field description of dynamic brittle fracture

(2012) Michael J. Borden et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

AN ADAPTIVE FINITE ELEMENT APPROXIMATION OF A GENERALIZED AMBROSIO–TORTORELLI FUNCTIONAL

(2012) SIOBHAN BURKE et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

A phase field model for rate-independent crack propagation: Robust algorithmic implementation based on operator splits

(2010) Christian Miehe et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Thermodynamically consistent phase-field models of fracture: Variational principles and multi-field FE implementations

(2010) C. Miehe et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

An Adaptive Finite Element Approximation of a Variational Model of Brittle Fracture

(2010) Siobhan Burke et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Regularized formulation of the variational brittle fracture with unilateral contact: Numerical experiments

(2009) Hanen Amor et al.   JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS

The Variational Approach to Fracture

(2008) Blaise Bourdin et al.   JOURNAL OF ELASTICITY