. Abdul-latif, On the Modeling of Nonproportional Cyclic Plasticity of Waspaloy, Journal of Engineering Materials and Technology, vol.116, issue.1, pp.35-44, 1994.
DOI : 10.1115/1.2904253

A. Abdul-latif and A. , Constitutive equations for cyclic plasticity of Waspaloy, International Journal of Plasticity, vol.12, issue.8, pp.967-985, 1996.
DOI : 10.1016/S0749-6419(96)00037-X

A. , S. Abdul-latif, A. Saanouni, and K. , micromechanical modeling of cycle fatigue under complex loadings-Part II Applications, Int. Journal of plasticity, vol.12, pp.1123-1149, 1996.

. Abdul-latif, Modeling of complex cyclic inelasticity in heterogeneous polycrystalline microstructure, Mechanics of Materials, vol.30, issue.4, pp.287-305, 1998.
DOI : 10.1016/S0167-6636(98)00054-4

. Abdul-latif, Fatigue Damage Initiation in Waspaloy Under Complex Cyclic Loading, Journal of Engineering Materials and Technology, vol.121, issue.3, pp.278-285, 1999.
DOI : 10.1115/1.2812376

A. Abdul-latif and A. , On the Mutliaxial Ratcheting of Polycrystals Plasticity, Damage and Fracture at Macro, Micro and Nano Scales, p.465, 2002.

A. Abdul-latif and A. , Multiscale Modeling : Aggregate of Grains and Its Influence on the Inelastic Behavior in Polycrystalline Microstructure, 4th International Conference on New Challenges in Mesomechanics, p.139, 2002.

A. Abdul-latif, J. P. Dingli, and K. Saanouni, Elastic-inelastic Self-consistent model for polycristals, Journal of Applied Mechanics, vol.69, issue.1, pp.1-8, 2002.
DOI : 10.1115/1.1427693

A. Aharoune, Thermodynamique de la relaxation structurale de phases amorphes en regime anisotrope, Thèse I.N.P. Lorraine, 1991.

. Aharoune, Correlation between DNLR model and AES model to describe relaxation phenomena study starting from anisothermal DSC measurements for amorphous alloy (Se, Te, Ge) near glass transition, 2nd International Discussion Meeting on relaxation in complex System, 1993.

. Aharoune, The DNLR Approch and relaxation Phenomena. Part I & II -Application : Volume Recovery of PVAc, Mechanics of Time-Dependent Materials, vol.5, issue.4, pp.345-377, 2001.
DOI : 10.1023/A:1012520720199

A. , F. Amstrong, P. J. Frederick, and C. , A mathematical representation of the multiaxial Baushinger effect, CEGB report R.B/B, p.731, 1966.

Z. Ayadi, Contribution à la modélisation du comportement mécanique des plymères à partir d'une approche thermodynamique de la de la relaxation des milieux continus.Application aux expériences de fluage/recouvrance, Thèse I.N.P. Lorraine, 1995.

. Basuroychowdhury, A multiaxial cyclic plasticity model for non-proportional loading cases, International Journal of Plasticity, vol.14, issue.9, pp.855-870, 1998.
DOI : 10.1016/S0749-6419(98)00033-3

H. Bari, S. Bari, and T. Hassan, Anatomy of coupled constitutive models for ratcheting simulation, International Journal of Plasticity, vol.16, issue.3-4, pp.381-409, 2000.
DOI : 10.1016/S0749-6419(99)00059-5

A. Benallal, Structure analysis in quasi-satic elastoviscoplasticity, Benallal Eng. Comp Vol, vol.3, issue.4, pp.323-330, 1986.

. Blanchard, Inelastic Analysis and Life prediction in High Temperature Environment, Preprints of the 5th International seminar (SMIRT), 1985.

. Boisse, A new approach in non-linear mechanics: The large time increment method, International Journal for Numerical Methods in Engineering, vol.15, issue.3, pp.647-663, 1990.
DOI : 10.1002/nme.1620290312

C. Burlet, H. Burlet, and G. Cailletaud, Modelling of cyclic plasticity in finite element codes, Proc. of Constitutive Laws for Engineering Materials : Theory and application, p.1157, 1987.

. Calloch, Triaxial tension-compression loadings in cyclic elastoplasticity, Experimental and numerical aspects, Third Asia-Pacific Symposium on on Advances in Engineering plasticity and its Applications, pp.135-141, 1996.

S. Calloch, Essais Triaxiaux Non-Proportionnels et Ingénierie des modèles de plasticité Cyclique, Thèse ENS CACHAN, 1996.

. Calloch, Additonal Hardening due tension-torsion non propotionnal loadings, Influence of the loading path shape, STP 1280, ASTM, pp.113-130, 1997.

J. L. Chaboche, Sur l'utilisation des variables d'états interne pour la description de la viscoplasticité cyclique avec endomagement" Problèmes non linéaires de mécanique . Cracovie, Chaboche, pp.137-159, 1977.

. Chaboche, Modelization of the strain memory effect on the cyclic hardenning of 316 Stainless steel, Proceedings of the 5th Int., Conference on SMiRT, 1979.

J. L. Chaboche, Cyclic plasticity modelings and ratcheting effects, Proceedings of Constitutive laws for Engeneering Materials, 1987.

J. L. Chaboche, Constitutive equations for cyclic plasticity and cyclic viscoplasticity, International Journal of Plasticity, vol.5, issue.3, p.247, 1989.
DOI : 10.1016/0749-6419(89)90015-6

J. L. Chaboche and D. Nouailhas, Constitutive Modeling of Ratchetting Effects???Part I: Experimental Facts and Properties of the Classical Models, Journal of Engineering Materials and Technology, vol.111, issue.4, pp.384-392, 1989.
DOI : 10.1115/1.3226484

J. L. Chaboche, On some modifications of kinematic hardening to improve the description of ratchetting effects, International Journal of Plasticity, vol.7, issue.7, pp.661-678, 1991.
DOI : 10.1016/0749-6419(91)90050-9

J. L. Chaboche, D. Nouailhas, D. Pacou, and P. Paulmier, Modeling of the cyclic response and ratcheting effects on inconnel -718 alloy, Eur. J, 1991.

J. L. Chaboche, Modeling of Ratcheting : evaluation of various approches, Chaboche European Journal of mechanics, vol.13, pp.501-518, 1994.

J. L. Chaboche and G. Cailletaud, Integration methods for complex plastic constitutive equations, Computer Methods in Applied Mechanics and Engineering, vol.133, issue.1-2, pp.125-155, 1996.
DOI : 10.1016/0045-7825(95)00957-4

J. L. Chaboche, Thermodynamic formulation of constitutive equations and application to the viscoplasticity and viscoelasticity of metals and polymers, International Journal of Solids and Structures, vol.34, issue.18, pp.2239-2254, 1997.
DOI : 10.1016/S0020-7683(96)00162-X

. Clavel, Analyse microstructurale de la déformation plastique sous sollicitations non proportionnelles dans un alliage base nickel, C.R. Acad. Sciences Paris, pp.689-694, 1989.

. Cognard, The Large Time Increment Method Applied to Cyclic Loadings, Proceedings IUTAM "Creep in strutures IV, 1990.
DOI : 10.1007/978-3-642-84455-3_62

E. Contesti, Lois de comportement des aciers inoxydables en chargements combinés plasticité fluage en uni-axial et biaxial, Rapport GRECO-GIS Grandes déformations et endomagement. (GDE) Etude 2B, 1985.

. Corona, On the performance of kinematic hardening rules in predicting a class of biaxial ratcheting histories, International Journal of Plasticity, vol.12, issue.1, pp.117-145, 1996.
DOI : 10.1016/S0749-6419(95)00047-X

. Dafalias, Plastic Internal Variables Formalism of Cyclic Plasticity, Journal of Applied Mechanics, vol.43, issue.4, pp.645-650, 1976.
DOI : 10.1115/1.3423948

[. Donder, De Donder TLeçons de thermodynamique et de chimie physique, 1920.

P. Delobelle, Synthesis of the elastoviscoplastic behavior and modelization of an austenitic stainless steel over a large temperature range, under uniaxial and biaxial loadings, part I: Behavior, International Journal of Plasticity, vol.9, issue.1, pp.65-85, 1993.
DOI : 10.1016/0749-6419(93)90014-H

. Delobelle, Experimental study and phenomenological modelization of ratchet under uniaxial and biaxial loading on an austenitic stainless steel, International Journal of Plasticity, vol.11, issue.4, pp.295-330, 1995.
DOI : 10.1016/S0749-6419(95)00001-1

. Dieng, Sur un modèle de comportement basé sur une analyse modale de la dissipation : Application au calcul par Eléments finis Approches multi-échelles pour l'étude du comportement mécanique des matériaux de structure, Actes des JSTMM, vol.29, pp.1-7, 2000.

. Dieng, Mise en oeuvre numerique de lois de comportement issues d'une analyse modale de la dissipation, Congrés Français de Mécanique Nancy, 2001.

V. Doquet, Comportement et endommagement de deux ciers à structures CC et CFC, en fatigue oligocyclique, sous chargement multiaxial non proportionnel, Thèse de Doctorat, 1989.

. Doquet, Extra hardening due to cyclic non-proportional loading of an austenitic stainless steel, Scripta Metallurgica et Materialia, vol.24, issue.3, p.433, 1990.
DOI : 10.1016/0956-716X(90)90178-J

V. Ferney and . Fortunier, Etude de l'écrouissage cyclique sous sollicitations complexes. Cas d'alliages à durcissement structuralLoi de comportement de Chaboche. Identification des paramètres élasto-plastiques et élasto-visco-plastiques de l'acier EDF-SPH entre 20?et20?et 600?C, Thèse de Doctorat : Framatome, 46 p., Note technique NOVTUDD N?90011N?90011, 1994.

P. Germain, Mécanique des milieux continus, 1973.

G. Geyer and P. , Modélisation des phénomènes de déformation progressive par le modèle élastoplastique de Chaboche modifié par Burlet et Cailletaud, Rapport - EDF, 1994.

A. Goodman-goodman and M. , Development of constitutive equations for computer analysis of stainless steel components, Nuclear Engineering and Design, vol.83, issue.3, pp.349-354, 1988.
DOI : 10.1016/0029-5493(84)90127-4

G. Grandidier, J. , and C. , Calcul par éléments finis des matériaux et structures en polymère, Apollor-Inpl, 2001.

. Hassan, Ratcheting in cyclic plasticity, part I: Uniaxial behavior, International Journal of Plasticity, vol.8, issue.1, pp.91-116, 1992.
DOI : 10.1016/0749-6419(92)90040-J

. Hassan, Ratcheting in cyclic plasticity, part II: Multiaxial behavior, International Journal of Plasticity, vol.8, issue.2, pp.117-146, 1992.
DOI : 10.1016/0749-6419(92)90010-A

. Hassan, Ratcheting of cyclically hardening and softening materials: I. Uniaxial behavior, International Journal of Plasticity, vol.10, issue.2, pp.149-184, 1994.
DOI : 10.1016/0749-6419(94)90033-7

. Hassan, Ratcheting of cyclically hardening and softening materials: II. Multiaxial behavior, International Journal of Plasticity, vol.10, issue.2, pp.185-212, 1994.
DOI : 10.1016/0749-6419(94)90034-5

A. J. Kovacs, Transition vitreuse dans les polym??res amorphes. Etude ph??nom??nologique, Fortschr.Hochpolym. Fortsch ; Bd, vol.3, pp.394-507, 1963.
DOI : 10.1007/BFb0050366

URL : http://publikationen.ub.uni-frankfurt.de/documents/11692/E001759451.pdf

E. Krempl, Models of viscoplasticity some comments on equilibrium (back) stress and drag stress, Acta Mechanica, vol.4, issue.1-4, p.25, 1987.
DOI : 10.1007/BF01175712

P. Ladeveze, Sur une nouvelle algorithme en mécanique des structures Rapport interne, Ladeveze, 1984.

P. Ladeveze, Sur une famille d'algorithmes en mécanique des structures Compte rendu académique des sciences -Paris, Ladeveze, vol.300, pp.41-44, 1985.

P. Ladeveze and . A. "-m, pour l'analyse de structure à comportement nonlinéaire décrit par variables internes Compte rendu académique des sciences -Paris, Ladeveze, vol.309, pp.11-11, 1989.

J. L. Chaboche and J. Lemaitre, Mécanique des matériaux solides, Lemaitre, 1985.

P. Marceron, Sur le rôle des potentiels généralisés et thermodynamique de la relaxation, Marceron, 1999.

. Martin, Simulation of physical ageing of PVAc by means of an integral DNLR formulation, 2000.

D. Mcdowell and L. , Stress state dependence of cyclic ratchetting behavior of two rail steels, International Journal of Plasticity, vol.11, issue.4, pp.397-421, 1995.
DOI : 10.1016/S0749-6419(95)00005-4

V. Meixner, Thermodynamische Theorie der elastischen Relaxation, Zeitschrift f??r Naturforschung A, vol.9, issue.7-8, pp.494-600, 1949.
DOI : 10.1515/zna-1954-7-812

K. Mrabet, Carctérisation expérimentale et modélisation de l' état relaxé pour le PEHD en traction, Actes des JSTMM 2-3 novembre 2000 tunisie, pp.1-8, 2000.

. Nishino, MICROSTRUCTURAL STUDY OF CYCLIC STRAIN HARDENING BEHAVIOUR IN BIAXIAL STRESS STATES AT ELEVATED TEMPERATURE, Fatigue & Fracture of Engineering Materials and Structures, vol.40, issue.1, pp.65-77, 1986.
DOI : 10.1111/j.1460-2695.1986.tb01212.x

. Ohno, Kinematic hardening rules with critical stateof dynamic recovery, partI : Formulation and basic features for ratcheting behavior, Int. J. of plasticity, vol.15, pp.375-390, 1993.

. Ohno, Ratchetting characteristics of 316FR steel at high temperature, part I: Strain-controlled ratchetting experiments and simulations, International Journal of Plasticity, vol.14, issue.4-5, pp.355-372, 1998.
DOI : 10.1016/S0749-6419(98)00009-6

. Ortiz, Accuracy and stability of integration algorithms for elastoplastic constitutive relations, International Journal for Numerical Methods in Engineering, vol.2, issue.9, pp.1561-1576, 1985.
DOI : 10.1002/nme.1620210902

P. Pilvin, Approches multiechelles pour la prévision du comportement anélastique des métaux, Thèse de Doctorat univ, 1990.

L. Portier, Contribution à l'étude de la déformation progressive des structures : étude expérimentale et étude comparative de lois de comportement, Thèse de doctorat de E.N.S. Cachan-paris VI, 1999.

. Portier, Ratcheting under tensiontorsion loadings : experiment and modelling, Int.Journal of plasticity, pp.303-335, 2000.

W. Prager, A new method of analysing stress and strain in work hardenning plastic solids, Prager J ; Appl. Mech, vol.23, issue.4, pp.493-496, 1956.

&. Rémond, Y. Stehly-rémond, and M. Stehly, On numerical simulation of viscoplastic and viscoelastic constitutive laws with the large time increment method Mechanics of time-Dependent Materials, Kluwer Acad, Publish, vol.6, issue.2, pp.147-170, 2001.

S. Saanouni and K. , Mécanique des solides déformables endommageables, 1990.

. Shiratori, Analysis of stress-strain relations by use of an anisotropic hardening plastic potential, Journal of the Mechanics and Physics of Solids, vol.27, issue.3, pp.213-229, 1979.
DOI : 10.1016/0022-5096(79)90002-4

F. Sidoroff, Mécanique et thermodynamique des milieux continus" Cours de trosième année à l'école centrale de LYON, Sidoroff, 1984.

J. C. Simo and J. W. Ju, Strain- and stress-based continuum damage models???I. Formulation, International Journal of Solids and Structures, vol.23, issue.7, pp.821-864, 1987.
DOI : 10.1016/0020-7683(87)90083-7

URL : http://dx.doi.org/10.1016/0895-7177(89)90117-9

. Tanaka, Effects of plastic strain amplitudes on non-proportional cyclic plasticity, Acta Mechanica, vol.23, issue.3-4, pp.167-182, 1985.
DOI : 10.1007/BF01176916

E. Tanaka, A non prportionality parameter and a viscoplastic constitutive model taking into account amplitude dependences and memory effects of isotropic hardenig, Tanaka Eur. J. Mech., A/solids, vol.13, p.155, 1994.

E. Toussaint, Thermodynamique non linéaire des processus irréversibles et comportement mécanique des matériaux. Modélisation et interprétation microphysique, Thèse I.N.P. Lorraine, 1997.

. Toussaint, Modeling of the mechanical behavior of a nickel alloy by a time-dependent thermodynamic approach to relaxations of continuous media Mechanics of time-dependent materials, p.125, 2000.

. Valanis, Endochronic Representation of Cyclic Creep and Relaxation of Metals, Journal of Applied Mechanics, vol.42, issue.1, pp.67-73, 1975.
DOI : 10.1115/1.3423556

K. C. Valanis, on the fundations of the endochronic theory of viscoplasticity, Archives of Mechanics, vol.27, pp.5-5, 1975.

G. Voyiadjis, Z. Sivakumar, and S. M. , A robust kinematic hardening rule for cyclic plasticity with ratchetting effects, Acta Mechanica, vol.88, issue.3, pp.105-123, 1991.
DOI : 10.1007/BF01177403

G. Voyiadjis, Z. Sivakumar, and S. M. , A robust kinematic hardening rule for cyclic plasticity with ratchetting effects Part II. Application to nonproportional loading cases, Acta Mechanica, vol.54, issue.1-4, pp.117-136, 1991.
DOI : 10.1007/BF01201824

. Voyiadjis, A plasticity model for multiaxial cyclic loading and ratchetting, Acta Mechanica, vol.110, issue.1-4, pp.19-35, 1998.
DOI : 10.1007/BF01172796

. Yoshida, plastic theory of mechanical ratcheting, Bulletin of te JSME vol Acta Mechanica Vol, vol.21, issue.126, pp.349-397, 1979.