An overview of the modelling of fracture by gradient damage models

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

(2016) Patrick Farrell 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

Anisotropic Mesh Adaptation for Crack Detection In Brittle Materials

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

Gradient Damage Models Coupled with Plasticity and Nucleation of Cohesive Cracks

(2014) Roberto Alessi et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

Phase field approximation of dynamic brittle fracture

(2014) Alexander Schlüter et al.   COMPUTATIONAL MECHANICS

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

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

A phase-field description of dynamic brittle fracture

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

From Gradient Damage Laws to Griffith’s Theory of Crack Propagation

(2012) Paul Sicsic et al.   JOURNAL OF ELASTICITY

Stability of Homogeneous States with Gradient Damage Models: Size Effects and Shape Effects in the Three-Dimensional Setting

(2012) K. Pham et al.   JOURNAL OF ELASTICITY

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

Approche variationnelle de l'endommagement : II. Les modèles à gradient

(2010) Kim Pham et al.   COMPTES RENDUS MECANIQUE

Approche variationnelle de l'endommagement : I. Les concepts fondamentaux

(2010) Kim Pham 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

A continuum phase field model for fracture

(2010) Charlotte Kuhn et al.   ENGINEERING FRACTURE MECHANICS

Gradient Damage Models and Their Use to Approximate Brittle Fracture

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

Crack Patterns in Ceramic Plates after Quenching

(2010) Yingfeng Shao et al.   JOURNAL OF THE AMERICAN CERAMIC SOCIETY

Regularized variational theories of fracture: A unified approach

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

Helical crack-front instability in mixed-mode fracture

(2010) Antonio J. Pons et al.   NATURE

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

Laws of crack motion and phase-field models of fracture

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