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

[1]  Daniel Guilbaud,et al.  Gradient damage modeling of brittle fracture in an explicit dynamics context , 2016 .

[2]  Cv Clemens Verhoosel,et al.  Gradient damage vs phase-field approaches for fracture: Similarities and differences , 2016 .

[3]  Patrick E. Farrell,et al.  Linear and nonlinear solvers for variational phase‐field models of brittle fracture , 2015, 1511.08463.

[4]  Ralf Müller,et al.  On degradation functions in phase field fracture models , 2015 .

[5]  Christian Miehe,et al.  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 .

[6]  René de Borst,et al.  A numerical assessment of phase-field models for brittle and cohesive fracture: Γ-Convergence and stress oscillations , 2015 .

[7]  Laura De Lorenzis,et al.  A review on phase-field models of brittle fracture and a new fast hybrid formulation , 2015 .

[8]  M. Focardi,et al.  Phase field approximation of cohesive fracture models , 2014, 1405.6883.

[9]  Thomas J. R. Hughes,et al.  A higher-order phase-field model for brittle fracture: Formulation and analysis within the isogeometric analysis framework , 2014 .

[10]  Cv Clemens Verhoosel,et al.  Phase-field models for brittle and cohesive fracture , 2014 .

[11]  Cv Clemens Verhoosel,et al.  A phase‐field model for cohesive fracture , 2013 .

[12]  Jean-Jacques Marigo,et al.  From Gradient Damage Laws to Griffith’s Theory of Crack Propagation , 2013 .

[13]  Christian Miehe,et al.  A phase field model of dynamic fracture: Robust field updates for the analysis of complex crack patterns , 2013 .

[14]  R. Gracie,et al.  Cohesive and non‐cohesive fracture by higher‐order enrichment of XFEM , 2012 .

[15]  Jian-Ying Wu,et al.  Unified analysis of enriched finite elements for modeling cohesive cracks , 2011 .

[16]  Eric Lorentz,et al.  Gradient damage models: Toward full-scale computations , 2011 .

[17]  J. Marigo,et al.  Gradient Damage Models and Their Use to Approximate Brittle Fracture , 2011 .

[18]  Christopher J. Larsen,et al.  A time-discrete model for dynamic fracture based on crack regularization , 2011 .

[19]  Ralf Müller,et al.  A continuum phase field model for fracture , 2010 .

[20]  Christian Miehe,et al.  Thermodynamically consistent phase‐field models of fracture: Variational principles and multi‐field FE implementations , 2010 .

[21]  A. Karma,et al.  Phase field modeling of crack propagation , 2010, 1001.4350.

[22]  J. Remacle,et al.  Gmsh: A 3‐D finite element mesh generator with built‐in pre‐ and post‐processing facilities , 2009 .

[23]  Jean-Jacques Marigo,et al.  Regularized formulation of the variational brittle fracture with unilateral contact: Numerical experiments , 2009 .

[24]  Vincent Hakim,et al.  Laws of crack motion and phase-field models of fracture , 2008, 0806.0593.

[25]  B. Bourdin,et al.  The Variational Approach to Fracture , 2008 .

[26]  S. Eckardt,et al.  Modelling of cohesive crack growth in concrete structures with the extended finite element method , 2007 .

[27]  Günther Meschke,et al.  Crack propagation criteria in the framework of X‐FEM‐based structural analyses , 2007 .

[28]  A. Karma,et al.  Phase-field model of mode III dynamic fracture. , 2001, Physical review letters.

[29]  B. Bourdin,et al.  Numerical experiments in revisited brittle fracture , 2000 .

[30]  I. Aranson,et al.  Continuum field description of crack propagation , 2000, Physical review letters.

[31]  Jayant Shah,et al.  Free-discontinuity problems via functionals involving the L1-norm of the gradient and their approximations , 1999 .

[32]  Adriana Garroni,et al.  Variational Formulation of Softening Phenomena in Fracture Mechanics: The One‐Dimensional Case , 1999 .

[33]  Gilles A. Francfort,et al.  Revisiting brittle fracture as an energy minimization problem , 1998 .

[34]  M. Jirásek,et al.  ANALYSIS OF ROTATING CRACK MODEL , 1998 .

[35]  Rhj Ron Peerlings,et al.  Gradient enhanced damage for quasi-brittle materials , 1996 .

[36]  M. Frémond,et al.  Damage, gradient of damage and principle of virtual power , 1996 .

[37]  Z. Bažant,et al.  Nonlocal damage theory , 1987 .

[38]  Y. R. Rashid,et al.  Ultimate strength analysis of prestressed concrete pressure vessels , 1968 .

[39]  D. Ngo,et al.  Finite Element Analysis of Reinforced Concrete Beams , 1967 .

[40]  F. Iurlano,et al.  Numerical insight of a variational smeared approach to cohesive fracture , 2017 .

[41]  L. Ambrosio,et al.  Functions of Bounded Variation and Free Discontinuity Problems , 2000 .

[42]  M. Negri The anisotropy introduced by the mesh in the finite element approximation of the mumford-shah functional , 1999 .

[43]  J. C. Simo,et al.  Strain- and stress-based continuum damage models—I. Formulation , 1987 .

[44]  H. W. Reinhardt,et al.  Experimental determination of crack softening characteristics of normalweight and lightweight concrete , 1986 .

[45]  LSU Digital Commons LSU Digital Commons Morphogenesis and propagation of complex cracks induced by Morphogenesis and propagation of complex cracks induced by thermal shocks thermal shocks , 2022 .