A coupled crystal plasticity -phase field formulation to describe microstructural evolution in polycrystalline aggregates during recrystallisation, 2009. ,
URL : https://hal.archives-ouvertes.fr/pastel-00533060
Approches expérimentales et multi-échelles des processus d'amorçage des fissures de fatigue sous chargements complexes, 2013. ,
Recent advances in sparse direct solvers, 22nd Conference on Structural Mechanics in Reactor Technology, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-01060301
Thermal systems modelling via singular value decomposition: direct and modular approach, Applied Mathematical Modelling, vol.23, issue.6, pp.447-468, 1999. ,
DOI : 10.1016/S0307-904X(98)10091-4
Numerical simplification method for statespace models of thermal systems, Numerical Heat Transfer Part B, vol.37, pp.201-225, 2000. ,
A priori reduction method for solving the two-dimensional Burgers??? equations, Applied Mathematics and Computation, vol.217, issue.15, pp.6671-6679, 2011. ,
DOI : 10.1016/j.amc.2011.01.065
URL : https://hal.archives-ouvertes.fr/hal-00585095
Circumventing Curse of Dimensionality in the Solution of Highly Multidimensional Models Encountered in Quantum Mechanics Using Meshfree Finite Sums Decomposition, Meshfree Methods for Partial Differential Equations IV, pp.1-17, 2008. ,
DOI : 10.1007/978-3-540-79994-8_1
URL : https://hal.archives-ouvertes.fr/hal-00289677
COUPLING FINITE ELEMENTS AND PROPER GENERALIZED DECOMPOSITIONS, International Journal for Multiscale Computational Engineering, vol.9, issue.1, pp.17-33, 2011. ,
DOI : 10.1615/IntJMultCompEng.v9.i1.30
URL : https://hal.archives-ouvertes.fr/hal-01500147
Proper generalized decomposition of time-multiscale models, International Journal for Numerical Methods in Engineering, vol.26, issue.6, pp.569-596, 2012. ,
DOI : 10.1002/nme.3331
URL : https://hal.archives-ouvertes.fr/hal-01007223
An error estimator for separated representations of highly multidimensional models, Computer Methods in Applied Mechanics and Engineering, vol.199, issue.25-28, pp.1872-1880, 2010. ,
DOI : 10.1016/j.cma.2010.02.012
URL : https://hal.archives-ouvertes.fr/hal-01004991
On the Convergence of a Greedy Rank-One Update Algorithm for??a??Class of Linear Systems, Archives of Computational Methods in Engineering, vol.21, issue.4, pp.473-486, 2010. ,
DOI : 10.1007/s11831-010-9048-z
URL : https://hal.archives-ouvertes.fr/hal-01007145
Reduction of the chemical master equation for gene regulatory networks using proper generalized decompositions, International Journal for Numerical Methods in Biomedical Engineering, vol.205, issue.5, pp.960-973, 2012. ,
DOI : 10.1002/cnm.2476
URL : https://hal.archives-ouvertes.fr/hal-01061274
A new family of solvers for some classes of multidimensional partial differential equations encountered in kinetic theory modeling of complex fluids, Journal of Non-Newtonian Fluid Mechanics, vol.139, issue.3, pp.153-176, 2006. ,
DOI : 10.1016/j.jnnfm.2006.07.007
URL : https://hal.archives-ouvertes.fr/hal-00287087
A new family of solvers for some classes of multidimensional partial differential equations encountered in kinetic theory modelling of complex fluids, Journal of Non-Newtonian Fluid Mechanics, vol.144, issue.2-3, pp.98-121, 2007. ,
DOI : 10.1016/j.jnnfm.2007.03.009
Solving parametric complex fluids models in rheometric flows, Journal of Non-Newtonian Fluid Mechanics, vol.165, issue.23-24, pp.1588-1601, 2010. ,
DOI : 10.1016/j.jnnfm.2010.08.006
URL : https://hal.archives-ouvertes.fr/hal-01007311
Non incremental strategies based on separated representations: applications in computational rheology, Communications in Mathematical Sciences, vol.8, issue.3, p.671, 2010. ,
DOI : 10.4310/CMS.2010.v8.n3.a4
URL : https://hal.archives-ouvertes.fr/hal-01007108
On the reduction of kinetic theory models related to finitely extensible dumbbells, Journal of Non-Newtonian Fluid Mechanics, vol.134, issue.1-3, pp.136-147, 2006. ,
DOI : 10.1016/j.jnnfm.2006.01.007
URL : https://hal.archives-ouvertes.fr/hal-00080838
On the space-time separated representation of integral linear viscoelastic models, Comptes Rendus M??canique, vol.343, issue.4, pp.247-263, 2015. ,
DOI : 10.1016/j.crme.2015.02.002
The proper generalized decomposition: a powerful tool for model reduction, International Journal of Material Forming, vol.33, issue.2, pp.89-102, 2010. ,
DOI : 10.1007/s12289-009-0647-x
approche des phénomènes cycliques par la méthode à grand incrément de temps, 1994. ,
Remeshing strategies for adaptive ALE analysis of strain localisation, European Journal of Mechanics - A/Solids, vol.19, issue.3, pp.447-467, 2000. ,
DOI : 10.1016/S0997-7538(00)00176-5
Reduced order controllers for spatially distributed systems via proper orthogonal decomposition. rapport technique, 1999. ,
DOI : 10.1137/s1064827599360091
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.34.8268
The dynamics of coherent structures in the wall region of a turbulent boundary layer, Journal of Fluid Mechanics, vol.192, pp.115-173, 1988. ,
Approches expérimentales et numériques de l'usinage assisté jet d'eau haute pression : étude des mécanismes d'usure et contribution à la modélisation multiphysiques de la coupe, École Nationale Supérieure d'Arts et Métiers, 2013. ,
Model Reduction for Heat Conduction with Radiative Boundary Conditions using the Modal Identification Method, Numerical Heat Transfer, Part B: Fundamentals, vol.2, issue.2, pp.107-130, 2007. ,
DOI : 10.1109/TMAG.2002.804815
URL : https://hal.archives-ouvertes.fr/hal-00162009
Finite Element Procedures in Engineering Analysis, Journal of Pressure Vessel Technology, vol.106, issue.4, 1982. ,
DOI : 10.1115/1.3264375
Crack tip displacements of microstructurally small surface cracks in single phase ductile polycrystals. Engng Fracture Mechanics, pp.185-207, 2003. ,
Polycrystal orientation distribution effects on microslip in high cycle fatigue, International Journal of Fatigue, vol.25, issue.1, pp.1087-1104, 2003. ,
DOI : 10.1016/S0142-1123(02)00057-9
Cadre d'approximation espace-temps pour le traitement d'hyper-problèmes. Master's thesis, ENS Cachan, 2010. ,
Modèle d'endommagement cyclique : Application à la fatigue des enrobés bitumineux, 2002. ,
A new large time increment algorithm for anisotropic plasticity, International Journal of Plasticity, vol.7, issue.1-2, pp.65-77, 1991. ,
DOI : 10.1016/0749-6419(91)90005-J
A large time increment method for elastoplastic problems, Eur.J.Mech, A/solids, vol.4, pp.257-275, 1989. ,
An effective computational tool for parametric studies and identification problems in materials mechanics, Computational Mechanics, vol.19, issue.6, pp.675-687, 2011. ,
DOI : 10.1007/s00466-011-0611-8
Analyse des structures mécaniques par la méthode des éléments finis, Ecole Polytechnique, département de Mécanique, majeure 2 SeISM, 2005. ,
Analyse des structures mécaniques par la méthode des éléments finis. Editions de l'Ecole Polytechnique, 2007. ,
Introduction à la méthode des éléments finis, 2003. ,
Adaptive remeshing for ductile fracture prediction in metal forming, Comptes Rendus M??canique, vol.330, issue.10, pp.709-716, 2002. ,
DOI : 10.1016/S1631-0721(02)01519-X
A Karhunen-Loeve Galerkin Technique with Shock Fitting for Optimization of a Blunt Body Geometry, 38th AIAA/ASME/SAE/ASEE Joint Propulsion Conference & Exhibit, 2002. ,
DOI : 10.2514/6.2002-3861
Zebulon, a finite element code for nonlinear material behaviour, Proc. Int. Conf. "New advances in structural computations, pp.2-5673, 1991. ,
Material Science and Engineering An Introduction, 1999. ,
Modélisation numérique des problèmes d'interfaces sable-pieu pour les très grands nombres de cycles : Developpement d'une méthode de sauts de cycles, 2010. ,
Méthodes numériques de représentation à variables séparées pour ma résolution des problèmes paramétriques en mécanique non-linéaire des structures, 2011. ,
Adaptive multi-analysis strategy for contact problems with friction, Computational Mechanics, vol.16, issue.1, pp.305-315, 2008. ,
DOI : 10.1007/s00466-007-0213-7
A non-incremental computational strategy for plastic or viscoplastic structures with unilateral contact, Computational Mechanics New Trends and, 1998. ,
A direct method on the evolution of ratchet limit, Journal of Pressure Vessel Technology, vol.132, 2010. ,
Finite Element Simulation of Multi Material Metal Forming, Procedia Engineering, vol.81, pp.2427-2432, 2014. ,
DOI : 10.1016/j.proeng.2014.10.345
URL : https://hal.archives-ouvertes.fr/hal-01110930
On the use of proper generalized decompositions for solving the multidimensional chemical master equation, Revue europ??enne de m??canique num??rique, vol.19, issue.1-3, pp.53-64, 2010. ,
DOI : 10.3166/ejcm.19.53-64
URL : https://hal.archives-ouvertes.fr/hal-01007161
Proper generalized decomposition of multiscale models, International Journal for Numerical Methods in Engineering, vol.197, issue.5, pp.1114-1132, 2010. ,
DOI : 10.1002/nme.2794
URL : https://hal.archives-ouvertes.fr/hal-01007222
Proper generalized decomposition of multiscale models, International Journal for Numerical Methods in Engineering, vol.197, issue.5, pp.8-91114, 2010. ,
DOI : 10.1002/nme.2794
URL : https://hal.archives-ouvertes.fr/hal-01007222
Recent advances and new challenges in the use of the proper generalized decomposition for solving multidimensionnal models, Archives of Computationnal Methods in Engineering, pp.1-24, 2010. ,
On the reduction of stochastic kinetic theory models of complex fluids, Modelling and Simulation in Materials Science and Engineering, vol.15, issue.6, pp.639-652, 2007. ,
DOI : 10.1088/0965-0393/15/6/004
URL : https://hal.archives-ouvertes.fr/hal-01476037
Proper generalized decomposition of multiscale models. The nanometric and micrometric scales of the structure and mechanics of materials revisited : An introduction to he challenges of fully deterministic numerical descriptions, pp.191-213, 2008. ,
DOI : 10.1002/nme.2794
URL : https://hal.archives-ouvertes.fr/hal-01007222
Alleviating mesh constraints: Model reduction, parallel time integration and high resolution homogenization, Computer Methods in Applied Mechanics and Engineering, vol.197, issue.5, pp.400-413, 2008. ,
DOI : 10.1016/j.cma.2007.07.022
URL : https://hal.archives-ouvertes.fr/hal-01004980
Alpha-nem and model reduction : two new and powerful numerical strategies for describe flows involving short fiber suspensions ,
URL : https://hal.archives-ouvertes.fr/hal-00020781
A large time increment approach for thermo-mechanical problems Advances in Engineering Software, pp.583-593, 1999. ,
A large time increment approach for cyclic viscoplasticity, International Journal of Plasticity, vol.9, issue.2, pp.141-157, 1993. ,
DOI : 10.1016/0749-6419(93)90026-M
A direct method for the solution of evolution problems, Comptes Rendus M??canique, vol.334, issue.5, pp.317-322, 2006. ,
DOI : 10.1016/j.crme.2006.02.007
URL : https://hal.archives-ouvertes.fr/hal-00111464
Réduction de dynamique par décomposition orthogonale aux valeurs propres (pod), Optimisation et Contrôle des Ecoulements et des Transferts, pp.12-17, 2006. ,
A large time increment approach for cyclic viscoplasticity, International Journal of Plasticity, vol.9, issue.2, pp.141-157, 1993. ,
DOI : 10.1016/0749-6419(93)90026-M
Réduction de modèle et simplification de l'intégration de loi de comportement pour la prévision de la durée de vie, 2013. ,
Efficiency of a pod-based reduced second-order adjoint model in 4d-var data assimililation, International Journal for Numerical Methods in Fluids, vol.53, issue.6, pp.985-1004, 2007. ,
A PGD-based homogenization technique for the resolution of nonlinear multiscale problems, Computer Methods in Applied Mechanics and Engineering, vol.267, pp.275-292, 2013. ,
DOI : 10.1016/j.cma.2013.08.009
URL : https://hal.archives-ouvertes.fr/hal-01403834
Méthode des éléments finis : élasticité plane, Master modélisation numérique et réalité virtuelle, 2011. ,
Fonctions de forme et points d'intégration des éléments finis. EDF recherche et développement, GNU FDL, 2013. ,
Svd and signal processing : algorithms, analysis and applications, 1988. ,
Evaluation of finite element based analysis of 3D multicrystalline aggregates plasticity, International Journal of Plasticity, vol.21, issue.4, pp.691-722, 2005. ,
DOI : 10.1016/j.ijplas.2004.05.017
URL : https://hal.archives-ouvertes.fr/hal-00165134
Direcy cyclic method for solder joint relibaility analysis, IMECE2006, 2006. ,
DOI : 10.1115/imece2006-13016
Proper general decomposition (PGD) for the resolution of Navier???Stokes equations, Journal of Computational Physics, vol.230, issue.4, pp.1387-1407, 2011. ,
DOI : 10.1016/j.jcp.2010.11.010
URL : https://hal.archives-ouvertes.fr/hal-01061383
Proper Generalized Decomposition method for incompressible Navier???Stokes equations with a spectral discretization, Applied Mathematics and Computation, vol.219, issue.15, pp.8145-8162, 2013. ,
DOI : 10.1016/j.amc.2013.02.022
URL : https://hal.archives-ouvertes.fr/hal-01062396
Réduction dimensionnelle de type PGF pour la résolution des écouement incompressibles, 2011. ,
A LATIN computational strategy for multiphysics problems: application to poroelasticity, International Journal for Numerical Methods in Engineering, vol.2, issue.10, pp.1489-1510, 2003. ,
DOI : 10.1002/nme.622
URL : https://hal.archives-ouvertes.fr/hal-00321790
A dislocation-based model for low-amplitude fatigue behaviour of face-centred cubic single crystals, Scripta Materialia, vol.58, issue.12, pp.1086-1089, 2008. ,
DOI : 10.1016/j.scriptamat.2008.02.027
Applied multivariate data analysis, 2001. ,
DOI : 10.1002/9781118887486
Trust-Region methods for flow control based on Reduced Order Modeling, 2001. ,
Introduction to computational plasticity, 2006. ,
A global model reduction approach for 3D fatigue crack growth with confined plasticity, Computer Methods in Applied Mechanics and Engineering, vol.200, issue.5-8, pp.5-8699, 2011. ,
DOI : 10.1016/j.cma.2010.08.018
URL : https://hal.archives-ouvertes.fr/hal-00938580
Design across length scales: a reduced-order model of polycrystal plasticity for the control of microstructure-sensitive material properties, Computer Methods in Applied Mechanics and Engineering, vol.193, issue.45-47, pp.5017-5034, 2004. ,
DOI : 10.1016/j.cma.2004.04.004
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
Estimation sur des bases orthogonales des propriétés thermiques de matériaux hétérogènes a propriétés constantes par morceaux, 2013. ,
Recent advances on the use of separated representations, International Journal for Numerical Methods in Engineering, vol.30, issue.1, pp.637-659, 2010. ,
DOI : 10.1002/nme.2710
Streamline upwind/Petrov-Galerkin-based stabilization of proper generalized decompositions for high-dimensional advection-diffusion equations, International Journal for Numerical Methods in Engineering, vol.59, issue.9, pp.1216-1232, 2013. ,
DOI : 10.1002/nme.4493
URL : https://hal.archives-ouvertes.fr/hal-01007352
The role of the microstructure and defects on crack initiation in 316l stainless steel under multiaxial high cycle fatigue, 11th International Fatigue Congress, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-01082940
Micromechanical study of the loading path effect in high cycle fatigue, International Journal of Fatigue, vol.59, pp.64-75, 2014. ,
DOI : 10.1016/j.ijfatigue.2013.09.014
URL : https://hal.archives-ouvertes.fr/hal-01084146
Micromechanical investigation of the influence of defects in high cycle fatigue, International Journal of Fatigue, vol.67, pp.159-172, 2014. ,
DOI : 10.1016/j.ijfatigue.2014.01.005
URL : https://hal.archives-ouvertes.fr/hal-01084156
Influence of the microstructure and voids on the high-cycle fatigue strength of 316l stainless steel under multiaxial loading. Fatigue and Fracture of Engineering Materials and structures, pp.1087-1104, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01309594
Influence d'accidents géométriques et du mode de chargement sur le comportement en fatigue à grand nombre de cycles d'un acier inoxydable austénitique 316L, École Nationale Supérieure d'Arts et Métiers, 2014. ,
Étude numérique des champs mécaniques locaux dans les agrégats polycristallins d'acier 316L sous chargement de fatigue, 2011. ,
Champs locaux, effets de joints de grains et de surface dans les agrégats polycristallins 3d, CSMA 11ème Colloque national en calcul des structures, pp.13-17, 2013. ,
Investigation of the effect of grain clusters on fatigue crack initiation in polycrystals, International Journal of Fatigue, vol.32, issue.11, pp.1748-1763, 2010. ,
DOI : 10.1016/j.ijfatigue.2010.04.003
URL : https://hal.archives-ouvertes.fr/hal-00509802
Numerical investigations of the free surface effect in three-dimensional polycrystalline aggregates, Computational Materials Science, vol.70, pp.150-162, 2013. ,
DOI : 10.1016/j.commatsci.2012.11.052
URL : https://hal.archives-ouvertes.fr/hal-01017647
Mesures de champs et identification de modèles de plasticité cristalline, 2008. ,
Problèmes quasi-statiques en viscoplasticité, 1978. ,
A reduced simulation applied to the viscoelastic fatigue of polymers, Comptes Rendus M??canique, vol.342, issue.12, pp.671-691, 2014. ,
DOI : 10.1016/j.crme.2014.07.008
3-d growth of a short fatigue crack within a polycrystalline microstructure studied using combined diffraction and phasecontrast x-ray tomography, Acta Materialia, vol.52, issue.2, pp.590-601, 2011. ,
Une méthode de correction élastoplastique pour le calcul en fatigue des zones de concentration de contraintes sous chargement cyclique multiaxial non proportionnel, 2009. ,
PGD espace-temps adaptée pour le traitement de problèmes paramétrés, 2014. ,
Turbulence, coherent structures, dynamical systems and symmetry, 1996. ,
DOI : 10.1017/cbo9780511622700
Low-dimensional models of coherent structures in turbulence, Physics Reports, vol.287, issue.4, pp.337-384, 1997. ,
DOI : 10.1016/S0370-1573(97)00017-3
Statistical assessment of multiaxial HCF criteria at the grain scale, International Journal of Fatigue, vol.67, pp.151-158, 2014. ,
DOI : 10.1016/j.ijfatigue.2014.01.024
URL : https://hal.archives-ouvertes.fr/hal-01057879
Analysis of complex statistical variables in principal components, J. Exp. Psy, vol.24, p.417, 1953. ,
Coupling between experimental measurements and polycrystal finite element calculations for micromechanical study of metallic materials, International Journal of Plasticity, vol.23, issue.9, pp.1512-1539, 2007. ,
DOI : 10.1016/j.ijplas.2007.01.009
Mécanique non-linéaire des matériaux, Hermes, 2001. ,
A high-cycle fatigue life model for variable amplitude multiaxial loading, Fatigue & Fracture of Engineering Materials & Structures, vol.25, issue.1, pp.67-75, 2008. ,
DOI : 10.1111/j.1460-2695.2007.01201.x
URL : https://hal.archives-ouvertes.fr/hal-00418562
Computational Inelasticity, 1997. ,
Modélisation des Structures par Éléments Finis, I?III, 1991. ,
Determination of representative volume element for random microstructures, 2002. ,
Determination of the size of the representative volume element for random composites: statistical and numerical approach, International Journal of Solids and Structures, vol.40, issue.13-14, pp.3647-3679, 2003. ,
DOI : 10.1016/S0020-7683(03)00143-4
Nouveaux outils pour la conception fiable des structures, 2001. ,
Uber lineare methoden füer wahrscheiniogkeitsrechnung Annales of Academic Science Fennicae, Series A1, Mathematical Physics, pp.3-79, 1946. ,
Zur spektraltheorie stochastischer prozesse, Ann. Acad. Sci. Fennicae, p.37, 1946. ,
Bridging proper orthogonal decomposition methods and augmented Newton???Krylov algorithms: An adaptive model order reduction for highly nonlinear mechanical problems, Computer Methods in Applied Mechanics and Engineering, vol.200, issue.5-8, pp.5-8850, 2011. ,
DOI : 10.1016/j.cma.2010.10.009
URL : https://hal.archives-ouvertes.fr/hal-00537900
Détermination directe des états limites et des champs de contraintes résiduelles pour les structures chargées cycliquement application de la méthode d'analyse simplifiée, 2002. ,
Newton-Krylov methods applied to a system of convection-diffusion-reaction equations, Computer Physics Communications, vol.88, issue.2-3, pp.141-160, 1995. ,
DOI : 10.1016/0010-4655(95)00062-K
Basic Computational Plasticity, 2002. ,
Accuracies of Numerical Solution Methods for the Elastic-Perfectly Plastic Model, Journal of Pressure Vessel Technology, vol.99, issue.4, pp.510-515, 1977. ,
DOI : 10.1115/1.3454568
An efficient cycles jump technique for viscoplastic structures calculations involving large number of cycles, pp.1733-1744, 1992. ,
Control of the Burgers Equation by a Reduced-Order Approach Using Proper Orthogonal Decomposition, Journal of Optimization Theory and Applications, vol.6, issue.2, pp.345-371, 1999. ,
DOI : 10.1023/A:1021732508059
A Non-incremental and Adaptive Computational Approach in Thermo-viscoplasticity, IUTAM Symposium on Micro-and Macrostructural Aspects of the Thermoplasticity, pp.281-291, 1999. ,
DOI : 10.1007/0-306-46936-7_27
Sur une famille d'algorithmes en mécanique des structures, Comptes Rendus Acad. Sc. Paris, t. 300 série II, pp.41-44, 1985. ,
La méthode à grand increment pour l'analyse de structures à comportement non linéaire décrit par variables internes, Série II, issue.11, 1989. ,
The large time increment method for the analysis of structures with non-linear behavior described by internal variables, Comptes Rendus De L'Academie Des Sciences Serie Ii, pp.1095-1099, 1989. ,
M??canique non lin??aire des structures, Revue Fran??aise de G??nie Civil, vol.1, issue.2, 1996. ,
DOI : 10.1080/12795119.1997.9692126
Nonlinear Computational Structural Mechanics-New approaches and nonincremental methods of calculation, 1999. ,
On a multiscale computational strategy with time and space homogenization for structural mechanics, Computer Methods in Applied Mechanics and Engineering, vol.192, issue.28-30, p.192, 2003. ,
DOI : 10.1016/S0045-7825(03)00341-4
Une strat??gie de calcul multi??chelle avec homog??n??isation en espace et en temps, Comptes Rendus M??canique, vol.330, issue.10, pp.683-689, 2002. ,
DOI : 10.1016/S1631-0721(02)01514-0
The LATIN multiscale computational method and the Proper Generalized Decomposition, Computer Methods in Applied Mechanics and Engineering, vol.199, issue.21-22, pp.1287-1296, 2009. ,
DOI : 10.1016/j.cma.2009.06.023
The LATIN multiscale computational method and the Proper Generalized Decomposition, Computer Methods in Applied Mechanics and Engineering, vol.199, issue.21-22, pp.1287-1296, 2010. ,
DOI : 10.1016/j.cma.2009.06.023
Duality preserving discretization of the large time increment methods, Computer Methods in Applied Mechanics and Engineering, vol.189, issue.1, pp.205-232, 2000. ,
DOI : 10.1016/S0045-7825(99)00310-2
A Multilinear Singular Value Decomposition, SIAM Journal on Matrix Analysis and Applications, vol.21, issue.4, pp.1253-1278, 2000. ,
DOI : 10.1137/S0895479896305696
The singular value decomposition : its computation and some applications, IEEE Transactions on Automatic Control, vol.25, pp.164-176, 1980. ,
N-site modeling of a 3D viscoplastic polycrystal using Fast Fourier Transform, Acta Materialia, vol.49, issue.14, pp.2723-2737, 2001. ,
DOI : 10.1016/S1359-6454(01)00172-0
An elasto-viscoplastic formulation based on fast Fourier transforms for the prediction of micromechanical fields in polycrystalline materials, International Journal of Plasticity, vol.32, issue.33, pp.32-3359, 2012. ,
DOI : 10.1016/j.ijplas.2011.12.005
A self-consistent anisotropic approach for the simulation of plastic deformation and texture development of polycrystals: Application to zirconium alloys, Acta Metallurgica et Materialia, vol.41, issue.9, pp.2611-2624, 1993. ,
DOI : 10.1016/0956-7151(93)90130-K
Airfoil design optimization using reduced order models based on proper orthogonal decomposition, Fluids 2000 Conference and Exhibit, 2000. ,
DOI : 10.2514/6.2000-2545
Damage 90: a post processor for crack initiation, Computer Methods in Applied Mechanics and Engineering, vol.115, issue.3-4, pp.197-232, 1994. ,
DOI : 10.1016/0045-7825(94)90060-4
Numerical analysis of an engine turbine disk loaded with a large number of thermomecanical cycles, Proceedings of 2nd International Conference on Computational Plasticity, pp.591-602, 1989. ,
Towards a framework for non-linear thermal models in shell domains, International Journal of Numerical Methods for Heat and Fluid Flow, vol.23, issue.1, pp.55-73, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-01007391
Amorçage de fissures en fatigue dans un acier 304L : influence la microstructure et d'un chargement d'amplitude variable, 2012. ,
PROPER ORTHOGONAL DECOMPOSITION AND ITS APPLICATIONS???PART I: THEORY, Journal of Sound and Vibration, vol.252, issue.3, pp.527-544, 2002. ,
DOI : 10.1006/jsvi.2001.4041
A model for short crack propagation in polycrystalline materials. Engng Fracture Mechanics, pp.223-232, 2006. ,
Micromechanic analysis of fatigue band crossing grain boundary, Materials Science and Engineering: A, vol.246, issue.1-2, pp.169-179, 1998. ,
DOI : 10.1016/S0921-5093(97)00692-8
Probability theory, Pricenton : Van Nostrand, 1955. ,
Probability theory. The University Series in Higher Mathematics, 1963. ,
The structure of inhomogeneous turbulent flows, Atmospheric Turbulence and Radio Wave Propagation, pp.221-227, 1967. ,
Atmospheric turbulence and wave propagation. the structure of inhomogeneous turbulence, 1967. ,
The structure of inhomogeneous turbulent flows Atmospheric Turbulence and Radio Wave Propagation, pp.166-178, 1967. ,
A multiscale fatigue life model for complex cyclic multiaxial loading, International Journal of Fatigue, vol.33, issue.2, pp.232-240, 2011. ,
DOI : 10.1016/j.ijfatigue.2010.08.017
URL : https://hal.archives-ouvertes.fr/hal-00525572
Adaptation d'une structure elastoplastique a ecrouissage cinematique, Mechanics Research Communications, vol.4, issue.5, pp.309-314, 1977. ,
DOI : 10.1016/0093-6413(77)90007-6
On a new method of evaluation of the inelastic state due to moving contacts, Wear, vol.203, issue.204, pp.203-204139, 1997. ,
DOI : 10.1016/S0043-1648(96)07428-5
Modélisation des phénomènes d'endommagement dus aux contacts à faible amplitude de débatement, 1997. ,
An affine formulation for the self-consistent modeling of elasto-viscoplastic heterogeneous materials based on the translated field method, International Journal of Plasticity, vol.64, pp.134-150, 2015. ,
DOI : 10.1016/j.ijplas.2014.08.011
Experimental and numerical study of the evolution of stored and dissipated energies in a medium carbon steel under cyclic loading, Mechanics of Materials, vol.60, pp.93-106, 2013. ,
DOI : 10.1016/j.mechmat.2013.01.011
URL : https://hal.archives-ouvertes.fr/hal-00821795
Activated slip systems and microcrack path in LCF of a duplex stainless steel, Materials Science and Engineering: A, vol.509, issue.1-2, pp.81-88, 2009. ,
DOI : 10.1016/j.msea.2009.01.012
URL : https://hal.archives-ouvertes.fr/hal-00761283
Accelerating iterative solution methods using reduced-order models as solution predictors, International Journal for Numerical Methods in Engineering, vol.4, issue.5, pp.525-541, 2006. ,
DOI : 10.1002/nme.1721
Self-consistent estimates for the rate-dependentelastoplastic behaviour of polycrystalline materials, Journal of the Mechanics and Physics of Solids, vol.47, issue.7, pp.1543-1568, 1999. ,
DOI : 10.1016/S0022-5096(98)00106-9
Contribution à la modélistaion numérique de la théorie cinétique des suspensions, 2011. ,
A new criterion of fatigue strengh for out-of-phase bending and torsion of hard metals, International Journal of Fatigue, vol.16, pp.377-384, 1994. ,
Plasticity and damage heterogeneity in fatigue, Theoretical and Applied Fracture Mechanics, pp.98-127, 2008. ,
DOI : 10.1016/j.tafmec.2007.10.006
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
Single Crystal Modeling for Structural Calculations: Part 2???Finite Element Implementation, Journal of Engineering Materials and Technology, vol.113, issue.1, pp.171-182, 1991. ,
DOI : 10.1115/1.2903375
Proper Generalized Decomposition for Multiscale and??Multiphysics Problems, Archives of Computational Methods in Engineering, vol.193, issue.1???4, pp.351-372, 2010. ,
DOI : 10.1007/s11831-010-9053-2
Theory of Stress Concentration for Shear-Strained Prismatical Bodies With Arbitrary Nonlinear Stress-Strain Law, Journal of Applied Mechanics, vol.28, issue.4, pp.544-551, 1961. ,
DOI : 10.1115/1.3641780
On the elastic plastic initial-boundary value problem and its numerical integration, Int. J. for Numerical Methods in Engng, vol.11, pp.817-832, 1977. ,
URL : https://hal.archives-ouvertes.fr/hal-00105639
A generalized spectral decomposition technique to solve a class of linear stochastic partial differential equations, Computer Methods in Applied Mechanics and Engineering, vol.196, issue.45-48, pp.4251-4537, 2007. ,
DOI : 10.1016/j.cma.2007.05.016
URL : https://hal.archives-ouvertes.fr/hal-00366619
Generalized spectral decomposition method for solving stochastic finite element equations: Invariant subspace problem and dedicated algorithms, Computer Methods in Applied Mechanics and Engineering, vol.197, issue.51-52, pp.4718-4736, 2008. ,
DOI : 10.1016/j.cma.2008.06.012
URL : https://hal.archives-ouvertes.fr/hal-00366613
Multiscale Computational Strategy With Time and Space Homogenization: A Radial-Type Approximation Technique for Solving Microproblems, International Journal for Multiscale Computational Engineering, vol.2, issue.4, p.170, 2004. ,
DOI : 10.1615/IntJMultCompEng.v2.i4.40
URL : https://hal.archives-ouvertes.fr/hal-00368058
Generalized spectral decomposition for stochastic nonlinear problems, Journal of Computational Physics, vol.228, issue.1, pp.202-235, 2009. ,
DOI : 10.1016/j.jcp.2008.09.010
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.594.6239
The Finite Element Method : Its Basis and Fundamentals, 2005. ,
The Finite Element Method vol I-II, 2000. ,
Méthode des éléments finis, Ecole centrale de Nantes, 2008. ,
Modèle numérique micromécanique d'agrégat polycrystallin pour le comportement des combustibles oxydes, 19ème Congès Français de Mécanique, pp.24-28, 2009. ,
Integral formulation and self-consistent modelling of elastoviscoplastic behavior of heterogeneous materials, Archive of Applied Mechanics (Ingenieur Archiv), vol.69, issue.1, pp.14-35, 1999. ,
DOI : 10.1007/s004190050201
An efficient method of solving the navier-stokes equations for flow controls, Phys. Rep, vol.287, pp.337-384, 1997. ,
Turbulent thermal convection in a finite domain: Part II. Numerical results, Physics of Fluids A: Fluid Dynamics, vol.100, issue.3, pp.1659-1668, 1990. ,
DOI : 10.1098/rspa.1954.0197
accelerated disturbance damping of an unknown distributed system by nonlinear feedback, AIChE Journal, vol.38, issue.9, pp.1461-1476, 1992. ,
The use of the Karhunen-Lo??ve decomposition for the modeling of distributed parameter systems, Chemical Engineering Science, vol.51, issue.1, pp.81-98, 1996. ,
DOI : 10.1016/0009-2509(95)00230-8
An efficient method of solving the Navier-Stokes equations for flow control, International Journal for Numerical Methods in Engineering, vol.46, issue.6, pp.1133-1155, 1998. ,
DOI : 10.1002/(SICI)1097-0207(19980330)41:6<1133::AID-NME329>3.0.CO;2-Y
Boundary control of the Navier???Stokes equation by empirical reduction of modes, Computer Methods in Applied Mechanics and Engineering, vol.188, issue.1-3, pp.165-186, 2000. ,
DOI : 10.1016/S0045-7825(99)00146-2
Control of Navier-Stokes equations by means of mode reduction, International Journal for Numerical Methods in Fluids, vol.7, issue.4, pp.535-557, 2000. ,
DOI : 10.1002/1097-0363(20000630)33:4<535::AID-FLD20>3.0.CO;2-H
Solution of inverse radiation problems using the Karhunen???Lo??ve Galerkin procedure, Journal of Quantitative Spectroscopy and Radiative Transfer, vol.68, issue.5, pp.489-506, 2001. ,
DOI : 10.1016/S0022-4073(00)00038-8
A scalable time???space multiscale domain decomposition method: adaptive time scale separation, Computational Mechanics, vol.39, issue.32???33, pp.621-633, 2010. ,
DOI : 10.1007/s00466-010-0504-2
On lines and planes of closest to points in space, Philosophical Magazine, vol.40, issue.4, pp.1446-1474, 1901. ,
Gradient-enhanced damage modelling of high-cycle fatigue, International Journal for Numerical Methods in Engineering, vol.2, issue.12, pp.1547-1569, 2000. ,
DOI : 10.1002/1097-0207(20001230)49:12<1547::AID-NME16>3.0.CO;2-D
Approche par contr??le optimal des structures ??lastoviscoplastiques sous chargement cyclique, Comptes Rendus Acad. Sc. Paris Série II b, t 329, 2001. ,
DOI : 10.1016/S1620-7742(01)01381-2
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
Détermination de cycle limite par une méthode cyclique directe, actes du 5ème colloque national de calcul des structures, 2001. ,
Détermination de la réponse asymptotique d'une structure anélastique soumise à un chargement thermomécanique cyclique, 2003. ,
The theory of plasticity: a survey of recent achievements, Proc. Inst. Mech. Engrs, pp.41-57, 1955. ,
DOI : 10.1243/PIME_PROC_1955_169_015_02
On the deterministic solution of multidimensional parametric models using the Proper Generalized Decomposition, Mathematics and Computers in Simulation, vol.81, issue.4, pp.791-810, 2010. ,
DOI : 10.1016/j.matcom.2010.07.015
URL : https://hal.archives-ouvertes.fr/hal-00704427
Simulated microstructure-sensitive extreme value probabilities for high cycle fatigue of duplex Ti???6Al???4V, International Journal of Plasticity, vol.27, issue.12, pp.1871-1895, 2011. ,
DOI : 10.1016/j.ijplas.2011.01.006
Polycrystal modelling of fatigue: Pre-hardening and surface roughness effects on damage initiation for 304L stainless steel, International Journal of Fatigue, vol.45, pp.48-60, 2012. ,
DOI : 10.1016/j.ijfatigue.2012.06.014
On size effects in torsion of multi-and polycrystalline specimens, Journal de Physique IV, vol.8, pp.39-48, 1998. ,
Proper orthogonal decomposition-based model reduction for non-linear biomechanical analysis, International Journal of Materials Engineering Innovation, vol.4, issue.2, pp.149-165, 2013. ,
DOI : 10.1504/IJMATEI.2013.054393
Model reduction in elastoplasticity: proper orthogonal decomposition combined with adaptive sub-structuring, Computational Mechanics, vol.2, issue.2, pp.677-687, 2014. ,
DOI : 10.1007/s00466-014-1020-6
COMMENTS ON ???ON THE PHYSICAL INTERPRETATION OF PROPER ORTHOGONAL MODES IN VIBRATIONS???, Journal of Sound and Vibration, vol.219, issue.1, pp.189-192, 1999. ,
DOI : 10.1006/jsvi.1998.1895
A Quantitative study of minimum sizes of representative volume elements of cubic polycrystals???numerical experiments, Journal of the Mechanics and Physics of Solids, vol.50, issue.4, pp.881-893, 2002. ,
DOI : 10.1016/S0022-5096(01)00102-8
Nonlinear Finite element Analysis of solids and structures. Wiley series in computational mechanics, 2012. ,
Enhanced damage modelling for fracture and fatigue, 1999. ,
Iterative accelerating algorithms with krylov sub-spaces for the solution to large-scale non-linear problems, Numerical Algorithms, vol.23, issue.1, pp.1-30, 2000. ,
DOI : 10.1023/A:1019187614377
A comparison between different numerical methods for the modeling of polycrystalline materials with an elastic???viscoplastic behavior, Computational Materials Science, vol.103, pp.134-144, 2015. ,
DOI : 10.1016/j.commatsci.2015.03.028
Micro-mechanical modelling of high cycle fatigue behaviour of metals under multiaxial loads, Mechanics of Materials, vol.55, pp.112-129, 2012. ,
DOI : 10.1016/j.mechmat.2012.08.006
Comportement en fatigue sous environnement vibratoire : Prise en compte de la plasticité au sein des méthodes spectrales, 2013. ,
Méthode d'estimation rapide de la tenue en fatigue oligocyclique d'une structure dans le cadre de la plasticité confinée : application aux assemblages soudés pour la construction navale, 2013. ,
A priori hyperreduction method: an adaptive approach, Journal of Computational Physics, vol.202, issue.1, pp.346-366, 2005. ,
DOI : 10.1016/j.jcp.2004.07.015
Hyper-reduction of mechanical models involving internal variables, International Journal for Numerical Methods in Engineering, vol.1, issue.3, pp.75-89, 2009. ,
DOI : 10.1002/nme.2406
URL : https://hal.archives-ouvertes.fr/hal-00732247
Multi-level A Priori Hyper-Reduction of mechanical models involving internal variables, Computer Methods in Applied Mechanics and Engineering, vol.199, issue.17-20, pp.17-201134, 2010. ,
DOI : 10.1016/j.cma.2009.12.003
URL : https://hal.archives-ouvertes.fr/hal-00461492
On thea priori model reduction: Overview and recent developments, Archives of Computational Methods in Engineering, vol.43, issue.5, pp.91-128, 2006. ,
DOI : 10.1007/BF02905932
An efficient ???a priori??? model reduction for boundary element models, Engineering Analysis with Boundary Elements, vol.29, issue.8, pp.29796-801, 2005. ,
DOI : 10.1016/j.enganabound.2005.04.003
URL : https://hal.archives-ouvertes.fr/hal-00020778
Hyper-reduced predictions for lifetime assessment of elasto-plastic structures, Meccanica, vol.65, issue.3, pp.309-317, 2016. ,
DOI : 10.1007/s11012-015-0244-7
URL : https://hal.archives-ouvertes.fr/hal-01295849
Multi-level A Priori Hyper-Reduction of mechanical models involving internal variables, Computer Methods in Applied Mechanics and Engineering, vol.199, issue.17-20, pp.17-201134, 2010. ,
DOI : 10.1016/j.cma.2009.12.003
URL : https://hal.archives-ouvertes.fr/hal-00461492
A robust adaptive model reduction method for damage simulations, Computational Materials Science, vol.50, issue.5, pp.1597-1605, 2011. ,
DOI : 10.1016/j.commatsci.2010.11.034
URL : https://hal.archives-ouvertes.fr/hal-00585356
Multidimensional a priori hyperreduction of mechanical models involving internal variables, Computer Methods in Applied Mechanics and Engineering, vol.225, pp.28-43, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00705783
Hyperréduction a priori en dynamique non-linéaire à large bande, Giens, 2005. ,
R??duction a priori de mod??les thermom??caniques, Comptes Rendus M??canique, vol.330, issue.7, pp.499-505, 2002. ,
DOI : 10.1016/S1631-0721(02)01487-0
Modèles à grand nombre de variables internes et méthodes numériques associées, 1993. ,
Mécanique des milieux continus. Éditions de l'École Polytechnique, 2007. ,
Truncated Integration for Simultaneous Simulation of Sintering Using a Separated Representation, Archives of Computational Methods in Engineering, vol.12, issue.1, pp.455-463, 2010. ,
DOI : 10.1007/s11831-010-9055-0
URL : https://hal.archives-ouvertes.fr/hal-00542499
Méthodes de calcul associées aux lois de comportement cyclique et d'endommagement, La recherche Aérospatiale, vol.5, pp.263-278, 1978. ,
Fatigue crack initiation modeling of 316LN steel based on non local plasticity theory, Procedia Engineering, vol.2, issue.1, pp.1353-1362, 2010. ,
DOI : 10.1016/j.proeng.2010.03.147
URL : https://hal.archives-ouvertes.fr/hal-00752010
Numerical approach of cyclic behaviour of 316LN stainless steel based on a polycrystal modelling including strain gradients, International Journal of Fatigue, vol.55, pp.202-212, 2013. ,
DOI : 10.1016/j.ijfatigue.2013.07.003
Approche non locale en plasticité cristalline : application à l'étude du comportement mécanique de l'acier AISI 316LN en fatigue oligocyclique, 2011. ,
Consistent tangent operators for rate-independent elastoplasticity, Computer Methods in Applied Mechanics and Engineering, vol.48, issue.1, pp.101-118, 1985. ,
DOI : 10.1016/0045-7825(85)90070-2
Equation-free/Galerkin-free POD-assisted computation of incompressible flows, Journal of Computational Physics, vol.207, issue.2, pp.568-587, 2005. ,
DOI : 10.1016/j.jcp.2005.01.024
Turbulence and the dynamics of coherent structures. part 1 : Coherent structures, Quarterly of Applied Mathematics, issue.3, pp.561-571, 1987. ,
Turbulence and the dynamics of coherent structures. part 2 : Symmetries and transformations, Quarterly of Applied Mathematics, issue.3, pp.573-582, 1987. ,
Turbulence and the dynamics of coherent structures. part 3 : Dynamics and scaling, Quarterly of Applied Mathematics, issue.3, pp.583-590, 1987. ,
Low-dimensional procedure for the characterization of human faces, Journal of the Optical Society of America A, vol.4, issue.3, pp.519-524, 1987. ,
DOI : 10.1364/JOSAA.4.000519
Turbulent thermal convection in a finite domain: Part I. Theory, Physics of Fluids A: Fluid Dynamics, vol.297, issue.3, pp.1649-1658, 1990. ,
DOI : 10.1103/PhysRevLett.44.572
A direct method to predict cyclic steady states of elastoplastic structures, Computer Methods in Applied Mechanics and Engineering, vol.223, issue.224, pp.223-224186, 2012. ,
DOI : 10.1016/j.cma.2012.03.004
A direct method to predict cyclic steady states of elastoplastic structures Inelastic Analysis of Structures under Variable Loads, pp.213-232, 2000. ,
A Simplified Method to Predict the Steady Cyclic Stress State of Creeping Structures, Journal of Applied Mechanics, vol.69, issue.2, pp.149-153, 2002. ,
DOI : 10.1115/1.1430234
Simplified Methods for the Steady State Inelastic Analysis of Cyclically Loaded Structures, Comput. Methods Appl. Mech.Engrg, pp.223-224186, 2012. ,
DOI : 10.1007/978-94-010-9421-4_14
Linear algebra and its applications, 2006. ,
Finite element simulation of the large elastoplastic deformation of multicrystals, 5th MECAMAT Int. Seminar on Large Plastic Deformations : Fundamental Aspects and Applications to Metal Forming, pp.153-168, 1993. ,
Stiffness and Deflection Analysis of Complex Structures, Journal of the Aeronautical Sciences, vol.23, issue.9, pp.805-824, 1956. ,
DOI : 10.2514/8.3664
Sur la résistance à la fatigue des métaux. Sciences et Techniques de l'armement, mémorial de l'artillerie française, p.3, 1973. ,
Direct determination of limiting cycle during cyclic loading, Computational Materials Science, vol.7, issue.1-2, pp.11-15, 1996. ,
DOI : 10.1016/S0927-0256(96)00053-5
URL : https://hal.archives-ouvertes.fr/hal-00111528
Reduced-order modelling for solving linear and non-linear equations, International Journal for Numerical Methods in Biomedical Engineering, vol.2, issue.1, pp.43-58, 2011. ,
DOI : 10.1002/cnm.1286
URL : https://hal.archives-ouvertes.fr/hal-00541925
An adaptive ROM approach for solving transfer equations, Revue europ??enne de m??canique num??rique, vol.15, issue.5, pp.589-605, 2005. ,
DOI : 10.3166/remn.15.589-605
URL : https://hal.archives-ouvertes.fr/hal-00312311
Un système dynamique d'ordre réduit basé sur une approche APR- POD pour l'étude de l'interaction écoulement turbulent-particules, 2007. ,
Optimal control of a phase-eld model using proper orthogonal decomposition, Z. Angew. Math. Mech ,
Nonlinear Finite Element Methods, 2008. ,
The reduced model multiscale method (R3M) for the non-linear homogenization of hyperelastic media at finite strains, Journal of Computational Physics, vol.223, issue.1, pp.341-368, 2007. ,
DOI : 10.1016/j.jcp.2006.09.019
URL : https://hal.archives-ouvertes.fr/hal-00693621
Elastic-plastic response of a structure subjected to cyclic loading : practical rules, Mechanics Today, vol.6, pp.93-198, 1979. ,
A new approach in inelastic analysis of structures, CADLM, 1990. ,
New Rules to Be Included in Codes and Standards to Represent Multiaxial Variable Amplitudes Loadings on Structures, 10th International Conference on Nuclear Engineering, Volume 4, 2002. ,
DOI : 10.1115/ICONE10-22029
URL : https://hal.archives-ouvertes.fr/hal-00117706
Fatigue analysis of structures during random loadings, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-00114472
Simplified dynamical analysis of inelastic structures, Nuclear Engineering and Design, vol.92, issue.1, pp.89-103, 1986. ,
DOI : 10.1016/0029-5493(86)90101-9
Participation à la mise au point d'une méthode d'analyse simplifiée, 1988. ,
Etude du comportement en fatigue à grand nombre de cycles d'un acier à haute limite d'élasticité HC360LA : Endommagement, plasticité et phénomènes dissipatifs associés, École Nationale Supérieure d'Arts et Métiers, 2016. ,
The Finite Element Method in Structural and Continuum Mechanics, 1967. ,