Linear and nonlinear solvers for variational phase-field models of brittle fracture

Phase-field modeling of brittle and ductile fracture in shells with isogeometric NURBS-based solid-shell elements

(2016) Marreddy Ambati et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

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

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

A fracture-controlled path-following technique for phase-field modeling of brittle fracture

(2016) N. Singh et al.   FINITE ELEMENTS IN ANALYSIS AND DESIGN

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

Anisotropic Mesh Adaptation for Crack Detection In Brittle Materials

(2015) Marco Artina et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

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

(2014) Marreddy Ambati et al.   COMPUTATIONAL MECHANICS

Phase field approximation of dynamic brittle fracture

(2014) Alexander Schlüter et al.   COMPUTATIONAL MECHANICS

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

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

Phase-field modeling and simulation of fracture in brittle materials with strongly anisotropic surface energy

(2014) Bin Li et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

A geometrically nonlinear phase field theory of brittle fracture

(2014) J. D. Clayton et al.   INTERNATIONAL JOURNAL OF FRACTURE

A variational model for fracture and debonding of thin films under in-plane loadings

(2014) A.A. León Baldelli et al.   JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS

Effective toughness of heterogeneous media

(2014) M.Z. Hossain et al.   JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS

Morphogenesis and Propagation of Complex Cracks Induced by Thermal Shocks

(2014) Blaise Bourdin et al.   PHYSICAL REVIEW LETTERS

A phase-field model for cohesive fracture

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

Initiation of a periodic array of cracks in the thermal shock problem: A gradient damage modeling

(2013) Paul Sicsic et al.   JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS

Phase-field modeling of fracture in linear thin shells

(2013) F. Amiri et al.   THEORETICAL AND APPLIED FRACTURE MECHANICS

A study of the mechanism of formation and numerical simulations of crack patterns in ceramics subjected to thermal shock

(2012) C.P. Jiang et al.   ACTA MATERIALIA

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

From the onset of damage to rupture: construction of responses with damage localization for a general class of gradient damage models

(2011) Kim Pham et al.   CONTINUUM MECHANICS AND THERMODYNAMICS

The issues of the uniqueness and the stability of the homogeneous response in uniaxial tests with gradient damage models

(2011) Kim Pham et al.   JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS

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

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

Gradient Damage Models and Their Use to Approximate Brittle Fracture

(2010) Kim Pham et al.   INTERNATIONAL JOURNAL OF DAMAGE MECHANICS

A time-discrete model for dynamic fracture based on crack regularization

(2010) Blaise Bourdin et al.   INTERNATIONAL JOURNAL OF FRACTURE

Regularized variational theories of fracture: A unified approach

(2010) Francesco Freddi et al.   JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS

Preconditioning discretizations of systems of partial differential equations

(2010) Kent-Andre Mardal et al.   NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS

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

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

The Variational Approach to Fracture Mechanics. A Practical Application to the French Panthéon in Paris

(2009) Giovanni Lancioni et al.   JOURNAL OF ELASTICITY

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

Laws of crack motion and phase-field models of fracture

(2008) Vincent Hakim et al.   JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS