Multi-phase-field modeling of anisotropic crack propagation for polycrystalline materials

[1]  Julien Réthoré,et al.  Phase field modelling of anisotropic crack propagation , 2017 .

[2]  J. Knap,et al.  Phase Field Modeling and Simulation of Coupled Fracture and Twinning in Single Crystals and Polycrystals , 2016 .

[3]  Julien Yvonnet,et al.  Initiation and propagation of complex 3D networks of cracks in heterogeneous quasi-brittle materials: Direct comparison between in situ testing-microCT experiments and phase field simulations , 2016 .

[4]  Jean-François Witz,et al.  Influence of pores on crack initiation in monotonic tensile and cyclic loadings in lost foam casting A319 alloy by using 3D in-situ analysis , 2016 .

[5]  N. T. Tung,et al.  A PHASE FIELD METHOD FOR MODELLING STRESS CORROSION CRACKS PROPAGATION IN A NICKEL BASE ALLOY , 2016 .

[6]  T. T. Nguyen,et al.  On the choice of parameters in the phase field method for simulating crack initiation with experimental validation , 2016, International Journal of Fracture.

[7]  Julien Yvonnet,et al.  A phase-field method for computational modeling of interfacial damage interacting with crack propagation in realistic microstructures obtained by microtomography , 2016 .

[8]  Thanh Tung Nguyen,et al.  Modeling of complex microcracking in cement based materials by combining numerical simulations based on a phase-field method and experimental 3D imaging , 2015 .

[9]  Julien Yvonnet,et al.  A phase field method to simulate crack nucleation and propagation in strongly heterogeneous materials from direct imaging of their microstructure , 2015 .

[10]  Bin Li,et al.  Phase‐field modeling and simulation of fracture in brittle materials with strongly anisotropic surface energy , 2015 .

[11]  John D. Clayton,et al.  Phase Field Modeling of Directional Fracture in Anisotropic Polycrystals , 2015 .

[12]  I. Ahmad,et al.  Elastic constants of cubic crystals , 2014 .

[13]  A. Aguilar-Elguezabal,et al.  Fracture behaviour of α-Al2O3 ceramics reinforced with a mixture of single-wall and multi-wall carbon nanotubes , 2014 .

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

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

[16]  Michael J. Borden,et al.  Isogeometric analysis of phase-field models for dynamic brittle and ductile fracture , 2012 .

[17]  W. Ludwig,et al.  Three-dimensional in situ observations of short fatigue crack growth in magnesium , 2011 .

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

[19]  Michael Herbig,et al.  3-D growth of a short fatigue crack within a polycrystalline microstructure studied using combined diffraction and phase-contrast X-ray tomography , 2011 .

[20]  Shaofan Li,et al.  Application of Multiscale Cohesive Zone Model to Simulate Fracture in Polycrystalline Solids , 2011 .

[21]  Christian Miehe,et al.  A phase field model for rate-independent crack propagation: Robust algorithmic implementation based on operator splits , 2010 .

[22]  Carsten Konke,et al.  Polycrystal models for the analysis of intergranular crack growth in metallic materials , 2009 .

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

[24]  G. Cailletaud,et al.  Simulation of inter- and transgranular crack propagation in polycrystalline aggregates due to stress corrosion cracking , 2009 .

[25]  Cv Clemens Verhoosel,et al.  Modelling inter- and transgranular fracture in piezoelectric polycrystals , 2009 .

[26]  M. Zivkovic,et al.  Extended Finite Element Method for Two-dimensional Crack Modeling , 2008 .

[27]  M. H. Aliabadi,et al.  A boundary cohesive grain element formulation for modelling intergranular microfracture in polycrystalline brittle materials , 2007 .

[28]  J. Molinari,et al.  Micromechanical finite element modeling of compressive fracture in confined alumina ceramic , 2006 .

[29]  Carlos Armando Duarte,et al.  A Generalized Finite Element Method for polycrystals with discontinuous grain boundaries , 2006 .

[30]  T. Zhai,et al.  The grain boundary geometry for optimum resistance to growth of short fatigue cracks in high strength Al-alloys , 2005 .

[31]  L. Anand,et al.  Grain-boundary sliding and separation in polycrystalline metals: application to nanocrystalline fcc metals , 2004 .

[32]  T. Baker,et al.  Brittle fracture in polycrystalline microstructures with the extended finite element method , 2003 .

[33]  Horacio Dante Espinosa,et al.  A grain level model for the study of failure initiation and evolution in polycrystalline brittle materials. Part II: Numerical examples , 2003 .

[34]  H. Espinosa,et al.  A grain level model for the study of failure initiation and evolution in polycrystalline brittle materials. Part I: Theory and numerical implementation , 2003 .

[35]  H. V. Swygenhoven,et al.  Intergranular fracture in nanocrystalline metals , 2002 .

[36]  Andrea Braides.  Γ-convergence for beginners , 2002 .

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

[38]  Angus J. Wilkinson,et al.  A crystallographic mechanism for fatigue crack propagation through grain boundaries , 2000 .

[39]  T. Belytschko,et al.  A finite element method for crack growth without remeshing , 1999 .

[40]  Andrea Braides.  Approximation of Free-Discontinuity Problems , 1998 .

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

[42]  Mehl,et al.  Pressure dependence of the elastic moduli in aluminum-rich Al-Li compounds. , 1992, Physical review. B, Condensed matter.

[43]  Xiaopeng Xu,et al.  Void nucleation by inclusion debonding in a crystal matrix , 1993 .

[44]  G. D. Maso,et al.  An Introduction to-convergence , 1993 .

[45]  I. Baker,et al.  Observation of 〈001〉 dislocations and a mechanism for transgranular fracture on {001} in FeAl , 1991 .

[46]  D. Mumford,et al.  Optimal approximations by piecewise smooth functions and associated variational problems , 1989 .

[47]  G. Was,et al.  The mechanism of intergranular cracking of Ni-Cr-Fe alloys in sodium tetrathionate , 1987, Metallurgical and Materials Transactions A.

[48]  Anthony G. Evans,et al.  Crack deflection processes—I. Theory , 1983 .

[49]  Hideki Aoki,et al.  Mechanical properties of sintered hydroxyapatite for prosthetic applications , 1981 .

[50]  D. S. Dugdale.  Yielding of steel sheets containing slits , 1960 .

[51]  G. I. Barenblatt.  The formation of equilibrium cracks during brittle fracture. General ideas and hypotheses. Axially-symmetric cracks , 1959 .