A transition scheme from diffusive to discrete crack topologies at finite strain during the course of a staggered iterative procedure

Variational crack phase-field model for ductile fracture with elastic and plastic damage variables

(2022) Jike Han et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

An explicit representation of cracks in the variational phase field method for brittle fractures

(2021) Liang Yang et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A hybrid FEMM-Phase field method for fluid-driven fracture propagation in three dimension

(2020) Yuan Sun et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

A ductile phase-field model based on degrading the fracture toughness: Theory and implementation at small strain

(2020) Bo Yin et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A combined adaptive phase field and discrete cutting method for the prediction of crack paths

(2020) Ali Hussein et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A phase field numerical manifold method for crack propagation in quasi-brittle materials

(2020) Liang Yang et al.   ENGINEERING FRACTURE MECHANICS

An optimization-based phase-field method for continuous-discontinuous crack propagation

(2018) Rudy J.M. Geelen et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

A length scale insensitive phase-field damage model for brittle fracture

(2018) Jian-Ying Wu et al.   JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS

Iterative coupling of flow, geomechanics and adaptive phase-field fracture including level-set crack width approaches

(2017) Sanghyun Lee et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

A unified phase-field theory for the mechanics of damage and quasi-brittle failure

(2017) Jian-Ying Wu   JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS

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 approach to fracture coupled with diffusion

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

From diffuse damage to sharp cohesive cracks: A coupled XFEM framework for failure analysis of quasi-brittle materials

(2016) Yongxiang Wang et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Phase field modeling of ductile fracture at finite strains: A variational gradient-extended plasticity-damage theory

(2016) Christian Miehe et al.   INTERNATIONAL JOURNAL OF PLASTICITY

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 numerical assessment of phase-field models for brittle and cohesive fracture: Γ-Convergence and stress oscillations

(2015) Stefan May et al.   EUROPEAN JOURNAL OF MECHANICS A-SOLIDS

A medial-axis-based model for propagating cracks in a regularised bulk

(2015) Elena Tamayo-Mas et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Gradient damage models coupled with plasticity: Variational formulation and main properties

(2015) Roberto Alessi et al.   MECHANICS OF MATERIALS

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

The Hitchhiker's Guide to the Virtual Element Method

(2014) L. Beirão da Veiga et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Morphogenesis and Propagation of Complex Cracks Induced by Thermal Shocks

(2014) Blaise Bourdin et al.   PHYSICAL REVIEW LETTERS

Basic principles of mixed Virtual Element Methods

(2013) F. Brezzi et al.   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

A phase-field model for cohesive fracture

(2013) Clemens V. Verhoosel et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

A phase-field description of dynamic brittle fracture

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

Phase-field modeling of crack propagation in piezoelectric and ferroelectric materials with different electromechanical crack conditions

(2012) Amir Abdollahi et al.   JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS

Convergence of a gradient damage model toward a cohesive zone model

(2010) Eric Lorentz et al.   COMPTES RENDUS MECANIQUE

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

Gradient damage models: Toward full-scale computations

(2010) E. Lorentz et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A level set based model for damage growth: The thick level set approach

(2010) N. Moës et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN 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

EXISTENCE OF SOLUTIONS TO A REGULARIZED MODEL OF DYNAMIC FRACTURE

(2010) CHRISTOPHER J. LARSEN et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

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