Thermoelastic properties of microcracked polycrystals. Part I: Adequacy of Fourier-based methods for cracked elastic bodies

[1]  D. Jeulin,et al.  The thermoelastic response of cracked polycrystals with hexagonal symmetry , 2018, Philosophical Magazine.

[2]  Yang-Shiau Chen Damage mechanisms in SiC/SiC composite tubes : three-dimensional analysis coupling tomography imaging and numerical simulation , 2017 .

[3]  S. Levasseur,et al.  A microcracks-induced damage model for initially anisotropic rocks accounting for microcracks closure , 2015 .

[4]  F. Willot,et al.  Fourier-based schemes for computing the mechanical response of composites with accurate local fields , 2014, 1412.8398.

[5]  Songhe Meng,et al.  A non-local fracture model for composite laminates and numerical simulations by using the FFT method , 2012 .

[6]  V. monchiet,et al.  A micromechanical approach of crack-induced damage in orthotropic media: Application to a brittle matrix composite , 2012 .

[7]  Radhi Abdelmoula,et al.  A damage model for crack prediction in brittle and quasi-brittle materials solved by the FFT method , 2012, International Journal of Fracture.

[8]  J. Shao,et al.  A micromechanics-based thermodynamic formulation of isotropic damage with unilateral and friction effects , 2011 .

[9]  Noël Challamel,et al.  A variationally based nonlocal damage model to predict diffuse microcracking evolution , 2010 .

[10]  L. Dormieux,et al.  Stress-based estimates and bounds of effective elastic properties: The case of cracked media with unilateral effects , 2009 .

[11]  André Dragon,et al.  Modelling of quasi-brittle behaviour: a discrete approach coupling anisotropic damage growth and frictional sliding , 2008 .

[12]  F. Willot,et al.  Fast Fourier Transform computations and build-up of plastic deformation in 2D, elastic-perfectly plastic, pixelwise disordered porous media , 2008, 0802.2488.

[13]  D. Kondo,et al.  Micromechanics of anisotropic brittle damage: comparative analysis between a stress based and a strain based formulation , 2003 .

[14]  Hélène Welemane,et al.  A critical review of some damage models with unilateral effect , 2002 .

[15]  Hervé Moulinec,et al.  A computational scheme for linear and non‐linear composites with arbitrary phase contrast , 2001 .

[16]  Graeme W. Milton,et al.  A fast numerical scheme for computing the response of composites using grid refinement , 1999 .

[17]  B. Karihaloo,et al.  On the solution of doubly periodic array of cracks , 1997 .

[18]  Jacques Besson,et al.  Large scale object-oriented finite element code design , 1997 .

[19]  B. L. Karihaloo,et al.  Doubly periodic arrays of bridged cracks and short fibre-reinforced cementitious composites , 1996 .

[20]  Mark Kachanov,et al.  Effective Elastic Properties of Cracked Solids: Critical Review of Some Basic Concepts , 1992 .

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

[22]  Michael Ortiz,et al.  A constitutive theory for the inelastic behavior of concrete , 1985 .

[23]  J. R. Bristow Microcracks, and the static and dynamic elastic constants of annealed and heavily cold-worked metals , 1960 .

[24]  M. Williams,et al.  On the Stress Distribution at the Base of a Stationary Crack , 1956 .

[25]  P. Yan,et al.  Micromechanistic modelling of the polycrystalline response of graphite under temperature changes and irradiation , 2016 .

[26]  F. Cormery,et al.  A stress-based macroscopic approach for microcracks unilateral effect , 2010 .

[27]  Valery M. Levin,et al.  Effective elastic properties of matrix composites with transversely-isotropic phases , 2005 .

[28]  K. X. Hu,et al.  Elastic moduli of a microcracked composite with spherical inclusions of cubic anisotropy , 1994 .

[29]  H. Moulinec,et al.  A fast numerical method for computing the linear and nonlinear mechanical properties of composites , 1994 .

[30]  Jean-Jacques Marigo,et al.  Un modèle de matériau microfissuré pour les bétons et les roches , 1986 .

[31]  H. G. Delorenzi Energy release rate calculations by the finite element method , 1985 .

[32]  Sia Nemat-Nasser,et al.  Overall moduli of solids with microcracks: Load-induced anisotropy , 1983 .

[33]  Toshio Mura,et al.  Micromechanics of defects in solids , 1982 .

[34]  Alan Hoenig,et al.  Elastic moduli of a non-randomly cracked body , 1979 .

[35]  B. Budiansky,et al.  Elastic moduli of a cracked solid , 1976 .