, Grain-size effect in viscoplastic polycrystals at moderate strains, Journal of the Mechanics and Physics of Solids, vol.48, issue.10, pp.2213-2230, 2000.
DOI : 10.1016/S0022-5096(00)00013-2
, Applications: packaging: beverage cans, 2009.
, A computational procedure for rate-independent crystal plasticity, Journal of the Mechanics and Physics of Solids, vol.44, issue.4, pp.525-558, 1996.
DOI : 10.1016/0022-5096(96)00001-4
, Modeling the evolution of crystallographic dislocation density in crystal plasticity, Journal of the Mechanics and Physics of Solids, vol.50, issue.9, pp.1979-2009, 2001.
DOI : 10.1016/S0022-5096(01)00134-X
, On the accuracy of the predictions of texture evolution by the finite element technique for fcc polycrystals, Materials Science and Engineering: A, vol.257, issue.1, pp.108-117, 1998.
DOI : 10.1016/S0921-5093(98)00828-4
, Efficient Management of Parallelism in Object-Oriented Numerical Software Libraries, Modern Software Tools in Scientific Computing, pp.163-202, 1997.
DOI : 10.1007/978-1-4612-1986-6_8
, Intergranular and intragranular behavior of polycrystalline aggregates. Part 1: F.E. model, International Journal of Plasticity, vol.17, issue.4, pp.513-536, 2001.
DOI : 10.1016/S0749-6419(00)00061-9
, Intergranular and intragranular behavior of polycrystalline aggregates.Part 2: Results, International Journal of Plasticity, vol.17, issue.4, pp.537-563, 2001.
DOI : 10.1016/S0749-6419(00)00062-0
, The structure of aluminum after compression, 1940.
, Crystal level simulations using Eulerian finite element methods, AIP Conference Proceedings, pp.1624-1629, 2004.
DOI : 10.1063/1.1766762
, Plastic Flow of Crystals, Advances in applied mechanics, pp.191-258, 1994.
DOI : 10.1016/S0065-2156(08)70175-3
, Incompatibility and a simple gradient theory of plasticity, Journal of the Mechanics and Physics of Solids, vol.49, issue.9, pp.1983-1996, 2001.
DOI : 10.1016/S0022-5096(01)00037-0
, Modelling deformation microstructure with the crystal plasticity finite-element method, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.357, issue.1756, pp.1589-1601, 1999.
DOI : 10.1098/rsta.1999.0391
, Finite Element Procedures, 1996.
, Influence of thermo-mechanical treatments on the stored energy simulated by FEM for two low carbon steels, ICOTOM 14: Textures of Materials, pts 1 and 2 of Materials Science forum, pp.495-497, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00019031
, A hybrid finite element formulation for polycrystal plasticity with consideration of macrostructural and microstructural linking, International Journal of Plasticity, vol.11, issue.5, pp.501-521, 1995.
DOI : 10.1016/S0749-6419(99)80003-5
, Development Of Numerical Tools For The Multiscale Modelling Of Recrystallization In Metals, Based On A Digital Material Framework, AIP Conference Proceedings, pp.142-149, 2007.
DOI : 10.1063/1.2740840
URL : https://hal.archives-ouvertes.fr/hal-00572234
, Development Of Numerical Tools For The Multiscale Modelling Of Recrystallization In Metals, Based On A Digital Material Framework, AIP Conference Proceedings, pp.375-380, 2007.
DOI : 10.1063/1.2740840
URL : https://hal.archives-ouvertes.fr/hal-00572234
, Finite element model of primary recrystallization in polycrystalline aggregates using a level set framework, Modelling and Simulation in Materials Science and Engineering, vol.17, issue.6, p.64006, 2009.
DOI : 10.1088/0965-0393/17/6/064006
URL : https://hal.archives-ouvertes.fr/hal-00508362
, An extension of the self-consistent scheme to plastically-flowing polycrystals, Journal of the Mechanics and Physics of Solids, vol.26, issue.5-6, pp.325-344, 1979.
DOI : 10.1016/0022-5096(78)90003-0
, 3D polycrystalline microstructure reconstruction from FIB generated serial sections for FE analysis, Computational Materials Science, vol.41, issue.2, pp.222-235, 2007.
DOI : 10.1016/j.commatsci.2007.04.007
, Evolution of Grain-Scale Microstructure during Large Strain Simple Compression of Polycrystalline Aluminium, Key Engineering Materials, vol.177, issue.180, p.158, 2001.
DOI : 10.4028/www.scientific.net/KEM.177-180.183
, XLVI. A theory of the plastic distortion of a polycrystalline aggregate under combined stresses., The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, vol.72, issue.327, pp.414-417, 1951.
DOI : 10.1098/rspa.1923.0023
, 3D reconstruction of microstructure in a commercial purity aluminum, Scripta Materialia, vol.55, issue.1, pp.75-80, 2006.
DOI : 10.1016/j.scriptamat.2006.02.017
, Mixed and hybrid finite elements methods, 1991.
DOI : 10.1007/978-1-4612-3172-1
, Investigating the limits of polycrystal plasticity modeling, International Journal of Plasticity, vol.21, issue.2, pp.221-249, 2005.
DOI : 10.1016/j.ijplas.2003.10.009
, Theoretical predictions of plastic strains of polycrystals, Proceedings -U.S. National Congress of Mechanics, pp.1175-1185, 1962.
, On the selection of active slip systems in crystal plasticity, International Journal of Plasticity, vol.21, issue.11, pp.2212-2231, 2005.
DOI : 10.1016/j.ijplas.2005.03.019
URL : https://hal.archives-ouvertes.fr/hal-00154559
, Gradient-dependent deformation of two-phase single crystals, Journal of the Mechanics and Physics of Solids, vol.48, issue.11, pp.2333-2361, 2000.
DOI : 10.1016/S0022-5096(00)00006-5
, Une approche microm??canique du comportement des polycristaux, Revue de Physique Appliqu??e, vol.23, issue.4, 1987.
DOI : 10.1051/rphysap:01988002304035300
, Some elements of microstructural mechanics, Computational Materials Science, vol.27, issue.3, pp.351-374, 2003.
DOI : 10.1016/S0927-0256(03)00041-7
, A novel computer simulation technique for modeling grain growth, Scripta Metallurgica et Materialia, vol.32, issue.1, pp.115-120, 1995.
DOI : 10.1016/S0956-716X(99)80022-3
, Phase-Field Models for Microstructure Evolution, Annual Review of Materials Research, vol.32, issue.1, pp.113-140, 2002.
DOI : 10.1146/annurev.matsci.32.112001.132041
, Discrete dislocation density modelling of single phase FCC polycrystal aggregates, Acta Materialia, vol.52, issue.19, pp.5665-5675, 2004.
DOI : 10.1016/j.actamat.2004.08.044
, A study of microstructural length scale effects on the behaviour of FCC polycrystals using strain gradient concepts, International Journal of Plasticity, vol.21, issue.9, pp.1797-1814, 2005.
DOI : 10.1016/j.ijplas.2004.11.001
, CAD-based reconstruction of 3D polycrystalline alloy microstructures from FIB generated serial sections, Computer-Aided Design, vol.40, issue.3, pp.293-310, 2008.
DOI : 10.1016/j.cad.2007.11.003
, Disorientations and coincidence rotations for cubic lattices, Acta Crystallographica Section A, vol.30, issue.6, pp.685-688, 1974.
DOI : 10.1107/S0567739474001719
, A framework for automated analysis and simulation of 3D polycrystalline microstructures.Part 1: Statistical characterization, Acta Materialia, vol.56, issue.6, pp.1257-1273, 2008.
DOI : 10.1016/j.actamat.2007.11.041
, A framework for automated analysis and simulation of 3D polycrystalline microstructures. Part 2: Synthetic structure generation???, Acta Materialia, vol.56, issue.6, pp.1274-1278, 2008.
DOI : 10.1016/j.actamat.2007.11.040
, Fracture mechanics, chapter Micromechanics and homogenization, 2006.
, 3D tetrahedral, unstructured and anisotropic mesh generation with adaptation to natural and multidomain metric, Computer Methods in Applied Mechanics and Engineering, vol.194, issue.48-49, pp.4951-4976, 2005.
DOI : 10.1016/j.cma.2004.11.020
URL : https://hal.archives-ouvertes.fr/hal-00517639
, A unified treatment of strain gradient plasticity, Journal of the Mechanics and Physics of Solids, vol.52, issue.6, pp.1379-1406, 2004.
DOI : 10.1016/j.jmps.2003.11.002
, A fast serial algorithm for the finite temperature quenched Potts model, Computers in Physics, vol.7, issue.1, pp.97-107, 1993.
DOI : 10.1063/1.168481
, Continuum micro-mechanics of elastoplastic polycrystals, Journal of the Mechanics and Physics of Solids, vol.13, issue.2, pp.89-101, 1965.
DOI : 10.1016/0022-5096(65)90023-2
, The essential structure of constitutive laws for metal composites and polycrystals, Journal of the Mechanics and Physics of Solids, vol.15, issue.2, pp.79-92, 1967.
DOI : 10.1016/0022-5096(67)90018-X
, The mechanics of crystals and textured polycrystals, 1993.
, A conventional theory of mechanism-based strain gradient plasticity, International Journal of Plasticity, vol.20, issue.4-5, pp.753-782, 2004.
DOI : 10.1016/j.ijplas.2003.08.002
, Scaling of microstructural parameters: Misorientations of deformation induced boundaries, Acta Materialia, vol.45, issue.1, pp.105-112, 1997.
DOI : 10.1016/S1359-6454(96)00153-X
, Recrystallization and related annealing phenomena, 2004.
, Bounds and Self-Consistent Estimates for Creep of Polycrystalline Materials, Proceedings -Royal Society of London A, pp.101-127, 1976.
DOI : 10.1098/rspa.1976.0027
, Creep and plasticity of hexagonal polycrystals as related to single crystal slip, Metallurgical Transactions A, vol.18, issue.9, pp.1465-1469, 1977.
DOI : 10.1007/BF02642860
, LATENT HARDENING AND THE FLOW STRESS IN COPPER SINGLE CRYSTALS, Canadian Journal of Physics, vol.45, issue.2, pp.707-735, 1967.
DOI : 10.1139/p67-055
, Modélisation tridimensionnelle par éléments finis pour l'analyse thermomécanique du refroidissement des pièces coulées, 1998.
, Detailed analyses of grainscale plastic deformation in columnar polycrystalline aluminium using orientation image mapping and crystal plasticity models, Proceedings -Royal Society of London A. Mathematical , physical and engineering sciences, pp.1935-1956, 2004.
, Crystallographic texture evolution in bulk deformation processing of FCC metals, Journal of the Mechanics and Physics of Solids, vol.40, issue.3, pp.537-569, 1992.
DOI : 10.1016/0022-5096(92)80003-9
, Phase-Field Formulation for Quantitative Modeling of Alloy Solidification, Physical Review Letters, vol.87, issue.11, pp.115701-115704, 2001.
DOI : 10.1103/PhysRevLett.87.115701
, Continuum Theory of Plasticity, 1995.
, Non-destructive analysis of micro texture and grain boundary character from x-ray diffraction contrast tomography. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with, ):291 ? 296. X-ray Techniques for Advanced Materials, Nanostructures and Thin Films: from Laboratory Sources to Synchrotron Radiation -Proceedings of the EMRS 2009 Spring Meeting -Symposium R, 2010.
, Rate-independent crystalline and polycrystalline plasticity, application to FCC materials, International Journal of Plasticity, vol.16, issue.2, pp.179-198, 2000.
DOI : 10.1016/S0749-6419(99)00071-6
URL : https://hal.archives-ouvertes.fr/hal-00536865
, Kinematics and kinetics of plasticity, Texture and anisotropy, 1998.
, Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations, Journal of Computational Physics, vol.79, issue.1, pp.12-49, 1988.
DOI : 10.1016/0021-9991(88)90002-2
, Direct observation of orientation change by channel die compression of polycrystalline aluminum -use of a split sample, 1996.
, Orientation inhomogeneities within individual grains in cold-rolled aluminium resolved by electron backscatter diffraction, Materials Science and Engineering: A, vol.483, issue.484, pp.483-484668, 2008.
DOI : 10.1016/j.msea.2006.08.139
, Assessment of crystal plasticity based calculation of the lattice spin of polycrystalline metals for FE implementation, International Journal of Plasticity, vol.17, issue.6, pp.819-836, 2001.
DOI : 10.1016/S0749-6419(00)00070-X
, An analysis of nonuniform and localized deformation in ductile single crystals, Acta Metallurgica, vol.30, issue.6, pp.1087-1119, 1982.
DOI : 10.1016/0001-6160(82)90005-0
, Material rate dependence and localized deformation in crystalline solids, Acta Metallurgica, vol.31, issue.12, pp.1951-1976, 1983.
DOI : 10.1016/0001-6160(83)90014-7
, Lattice rotations of individual bulk grains, Acta Materialia, vol.51, issue.13, pp.3821-3830, 2003.
DOI : 10.1016/S1359-6454(03)00206-4
, Orientation library: a collection of routines for orientation manipulation, 2008.
, Suivi de microtextures dans l'aluminium en grandes déformations à chaud, 2009.
, Introduction of a scalable three-dimensional cellular automaton with a probabilistic switching rule for the discrete mesoscale simulation of recrystallization phenomena, Philosophical Magazine A, vol.191, issue.10, pp.2339-2358, 1999.
DOI : 10.4028/www.scientific.net/MSF.273-275.169
, Coupling of a crystal plasticity finite-element model with a probabilistic cellular automaton for simulating primary static recrystallization in aluminium, Modelling and Simulation in Materials Science and Engineering, vol.8, issue.4, pp.445-462, 2000.
DOI : 10.1088/0965-0393/8/4/304
, Numerical modelling of plastic deformation and subsequent primary recrystallization in a polycrystalline volume element, based on a level set framework, WCCM8-ECCOMAS, 2008.
, Adaptive mesh refinement in crystal plasticity finite element simulations of large deformations in polycrystalline aggregates, ICOTOM 15, 2008.
, Adaptive mesh refinement and automatic remeshing in crystal plasticity finite element simulations, Modelling and Simulation in Materials Science and Engineering, vol.17, issue.7, p.17075012, 2009.
DOI : 10.1088/0965-0393/17/7/075012
URL : https://hal.archives-ouvertes.fr/hal-00509476
, Sensitivity to grain discretization of the simulated crystal stress distributions in FCC polycrystals, Modelling and Simulation in Materials Science and Engineering, vol.17, issue.1, p.15001, 2009.
DOI : 10.1088/0965-0393/17/1/015001
, Three-Dimensional Characterization of Microstructure by Electron Back-Scatter Diffraction, Annual Review of Materials Research, vol.37, issue.1, pp.627-658, 2007.
DOI : 10.1146/annurev.matsci.37.052506.084401
, Overview of modeling and simulation of recrystallization, Progress in Materials Science, vol.42, issue.1-4, pp.79-99, 1997.
DOI : 10.1016/S0079-6425(97)00008-X
, A hybrid model for mesoscopic simulation of recrystallization, Computational Materials Science, vol.21, issue.1, pp.69-78, 2001.
DOI : 10.1016/S0927-0256(00)00216-0
, A novel approach for anisotropic hardening modeling. Part I: Theory and its application to finite element analysis of deep drawing, International Journal of Plasticity, vol.25, issue.12, pp.2383-2409, 2009.
DOI : 10.1016/j.ijplas.2009.04.002
URL : https://hal.archives-ouvertes.fr/hal-00509789
, Zur Ableitung einer Flie??bedingung, Zeitschrift des Vereins deutscher Ingenieure, pp.734-736, 1928.
DOI : 10.1007/978-3-642-92045-5_12
, Effects of interactions among crystals on the inhomogeneous deformations of polycrystals, Acta Materialia, vol.44, issue.5, pp.1937-1953, 1996.
DOI : 10.1016/1359-6454(95)00309-6
, Mesoscale Modeling of Microstructure and Texture Evolution During Deformation Processing of Metals, Advanced Engineering Materials, vol.9, issue.7, pp.509-514, 2002.
DOI : 10.1002/1527-2648(20020717)4:7<509::AID-ADEM509>3.0.CO;2-8
, Finite element simulations of cold deformation at the mesoscale, Computational Materials Science, vol.12, issue.2, pp.105-123, 1998.
DOI : 10.1016/S0927-0256(98)00036-6
, Numerical concepts for rate-independent single crystal plasticity, Computer Methods in Applied Mechanics and Engineering, vol.192, issue.11-12, pp.1261-1280, 2003.
DOI : 10.1016/S0045-7825(02)00563-7
, Level Set methods, 1996.
, Computational continuum mechanics, 2008.
DOI : 10.1017/cbo9781139059992
, Computational inelasticity, 1998.
, A Level Set Approach for Computing Solutions to Incompressible Two-Phase Flow, Journal of Computational Physics, vol.114, issue.1, pp.146-159, 1994.
DOI : 10.1006/jcph.1994.1155
, Mapping grains and their dynamics in three dimensions, Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, vol.246, issue.1, pp.232-237, 2006.
DOI : 10.1016/j.nimb.2005.12.046
, Plastic strain in metals, Journal of the Institute of Metals, vol.62, pp.307-324, 1938.
, Deformation texture prediction: from the Taylor model to the advanced Lamel model, International Journal of Plasticity, vol.21, issue.3, pp.589-624, 2005.
DOI : 10.1016/j.ijplas.2004.04.011
, Quantitative Prediction of Cold Rolling Textures in Low-Carbon
Steel by Means of the Lamel Model, Textures and Microstructures, vol.31, issue.3, pp.109-149, 1999.
DOI : 10.1155/TSM.31.109
, Taylor-type homogenization methods for texture and anisotropy, Continuum Scale Simulation of Engineering Materials, 2004.
, A Variational Level Set Approach to Multiphase Motion, Journal of Computational Physics, vol.127, issue.1, pp.179-195, 1996.
DOI : 10.1006/jcph.1996.0167
, Influence of in-grain mesh resolution on the prediction of deformation textures in fcc polycrystals by crystal plasticity FEM, Acta Materialia, vol.55, issue.7, pp.2361-2373, 2007.
DOI : 10.1016/j.actamat.2006.11.035
, A review of microstructural computer models used to simulate grain growth and recrystallisation in aluminium alloys A hybrid model for mesoscopic simulation of recrystallization Introduction of a scaleable 3D cellular automaton with a probabilistic switching rule for the discrete mesoscale simulation of recrystallization phenomena Chen, A novel computer simulation technique for modeling grain growth, Scripta Metall A variational level set approach to multiphase motion, Table A.1: Equivalent quaternions under cubic symmetry References Hassold and E.A. Holm, A fast serial algorithm for the finite temperature quenched Potts model, Comput. Phys, pp.125-135, 1993.
, Phase-field models for microstructure evolution Phase-field formulation for quantitative modelling of alloy solidification Computer simulation of 3-D grain growth using a phase-field model [12] J.A. Sethian, Level Set methods Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations Sussman, A Level Set Approach for Computing Solutions to Incompressible Two-Phase Flow Motion of Multiple Junctions: A Level Set Approach Chastel, Coupling the thermal and mechanical fields to metallurgical evolutions within a finite element description of a forming process An Accelerated Methodology for the Evaluation of Critical Properties in Polyphase Alloys, Progress in Mat. Sci17] P.R. Dawson, Computational crystal plasticity Raabe and R.C. Decker, Coupling of a crystal plasticity finite element model with a probabilistic cellular automaton for simulating primary static recrystallization in aluminium, Model. Simul. Mater. Sci. Eng Etude expérimentale et analyse numérique de l'influence des hétérogénéités induites par la déformation à froid sur la recristallisation primaire d'un acier IF-Ti, pp.79-99, 1985.
, Influence of thermomechanical treatments on the stored energy simulated by FEM for two low carbon steels Monte Carlo modeling of low carbon steel recrystallization: role of thermo-mechanical treatment and chemical composition Strategies of transport of microstructural variables for remeshing ? application to texture induced mechanical anisotropy in metals Using Lagrangian particles to efficiently describe microstructure evolution in metal forming ? application to textureinduced mechanical anisotropy, Modelling Simul, IF steel aggregate during large plane strain compression Pt. 2 Digonnet, H. Resk, T. Coupez and R.E. Logé, Development of numerical tools for the multiscale modelling of recrystallization in metals, based on a digital material framework Brechet and J. Lepinoux, A vertex simulation of grain growth in 2D and 3D, Adv. Engng. Mater, pp.1763-1788, 2001.
, 3D reconstruction of microstructure in a commercial purity aluminum Génération et Adaptation de maillage par optimisation locale Parallel meshing and remeshing by repartitioning Toward large scale F.E. computation of hot forging process using iterative solvers, parallel computation and multigrid algorithms Texture development and strain hardening in rate dependent polycrystals, Acta Metall Crystallographic texture evolution in bulk deformation processing of FCC metals A hybrid finite element formulation for polycrystal plasticity with consideration of macrostructural and microstructural linking On modeling the elastic-plastic response of polycrystalline materials Finite element modeling of crystal plasticity with grains shaped as truncated octahedrons [38] P. Van Houtte, A comprehensive mathematical formulation of an extended Taylor-Bishop- Hill model featuring relaxed constraints, the Renouard-Wintenberger theory and a strain rate sensitivity model, Textures microstr Creep and plasticity of hexagonal polycrystals as related to single crystal slip, 501-521. [36] Chenot, L. Fourment, K. Mocellin, Numerical treatment of contact and friction in FE simulation of forming processes, J. Mater. Process. Technol Sarma, B. Radhakrishnan and T. Zacharia, Finite element simulations of cold deformation at the mesoscale. [42] F.J. Humphreys, M. Hatherly, Recrystallization and Related Annealing Phenomena, pp.410-438, 1969.
, Study of the influence of initial microstructure topology on the kinetics of static recrystallization using a cellular automata model Level set framework for the numerical modelling of primary recrystallization in polycrystalline materials Three-phase boundary motions under constant velocities. I: The vanishing surface tension limit, Proc. Roy. Soc. Edinburgh 126A 416. [48] M. Avrami 1103. [49] A.B. Kolmogorov, Akad. Nauk SSSR 355. [50] M. Oyarzabal, A. Matrinez-de-Guerenu, I. Gutierrez, Effect of stored energy and recovery on the overall recrystallization kinetics of a cold rolled low carbon steel, pp.75-84, 1937.
, Experimental investigations into kinetics of recrystallisation of cold rolled nickel Competition between recovery and recrystallization, 2263. [55] F. Liu, G. Yang, Effects of anisotropic growth on the deviations from Johnson-Mehl-Avrami kinetics, pp.1273-1276, 1989.
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