Dislocations in Solids, 1986. ,
A model of crystal plasticity based on the theory of continuously distributed dislocations, Journal of the Mechanics and Physics of Solids, vol.49, issue.4, pp.761-784, 2001. ,
DOI : 10.1016/S0022-5096(00)00060-0
Driving forces and boundary conditions in continuum dislocation mechanics, Proc. R. Soc, pp.459-1343, 2003. ,
DOI : 10.1098/rspa.2002.1095
Size effects and idealized dislocation microstructure at small scales: Predictions of a Phenomenological model of Mesoscopic Field Dislocation Mechanics: Part I, Journal of the Mechanics and Physics of Solids, vol.54, issue.8, pp.1687-1710, 2006. ,
DOI : 10.1016/j.jmps.2006.01.009
Staggered grids for 3d pseudospectral modelling in anisotropic elastic media. Unpublished, 2002. ,
A comparison of dislocation induced back stress formulations in strain gradient crystal plasticity, International Journal of Solids and Structures, vol.43, issue.24, pp.7268-7286, 2006. ,
DOI : 10.1016/j.ijsolstr.2006.05.011
Phase-field modeling of bimodal microstructures in nickel-based superalloys, Acta Materialia, vol.57, issue.3, pp.921-931, 2009. ,
DOI : 10.1016/j.actamat.2008.10.039
Phase-field simulations with inhomogeneous elasticity: Comparison with an atomic-scale method and application to superalloys, Acta Materialia, vol.58, issue.12, 2010. ,
DOI : 10.1016/j.actamat.2010.04.008
FFT-based methods for the mechanics of composites: A general variational framework, Computational Materials Science, vol.49, issue.3, pp.663-671, 2010. ,
DOI : 10.1016/j.commatsci.2010.06.009
URL : https://hal.archives-ouvertes.fr/hal-00722339
Modélisation numérique des écoulements compressibles. link, 5, 2007. ,
Second-order homogenization estimates for nonlinear composites incorporating field fluctuations: I?theory, Journal of the Mechanics and Physics of Solids, 2002. ,
Andrade creep, Philosophical Magazine Letters, vol.73, issue.1, pp.35-37, 1995. ,
DOI : 10.1080/095008396181082
Strain hardening in Andrade creep, Philosophical Magazine Letters, vol.74, issue.5, pp.375-379, 1996. ,
DOI : 10.1080/095008396180119
Logarithmic and Andrade creep, Philosophical Magazine Letters, vol.75, issue.5, pp.301-307, 1997. ,
DOI : 10.1080/095008397179552
A microscopic theory of Andrade creep, Philosophical Magazine Letters, vol.84, issue.11, pp.685-689, 2004. ,
DOI : 10.1088/0370-1301/66/6/303
A phase field model incorporating strain gradient viscoplasticity: Application to rafting in Ni-base superalloys, Journal of the Mechanics and Physics of Solids, vol.60, issue.7, pp.1243-1256, 2012. ,
DOI : 10.1016/j.jmps.2012.04.003
URL : https://hal.archives-ouvertes.fr/hal-00701166
Modélisation du champ de phase du couplage entre évolution microstucturale et propriétés mécaniques, 2013. ,
Phase field study of acicular growth: Role of elasticity in Widmanst??tten structure, Acta Materialia, vol.72, pp.200-210, 2014. ,
DOI : 10.1016/j.actamat.2014.03.045
R??le of elastic inhomogeneity in the development of cuboidal microstructures in Ni-based superalloys, Acta Materialia, vol.94, pp.15-25, 2015. ,
DOI : 10.1016/j.actamat.2015.04.034
Plastic relaxation during diffusion-controlled growth of Widmanst??tten plates, Scripta Materialia, vol.108, pp.117-121, 2015. ,
DOI : 10.1016/j.scriptamat.2015.06.032
Interaction dislocations -joints de grains en déformation plastique monotone : étude expérimentale et modélisations numériques, 2012. ,
Physical analyses of crystal plasticity by DD simulations, Scripta Materialia, vol.54, issue.5, pp.741-746, 2005. ,
DOI : 10.1016/j.scriptamat.2005.10.066
URL : https://hal.archives-ouvertes.fr/hal-00019068
Dislocation Mean Free Paths and Strain Hardening of Crystals, Science, vol.320, issue.5884, pp.1745-1748, 2008. ,
DOI : 10.1126/science.1156101
Extended modelling of dislocation transport-fomulation and finite element implementation, Adv. Model. and Simul. in Eng. Sci ,
Non-local crystal plasticity model with intrinsic SSD and GND effects, Journal of the Mechanics and Physics of Solids, vol.52, issue.10, 2004. ,
DOI : 10.1016/j.jmps.2004.03.007
A fast numerical scheme for computing the response of composites using grid refinement, The European Physical Journal Applied Physics, vol.6, issue.1, pp.41-47, 1999. ,
DOI : 10.1051/epjap:1999150
Latent hardening in copper and aluminium single crystals, Acta Metallurgica, vol.28, issue.3, pp.273-283, 1979. ,
DOI : 10.1016/0001-6160(80)90162-5
An elasto-plastic theory of dislocation and disclination fields, International Journal of Solids and Structures, vol.48, issue.25-26, pp.48-3499, 2011. ,
DOI : 10.1016/j.ijsolstr.2011.09.002
URL : https://hal.archives-ouvertes.fr/hal-01501431
A field theory of distortion incompatibility for coupled fracture and plasticity, Journal of the Mechanics and Physics of Solids, vol.68, pp.68-113, 2014. ,
DOI : 10.1016/j.jmps.2014.03.009
URL : https://hal.archives-ouvertes.fr/hal-01503461
Computational Methods for Microstructure-Property Relationship, p.277, 2010. ,
The bowing of a dislocation segment, Philosophical Magazine, vol.116, issue.137, pp.1011-1021, 2012. ,
DOI : 10.1080/14786436408225418
Stress gradient continuum theory, Mechanics Research Communications, vol.40, issue.40, 2012. ,
DOI : 10.1016/j.mechrescom.2011.12.002
URL : https://hal.archives-ouvertes.fr/hal-00697585
Modélisation des effets de l'évolution microstructurale sur le comportement mécanique du superalliage monocristallin AM1, 2009. ,
Second-order crystal plasticity: internal stress effects and cyclic loading, Modelling and Simulation in Materials Science and Engineering, vol.15, issue.1, 2006. ,
DOI : 10.1088/0965-0393/15/1/S12
URL : http://repository.tue.nl/647451
Coupled glide-climb diffusion-enhanced crystal plasticity, Journal of the Mechanics and Physics of Solids, vol.70, pp.136-153, 2014. ,
DOI : 10.1016/j.jmps.2014.05.007
URL : https://hal.archives-ouvertes.fr/hal-01056876
Filtering material properties to improve FFT-based methods for numerical homogenization, Journal of Computational Physics, vol.294, pp.90-95, 2015. ,
DOI : 10.1016/j.jcp.2015.03.048
Investigation of coherency loss by prismatic punching with a nonlinear elastic model, Acta Materialia, vol.71, pp.80-88, 2014. ,
DOI : 10.1016/j.actamat.2014.03.005
Contribution à la modélisation champ de phase des dislocations. Thesis,U n i v e r s i t é Pierre et Marie Curie, 2013. ,
Microstructural topology effects on the onset of ductile failure in multi-phase materials ??? A systematic computational approach, International Journal of Solids and Structures, vol.67, issue.68, p.2015 ,
DOI : 10.1016/j.ijsolstr.2015.04.035
Size effects of dislocation patterning in fatigued metals, Acta Metallurgica et Materialia, vol.43, issue.7, pp.2849-2857, 1994. ,
DOI : 10.1016/0956-7151(94)00463-R
Link between the microscopic and mesoscopic length-scale description of the collective behavior of dislocations, Physical Review B, vol.56, issue.10, 1997. ,
DOI : 10.1103/PhysRevB.56.5807
Link between the individual and continuum approaches of the description of the collective behavior of dislocations, Materials Science and Engineering: A, vol.234, issue.236, pp.234-236, 1997. ,
DOI : 10.1016/S0921-5093(97)00150-0
Investigation of dislocation pattern formation in a two-dimensional self-consistent field approximation, Acta Materialia, vol.47, issue.13, pp.3647-3654, 1999. ,
DOI : 10.1016/S1359-6454(99)00215-3
Dislocation Patterning: From Micro- to Mesoscale Description, Physical Review Letters, vol.84, issue.7, 1999. ,
DOI : 10.1103/PhysRevLett.84.1487
Linking different scales: discrete, self-consistent field, and stochastic dislocation dynamics, Materials Science and Engineering: A, vol.309, issue.310, pp.309-310, 2001. ,
DOI : 10.1016/S0921-5093(00)01631-2
Origin of gradient terms in plasticity at different length scales, Scripta Materialia, vol.48, issue.2, pp.161-165, 2002. ,
DOI : 10.1016/S1359-6462(02)00339-1
Spatial correlations and higher-order gradient terms in a continuum description of dislocation dynamics, Acta Materialia, vol.51, issue.5, pp.51-1271, 2002. ,
DOI : 10.1016/S1359-6454(02)00517-7
Dynamics of coarse grained dislocation densities from an effective free energy, Philosophical Magazine, vol.5, issue.8-9, pp.1185-1199, 2007. ,
DOI : 10.1016/j.ijsolstr.2004.10.025
URL : https://hal.archives-ouvertes.fr/hal-00513722
Scale-Free Phase Field Theory of Dislocations, Physical Review Letters, vol.114, issue.1, 2014. ,
DOI : 10.1103/PhysRevLett.114.015503
URL : http://arxiv.org/abs/1404.6344
Submicron Plasticity: Yield Stress, Dislocation Avalanches, and Velocity Distribution, Physical Review Letters, vol.105, issue.8, p.85503, 2010. ,
DOI : 10.1103/PhysRevLett.105.085503
A variational approach to the theory of the elastic behaviour of multiphase materials, Journal of the Mechanics and Physics of Solids, vol.11, issue.2, pp.127-140, 1963. ,
DOI : 10.1016/0022-5096(63)90060-7
Linear and elastic???plastic fracture mechanics revisited by use of Fourier transforms ??? theory and application, Computational Materials Science, vol.16, issue.1-4, pp.1-4186, 1999. ,
DOI : 10.1016/S0927-0256(99)00061-0
A three-dimensional continuum theory of dislocation systems: kinematics and mean-field formulation, Philosophical Magazine, vol.87, issue.8-9, pp.1261-1282, 2007. ,
DOI : 10.1016/S0022-5096(01)00026-6
URL : https://hal.archives-ouvertes.fr/hal-00513758
Continuum dislocation dynamics: Towards a physical theory of crystal plasticity, Journal of the Mechanics and Physics of Solids, vol.63, pp.167-178, 2014. ,
DOI : 10.1016/j.jmps.2013.09.012
Infinite-contrast periodic composites with strongly nonlinear behavior: Effective-medium theory versus full-field simulations, International Journal of Solids and Structures, vol.46, issue.18-19, pp.18-193365, 2009. ,
DOI : 10.1016/j.ijsolstr.2009.05.009
URL : https://hal.archives-ouvertes.fr/hal-00412539
A simple model to account for the role of microtexture on fatigue and dwell fatigue lifetimes of titanium alloys, Scripta Materialia, vol.74, pp.68-71, 2013. ,
The probability distribution of internal stresses in externally loaded 2D dislocation systems, Journal of Statistical Mechanics: Theory and Experiment, vol.2008, issue.12, pp.1742-5468, 1088. ,
DOI : 10.1088/1742-5468/2008/12/P12009
Theory of Structural Transformations in Solids, 1983. ,
Physics and phenomenology of strain hardening: the FCC case, Progress in Materials Science, vol.48, issue.3, pp.171-273, 2002. ,
DOI : 10.1016/S0079-6425(02)00003-8
Allgemeine Kontinuumstheorie der Versetzungen, Arch. Rational Mech. Anal, vol.4, 1959. ,
Soviet Phys, Zh. Eksper. Fiz, vol.42, issue.152, pp.15-108, 1962. ,
Toward a physical model for strain hardening in ccc crystals, Materials Science and engineering, pp.483-484, 2007. ,
Modeling dislocation storage rates and mean free paths in face-centered cubic crystals, Acta Materialia, vol.56, issue.20, 2008. ,
DOI : 10.1016/j.actamat.2008.08.012
Dynamic recovery and its orientation dependence in facecentered cubic crystals, Acta Materialia, vol.57, 2009. ,
DOI : 10.1016/j.actamat.2009.02.013
Dislocations, Mesoscale Simulations and Plastic Flow, 2013. ,
DOI : 10.1093/acprof:oso/9780198525011.001.0001
Low energy dislocation structures produced by cyclic deformation, Materials Science and Engineering, vol.81, pp.433-450, 1986. ,
Theory of Elasticity, 1970. ,
Numerical Methods for Conservation Laws, Lectures in Mathematics ETH Zürich, 1992. ,
High-Resolution Simulation of Multidimensional Crystal Growth Industrial & Engineering Chemistry Research, pp.41-6217, 2002. ,
A computational scheme for linear and non???linear composites with arbitrary phase contrast, International Journal for Numerical Methods in Engineering, vol.58, issue.12, pp.139-160, 2001. ,
DOI : 10.1002/nme.275
Dislocation Jamming and Andrade Creep, Physical Review Letters, vol.89, issue.16, 2002. ,
DOI : 10.1103/PhysRevLett.89.165501
URL : http://arxiv.org/abs/cond-mat/0205217
Numerical homogenization of nonlinear composites with a polarization-based FFT iterative scheme, Computational Materials Science, vol.79, pp.276-283, 2013. ,
DOI : 10.1016/j.commatsci.2013.04.035
URL : https://hal.archives-ouvertes.fr/hal-01165818
A FFT-Based Numerical Method for Computing the Mechanical Properties of Composites from Images of their Microstructures, IUTAM Symposium on Microstructure- Property Interactions in Composite Materials, pp.235-246, 1995. ,
DOI : 10.1007/978-94-011-0059-5_20
A numerical method for computing the overall response of nonlinear composites with complex microstructure, Computer Methods in Applied Mechanics and Engineering, vol.157, issue.1-2, pp.69-94, 1998. ,
DOI : 10.1016/S0045-7825(97)00218-1
URL : https://hal.archives-ouvertes.fr/hal-01282728
Comparison of three accelerated FFT-based schemes for computing the mechanical response of composite materials, International Journal for Numerical Methods in Engineering, vol.42, issue.2, pp.960-985, 2014. ,
DOI : 10.1002/nme.4614
URL : https://hal.archives-ouvertes.fr/hal-00787089
Dislocations in solids The elastic theory. F. R. N. Nabarro,C r y s t a l dislocations and the theory of the elasticity, 1979. ,
Some geometrical relations in dislocated crystals, Acta Metallurgica, vol.1, issue.2, pp.153-162, 1953. ,
DOI : 10.1016/0001-6160(53)90054-6
Finite element approximation of field dislocation mechanics Journal of the Mechanics and Physics of Solids, pp.143-170, 2005. ,
Size effects and idealized dislocation microstructure at small scales: Predictions of a Phenomenological model of Mesoscopic Field Dislocation Mechanics: Part II, Journal of the Mechanics and Physics of Solids, vol.54, issue.8, pp.1711-1743, 2006. ,
DOI : 10.1016/j.jmps.2006.01.012
Modeling the propagation of elastic waves using a modified finite-difference grid, Wave Motion, vol.31, issue.1, pp.77-92, 2000. ,
DOI : 10.1016/S0165-2125(99)00023-2
Continuum modeling of dislocation plasticity: Theory, numerical implementation, and validation by discrete dislocation simulations, Journal of Materials Research, vol.1224, issue.05, pp.623-632, 2011. ,
DOI : 10.1007/BF00248490
Numerical implementation of a 3D continuum theory of dislocation dynamics and application to micro-bending, Philosophical Magazine, vol.54, issue.27-28, pp.27-28, 2010. ,
DOI : 10.1016/j.scriptamat.2005.10.060
Computational homogenization of elasticity on a staggered grid, International Journal for Numerical Methods in Engineering, vol.43, issue.8, 1002. ,
DOI : 10.1002/nme.5008
The dislocation cell size and dislocation density in copper deformed at temperatures between 25 and 700??C, Acta Metallurgica, vol.20, issue.4, 1972. ,
DOI : 10.1016/0001-6160(72)90012-0
Work Hardening of Copper Single Crystals with Multiple Glide Orientations, Transactions of the Japan Institute of Metals, vol.16, issue.10, 1975. ,
DOI : 10.2320/matertrans1960.16.629
Grain boundary modeling using an elasto-plastic theory of dislocation and disclination fields, Journal of the Mechanics and Physics of Solids, vol.61, issue.2, pp.61-370, 2013. ,
DOI : 10.1016/j.jmps.2012.10.001
URL : https://hal.archives-ouvertes.fr/hal-01501431
Finite element simulation of the large elastoplastic deformation of multicrystals, MECAMAT'91, 1993. ,
On the Viscous Flow in Metals, and Allied Phenomena, Royal Society, Section A -Mathematical and Physical Sciences, 1910. ,
On non-local diffuse interface model for microstructure evolution of tin-lead solder, Journal of the Mechanics and Physics of Solids, pp.52-1763, 2004. ,
Phase field dependent viscoplastic behaviour of solder alloys, International Journal of Solids and Structures, vol.42, issue.9-10, pp.42-2533, 2005. ,
DOI : 10.1016/j.ijsolstr.2004.10.008
Strength of single crystal superalloys: from dislocation mechanisms to continuum micromechanics, 2009. ,
Fourier-based schemes for computing the mechanical response of composites with accurate local fields, Comptes Rendus M??canique, vol.343, issue.3, pp.232-245, 2015. ,
DOI : 10.1016/j.crme.2014.12.005
URL : https://hal.archives-ouvertes.fr/hal-01096757
Computational modelling of mesoscale dislocation patterning and plastic deformation of single crystals, Modelling and Simulation in Materials Science and Engineering, vol.23, issue.5, 2015. ,
DOI : 10.1088/0965-0393/23/5/055009
A comparison of a statistical-mechanics based plasticity model with discrete dislocation plasticity calculations, Journal of the Mechanics and Physics of Solids, vol.52, issue.2, pp.279-300, 2003. ,
DOI : 10.1016/S0022-5096(03)00094-2
Multiple slip in a strain-gradient plasticity model motivated by a statistical-mechanics description of dislocations, International Journal of Solids and Structures, vol.42, issue.11-12, pp.42-3375, 2004. ,
DOI : 10.1016/j.ijsolstr.2004.10.025
Fractal analysis of deformation-induced dislocation patterns, Acta Materialia, vol.47, issue.8, pp.2463-2476, 1999. ,
DOI : 10.1016/S1359-6454(99)00096-8
The flow stress of fractal dislocation arrangements, Materials Science and Engineering: A, vol.270, issue.2, pp.299-307, 1999. ,
DOI : 10.1016/S0921-5093(99)00270-1
Statistical dynamics of dislocation systems: The influence of dislocation-dislocation correlations, Physical Review B, vol.64, issue.22, 1103. ,
DOI : 10.1103/PhysRevB.64.224102
Some steps towards a continuum representation of 3D dislocation systems, Scripta Materialia, vol.54, issue.5, pp.717-721, 2005. ,
DOI : 10.1016/j.scriptamat.2005.10.060
Modelling size effects using 3D density-based dislocation dynamics, Philosophical Magazine, vol.80, issue.8-9, pp.1283-1306, 2007. ,
DOI : 10.1016/S0022-5096(00)00074-0
A staggered-grid finite-difference method with perfectly matched layers for poroelastic wave equations, The Journal of the Acoustical Society of America, vol.109, issue.6, pp.2571-2580, 2001. ,
DOI : 10.1121/1.1369783
Investigation of three-dimensional aspects of grain-scale plastic surface deformation of an aluminum oligocrystal, International Journal of Plasticity, vol.24, issue.12, pp.2278-2297, 2008. ,
DOI : 10.1016/j.ijplas.2008.01.002