T. Bibliographie, R. Abdo, and . Rackwitz, A new beta-point algorithm for large time-invariant and time variant reliability problems. Reliability and optimization of structures, 1990.

A. A. Acosta and A. A. , Sagues : Concrete cover cracking with localized corrosion of reinforcing steel, V.M. Malhotra, ´ editeur : 5 t h CONMAT/ACI International Conference on Durability of Concrete, 2000.

B. Adelaide, F. Richard, C. Ragueneau, and . Cremona, Thermodynamical admissibility of a set of constitutive equations coupling elasticity, isotropic damage and internal sliding, Comptes Rendus M??canique, vol.338, issue.3, pp.158-163, 2010.
DOI : 10.1016/j.crme.2010.03.005

URL : https://hal.archives-ouvertes.fr/hal-00508777

A. Almusallam, A. S. Gahtani, and A. R. Aziz, Effect of reinforcement corrosion on bond strength. Construction and building materials, pp.123-129, 1996.

C. Andrade, F. J. Alonso, and . Molina, Cover cracking as a function of bar corrosion: Part I-Experimental test, Materials and Structures, vol.86, issue.8, pp.453-464, 1993.
DOI : 10.1007/BF02472805

P. J. Armstrong and C. O. Frederick, A mathematical representation of the multiaxial bauschinger effect. Rapport technique, 1996.

P. Bamonte, D. Coronelli, and P. G. Gambarova, Size effets in high-bond bars, International Conference on Bond in Concrete held at the Budapest University of Technology and Economics, pp.43-52, 2002.

G. I. Barenblatt, The mathematical theory of equilibrium crack in the brittle fracture Advances in Applied Mechanics, pp.55-125, 1962.

Z. P. Bazant and B. H. Oh, Crack band theory for fracture of concrete, Materials and structures, vol.16, issue.93, pp.155-177, 1983.

Z. P. Bazant, Measurement of Characteristic Length of Nonlocal Continuum, Journal of Engineering Mechanics, vol.115, issue.4, pp.755-767, 1989.
DOI : 10.1061/(ASCE)0733-9399(1989)115:4(755)

T. Belytschko and T. Black, Elastic crack growth in finite elements with minimal remeshing, International Journal for Numerical Methods in Engineering, vol.55, issue.5, pp.601-6201375, 1999.
DOI : 10.1002/(SICI)1097-0207(19990620)45:5<601::AID-NME598>3.0.CO;2-S

K. Bhargava, A. K. Ghosh, Y. Mori, and S. , Modeling of time to corrosion-induced cover cracking in reinforced concrete structures, Cement and Concrete Research, vol.35, issue.11, pp.2203-2218, 2005.
DOI : 10.1016/j.cemconres.2005.06.007

K. Bhargava, A. K. Ghosh, Y. Mori, and S. , Model for cover cracking due to rebar corrosion in RC structures, Engineering Structures, vol.28, issue.8, pp.1093-1109, 2006.
DOI : 10.1016/j.engstruct.2005.11.014

K. Bhargava, A. K. Ghosh, Y. Mori, and S. Ramanujam, Corrosion-induced bond strength degradation in reinforced concrete???Analytical and empirical models, Nuclear Engineering and Design, vol.237, issue.11, pp.1140-1157, 2007.
DOI : 10.1016/j.nucengdes.2007.01.010

D. Brancherie, Modèles continus et discrets pour lesprobì emes de localisation et de rupture fragile et, 2003.

B. Bresler and V. Bertero, Behaviour of reinforced concrete under repeated load, ASCE Journal of Structural Division -Proceedings of the American Society of Civil Engineering, vol.94, issue.ST6, pp.1567-1590, 1968.

J. Broomfield, Corrosion of steel in concrete. Understanding, investigation and repair, Editure E & FN, 1997.

N. Burlion, F. Gatingt, G. Pijaudier-cabot, and L. Daudeville, Compaction and tensile damage in concrete: constitutive modelling and application to dynamics, Computer Methods in Applied Mechanics and Engineering, vol.183, issue.3-4, pp.291-308, 2000.
DOI : 10.1016/S0045-7825(99)00223-6

URL : https://hal.archives-ouvertes.fr/hal-01005864

J. G. Cabrera, Deterioration of concrete due to reinforcement steel corrosion. Cement and Concrete Composite, pp.47-59, 1996.

J. G. Cabrera and P. Ghoddoussi, The effect of reinforcement corrosion on the strength of the steel/concrete bond, International Conference on Bond in Concrete, 1992.

J. Cairns and R. B. Abdullah, Bond strength of black epoxy-coated reinforcement -a theoretical approach, ACI Material Journal, vol.93, issue.4, pp.363-369, 1996.

J. Cairns, Y. Du, and D. Law, Influence of corrosion on the friction characteristics of the steel/concrete interface, Construction and Building Materials, vol.21, issue.1, pp.190-197, 2007.
DOI : 10.1016/j.conbuildmat.2005.06.054

A. Castel and R. François, Arliguie : Modèle de comportement mécanique du béton armé corrodé, C.R. Académie des Sciences de Paris, vol.330, pp.45-50, 2002.

D. Combescure and F. Wang, Assesments of existing rc structures under severe dynamic loading using non linear modelling. CONSEC 07, 2007.

D. Coronelli, Corrosion cracking and bond strength modeling for corroded bars in reinforced concrete, ACI Structural Journal, vol.99, issue.3, pp.267-276, 2002.

D. Coronelli and P. Gambarova, Structural Assessment of Corroded Reinforced Concrete Beams: Modeling Guidelines, Journal of Structural Engineering, vol.130, issue.8, pp.1214-1224, 2004.
DOI : 10.1061/(ASCE)0733-9445(2004)130:8(1214)

J. V. Cox and L. R. Herrmann, Development of a plasticity bond model for steel reinforcement, Mechanics of Cohesive-frictional Materials, vol.31, issue.1, pp.155-180, 1998.
DOI : 10.1002/(SICI)1099-1484(199804)3:2<155::AID-CFM45>3.0.CO;2-S

J. V. Cox and L. R. Herrmann, Validation of a plasticity bond model for reinforcement, Mechanics of Cohesive-Frictional Materials, pp.361-389, 1999.

C. Cremona, Cours de l'Ecole Nationale des Ponts et Chaussées : Sécurité structurale des ouvrages, Ecole Nationale des Ponts et Chaussées, 2005.

C. Cremona and M. J. Houde, Benchmark des poutres de la rance -modélisation déterministe et probabiliste du comportement mécanique simplifié du corps d'´ epreuve, 2006.

M. A. Crisfield and J. Wills, Analysis Of R/C Panels Using Different Concrete Models, Journal of Engineering Mechanics, vol.115, issue.3, pp.578-597, 1989.
DOI : 10.1061/(ASCE)0733-9399(1989)115:3(578)

A. D. Ambrisi and F. C. , Modeling of Cyclic Shear Behavior in RC Members, Journal of Structural Engineering, vol.125, issue.10, pp.1143-1150, 1999.
DOI : 10.1061/(ASCE)0733-9445(1999)125:10(1143)

A. Daoud, Etude expérimentale de la liaison entre l'acier et le béton autoplaçant -contributionà contributionà la modélisation numérique de l'interface, Thèse de doctorat, Institut National des Sciences Appliquées de Toulouse, 2003.

R. De-borst and H. , Gradient-dependent plasticity: Formulation and algorithmic aspects, International Journal for Numerical Methods in Engineering, vol.137, issue.3, pp.521-540, 1992.
DOI : 10.1002/nme.1620350307

F. Deby, Approche probabiliste de la durabilité des béton en environnement marin, Thèse de doctorat, Laboratoire Matériaux et Durabilité des Constructions, 2008.

A. Delaplace, B. Richard, and F. Ragueneau, Combining finite elements and discrete elements methods for fine crack description, International journal of Solids and Structures, 2010.

J. M. Desir, M. R. Romdhane, F. J. Ulm, and E. M. Fairbairn, Steel???concrete interface: revisiting constitutive and numerical modeling, Computers & Structures, vol.71, issue.5, pp.489-503, 1999.
DOI : 10.1016/S0045-7949(98)00308-3

R. Desmorat, Positivit?? de la dissipation intrins??que d'une classe de mod??les d'endommagement anisotropes non standards, Comptes Rendus M??canique, vol.334, issue.10, pp.587-592, 2006.
DOI : 10.1016/j.crme.2006.07.015

R. Desmorat, F. Gatuingt, and F. Ragueneau, Nonlocal anisotropic damage model and related computational aspects for quasi-brittle materials, Engineering Fracture Mechanics, vol.74, issue.10, pp.1539-1560, 2006.
DOI : 10.1016/j.engfracmech.2006.09.012

URL : https://hal.archives-ouvertes.fr/hal-00994382

J. Dolbow, N. Moes, and T. Belytschko, An extended finite element method for modeling crack growth with frictional contact. Computers methods in applied mechanics and engineering, pp.6825-6846, 2001.
URL : https://hal.archives-ouvertes.fr/hal-01461932

N. Dominguez, Etude de la liaison acier-béton : De la modélisation du Phénomènè a la Formulation d'un Elément Finis enrichi (( Béton Armé )), Thèse de doctorat, 2005.

Y. G. Du, A. H. Chan, and L. A. Clark, Finite element analysis of the effects of radial expansion of corroded reinforcement, Computers & Structures, vol.84, issue.13-14, pp.917-929, 2006.
DOI : 10.1016/j.compstruc.2006.02.012

J. F. Dubé, G. Pijaudier-cabot, and C. , LaBorderie : A rate dependent damage model for concrete in dynamics, Journal of Engineering Mechanics ASCE, pp.939-947, 1996.

R. Eligehausen, E. P. Popov, and V. V. Bertero, Local bond stress-slip relationships of deformed bars under generalized excitations, National Science Foundation, 1983.

S. Epaillard, B. Richard, and C. Cremona, Elfgren : Non linear finite element analysis of a 50 year old reinforced concrete bridge : comparison with experimental data and sensitivity analysis, 2009.

C. Fang, K. Gylltoft, K. Lundgren, and M. , Plos : Effect of corrosion on bond in reinforced concrete under cyclic loading, Structural Engineering and Mechanics, vol.19, issue.3, pp.337-346, 2006.

C. Feist and G. Hofstetter, Validation of 3D crack propagation in plain concrete -Part I: Experimental investigation - the PCT3D test, Computers and Concrete, vol.4, issue.1, pp.49-66, 2007.
DOI : 10.12989/cac.2007.4.1.049

D. Fokwa and Y. Berthaud, Matériaux hétérogènes : analyse expérimentale et modélisation numérique par une approche hiérarchique, Thèse de doctorat, 1993.

C. Frantzeskakis, ContributionàContributionà la modélisation des structures en béton armé par la méthodes desélémentsdeséléments finis, Thèse de doctorat, Ecole Nationale des Ponts et Chaussées, 1987.

P. G. Gambarova and G. P. Rosati, Bond and splitting in bar pull-out : behavioural laws and concrete cover role. Magazine of Concrete Research, pp.99-110, 1997.

O. J. Gastebled and I. M. May, Numerical simulation of pulled specimens, ACI Structural Journal, vol.97, issue.2, pp.308-315, 2000.

M. G. Geers, R. De-borst, and R. H. , Damage and crack modeling in single-edge and double-edge notched concrete beams, Engineering Fracture Mechanics, vol.65, issue.2-3, pp.247-261, 2000.
DOI : 10.1016/S0013-7944(99)00118-6

M. Ghandehari, S. Krishnaswamy, and S. Shah, Bond-Induced Longitudinal Fracture in Reinforced Concrete, Journal of Applied Mechanics, vol.67, issue.4, pp.740-748, 2000.
DOI : 10.1115/1.1313822

S. Ghavamian and J. Mazars, Stratégie de calculs simplifiés pour l'analyse du comportement des structures en ba : le code eficos. Revue Française de Génie Civil, pp.61-90, 1998.

Y. Goto, Cracks formed in concrete around bars, ACI Journal, vol.68, issue.4, pp.740-748, 1971.

W. G. Gray and S. M. Hassanizadeh, General conservation equations for multiphase systems : 1. averaging technique, Advanced Water Research, vol.2, pp.131-144, 1979.

W. G. Gray and S. M. Hassanizadeh, General conservation equations for multiphase systems : 2. mass, momenta, energy and entropy transfer, Advanced Water Research, vol.2, pp.191-203, 1979.

J. Guedes, P. Pegon, and A. Pinto, A fibre timoshenko beam element in castem2000. Special publication Nr. I.94.31, 1994.

A. L. Gurson, Continuum theory of ductile rupture by void nucleation and growth : Part iyield criteria and flow rules for porous ductile media, Engineering Materials and Technology, vol.99, pp.461-490, 1977.

J. Hadamard, Leçons sur la propagation des ondes et leséquationsleséquations de l'hydrodynamique, 1903.

A. M. Hasofer and C. Lind, Exact and invariant second-moment code format, Journal of the Engineering Mechanics division, vol.100, 1974.

M. Hassanzadeh, Behavior of fracture process zones in concrete influenced by simultaneously applied normal and shear displacements, Thèse de doctorat, 1991.

R. Hill, A general theory of uniqueness and stability in elastic-plastic solids, Journal of the Mechanics and Physics of Solids, vol.6, issue.3, pp.236-249, 1958.
DOI : 10.1016/0022-5096(58)90029-2

R. Hill, Acceleration waves in solids, Journal of the Mechanics and Physics of Solids, vol.10, issue.1, pp.1-16, 1962.
DOI : 10.1016/0022-5096(62)90024-8

A. Hillerborg, The theoretical basis of a method to determine the fracture energyG F of concrete, Materials and Structures, vol.93, issue.4, pp.291-296, 1985.
DOI : 10.1007/BF02472919

A. Ibrahimbegovic and E. L. Wilson, Unified computational model for static and dynamic frictional contact analysis, International Journal for Numerical Methods in Engineering, vol.3, issue.1, pp.233-247, 1992.
DOI : 10.1002/nme.1620340115

L. Jason, C. Laborderie, C. Giry, B. Richard, M. Chambart et al., Benchmark on the cracking simulation of reinforced concrete ties, 2010.

M. Jirasek and T. Zimmermann, Analysis of Rotating Crack Model, Journal of Engineering Mechanics, vol.124, issue.8, pp.842-851, 1998.
DOI : 10.1061/(ASCE)0733-9399(1998)124:8(842)

M. Jirasek and T. Zimmermann, Rotating Crack Model with Transition to Scalar Damage, Journal of Engineering Mechanics, vol.124, issue.3, pp.227-283, 1998.
DOI : 10.1061/(ASCE)0733-9399(1998)124:3(277)

S. Mori, K. Ramanujam, A. K. Bhargava, and . Ghosh, Analytical model for time to cover cracking in rc structures due to rebar corrosion, Nuclear engineering and Design, vol.236, pp.1123-1139, 2006.

L. M. Kachanov, Time of the rupture process under creep conditions, Izvestiya Akademii Nauk SSR Otd Tekh, vol.8, pp.26-31, 1958.

S. Khalfallah and S. Hamimed, Bond-slip analysis of reinforced concrete members, Revue europ??enne de g??nie civil, vol.9, issue.4, pp.509-521, 2005.
DOI : 10.3166/regc.9.509-521

P. Kotronis, L. Davenne, and J. Mazars, Poutre 3d multifibre timoshenko pour la modélisation des structures en béton armé soumisesàsoumisesà des chargements sévères. Revue Française de Génie Civil, pp.9-3285, 2004.

P. Kotronis and F. Ragueneau, A simplified modelling strategy for R/C walls satisfying PS92 and EC8 design, Engineering Structures, vol.27, issue.8, pp.1197-1208, 2005.
DOI : 10.1016/j.engstruct.2005.03.003

URL : https://hal.archives-ouvertes.fr/hal-01004945

H. B. Kupfer and K. H. Gerstle, Behaviour of concrete under biaxial stresses, ASCE Engineering Mechanics, vol.99, pp.853-856, 1973.

C. Laborderie, Modélisation et ApplicationàApplicationà l'Analyse de Structures en Béton, Thèse de doctorat, 1991.

C. Laborderie, Pijaudier-Cabot : Etude expérimentale des matériaux renforcés détermination des lois de comportement de l'interface fibre/béton, ENS Cachan/LMT, 1987.

P. Ladevèze and J. Lema??trelema??tre, Damage effective stress in quasi unilateral conditions, 16th International congress of theoretical and applied mechanics, 1984.

H. S. Lee, F. Tomossawa, and T. Noguchi, FUNDAMENTAL STUDY ON EVALUATION OF STRUCTURAL PERFORMANCE OF REINFORCED CONCRETE BEAM DAMAGED BY CORROSION OF LONGITUDINAL TENSILE MAIN REBAR BY FINITE ELEMENT METHOD, Journal of Structural and Construction Engineering (Transactions of AIJ), vol.63, issue.506, pp.43-50, 1998.
DOI : 10.3130/aijs.63.43_2

M. Lemaire, Structural reliability, Hermes Science, 2005.
DOI : 10.1002/9780470611708

P. Longuet and L. Burglen, Zelwer : La phase liquide du ciment hydraté, Revue du Matér. Constr, vol.676, pp.35-41, 1976.

J. Lubliner, Plasticity theory. Mac-Millan, 1990.

J. Lubliner, J. Olivier, and S. Oller, A plastic-damage model for concrete, International Journal of Solids and Structures, vol.25, issue.3, pp.299-326, 1989.
DOI : 10.1016/0020-7683(89)90050-4

B. M. Luccioni, D. E. López, and R. F. Danesi, Bond-Slip in Reinforced Concrete Elements, Journal of Structural Engineering, vol.131, issue.11, pp.1690-1700, 2005.
DOI : 10.1061/(ASCE)0733-9445(2005)131:11(1690)

K. Lundgren, Three-Dimensional Modelling of Bond in Reinforced Concrete : Theoretical Model, Experiments and Applications, Thèse de doctorat, 1999.

K. Lundgren, Bond between corroded reinforcement and concrete. Rapport technique, 2001.

K. Lundgren, Modelling the effect of corrosion on bond in reinforced concrete, Magazine of Concrete Research, pp.165-173, 2002.
DOI : 10.1680/macr.2002.54.3.165

K. Lundgren, Bond between ribbed bars and concrete. part 1 : Modified model. Magazine of Concrete Research, pp.371-382, 2005.

K. Lundgren, Bond between ribbed bars and concrete. part 2 : The effect of corrosion. Magazine of Concrete Research, pp.383-395, 2005.

L. A. Lutz and P. Gergely, Mechanics of bond and slip of deformed bars in concrete, ACI Journal, vol.64, issue.11, pp.711-721, 1967.

T. E. Maaddawy and K. Soudki, A model for prediction of time from corrosion initiation to corrosion cracking. Cement and concrete composites, pp.168-175, 2007.

B. N. Maker and T. A. Laursen, A continuum-based finite element formulation for the implicit solution of multibody, large deformation frictional contact problems, International Journal for Numerical Methods in Engineering, vol.36, pp.3451-3485, 1993.

B. N. Maker and T. A. Laursen, A finite element formulation for rod/continuum interactions: The one-dimensional slideline, International Journal for Numerical Methods in Engineering, vol.78, issue.1, pp.1-18, 1994.
DOI : 10.1002/nme.1620370102

J. Mandel, Conditions de stabilitée et postulat de drucker, Rheology and Soil Mechanics, 1966.

P. S. Mangat and M. S. Elgalf, Bond characteristics of corrding reinforcement in concrete beams, Materials and Structures, vol.57, issue.9, pp.89-97, 1999.
DOI : 10.1007/BF02479434

P. S. Mangat and M. S. Elgalf, Flexural strength of concrete beams with corroding reinforcement, ACI Struc. Jour, vol.96, pp.149-158, 1999.

J. J. Marigo, Formulation d'une loi d'endommagement d'un matériaú elastique, Comptes Rendus Mécanique, vol.292, 1981.

M. Matallah and C. , Inelasticity???damage-based model for numerical modeling of concrete cracking, Engineering Fracture Mechanics, vol.76, issue.8, pp.1087-1108, 2009.
DOI : 10.1016/j.engfracmech.2009.01.020

J. Mazars, Application de la mécanique de l'endommagement au comportement non-linéaire etàetà la rupture du béton de structure, Thèse de doctorat, 1984.

J. Mazars, P. Kotronis, F. Ragueneau, and G. Casaux, Using multifiber beams to account for shear and torsion, Computer Methods in Applied Mechanics and Engineering, vol.195, issue.52, pp.7264-7281, 2006.
DOI : 10.1016/j.cma.2005.05.053

URL : https://hal.archives-ouvertes.fr/hal-01079701

R. E. Melchers, Structural reliability, Analysis and Prediction, 1999.

A. Millard, V. L. Hostis, K. Beddiar, and Y. Berthaud, Care : Modelling the cracking of a reinforced concrete structure sumitted to corrosion of steel -first validation of a damage model based on experimental results, 2004.

S. M. Mirza and J. Houde, Study of bond stress-slip relationship in reinforced concrete, ACI Journal Symposium Paper, vol.76, issue.2, pp.19-46, 1979.

N. Moes and T. Belytschko, Extended finite element method for cohesive crack growth, Engineering Fracture Mechanics, vol.69, issue.7, pp.813-833, 2002.
DOI : 10.1016/S0013-7944(01)00128-X

URL : https://hal.archives-ouvertes.fr/hal-01461938

F. J. Molina, C. Alonso, and C. , Cover cracking as a function of rebar corrosion: Part 2???Numerical model, Materials and Structures, vol.6, issue.9, pp.532-548, 1993.
DOI : 10.1007/BF02472864

G. Monti, F. C. Filippou, and E. Spacone, Analysis of hysteretic behaviour of anchored reinforcing bars, ACI Structural Journal, vol.94, issue.2, pp.248-261, 1997.

H. B. Muhlhaus and E. C. , A variational principle for gradient plasticity, International Journal of Solids and Structures, vol.28, issue.7, pp.845-857, 1991.
DOI : 10.1016/0020-7683(91)90004-Y

A. Needleman and V. Tvergaard, An analysis of ductile rupture in notched bars, Journal of the Mechanics and Physics of Solids, vol.32, issue.6, pp.461-490, 1984.
DOI : 10.1016/0022-5096(84)90031-0

A. Needlemann, Material rate dependence and mesh sensitivity in localization problems, Computer Methods in Applied Mechanics and Engineering, vol.67, issue.1, pp.69-85, 1988.
DOI : 10.1016/0045-7825(88)90069-2

A. Neville, Corrosion of reinforcement. Concrete, pp.135-190, 1983.

D. Ngo and A. C. , Scordelis : Finite elements analysis of reinforced concrete beams. American Concrete Institute, pp.152-163, 1967.

A. H. Nilson, Nonlinear analysis of reinforced concrete by the finite element method. American Concrete Institute, pp.757-766, 1968.

J. Oliver, MODELLING STRONG DISCONTINUITIES IN SOLID MECHANICS VIA STRAIN SOFTENING CONSTITUTIVE EQUATIONS. PART 1: FUNDAMENTALS, International Journal for Numerical Methods in Engineering, vol.7, issue.21, pp.3575-3600, 1996.
DOI : 10.1002/(SICI)1097-0207(19961115)39:21<3575::AID-NME65>3.0.CO;2-E

J. Oliver, MODELLING STRONG DISCONTINUITIES IN SOLID MECHANICS VIA STRAIN SOFTENING CONSTITUTIVE EQUATIONS. PART 2: NUMERICAL SIMULATION, International Journal for Numerical Methods in Engineering, vol.19, issue.21, pp.3601-3623, 1996.
DOI : 10.1002/(SICI)1097-0207(19961115)39:21<3601::AID-NME64>3.0.CO;2-4

J. Olivier, A consistent characteristic length for smeared cracking models, International Journal for Numerical Methods in Engineering, vol.52, issue.2, pp.461-478, 1989.
DOI : 10.1002/nme.1620280214

M. Ortiz and J. C. , An analysis of a new class of integration algorithms for elastoplastic constitutive relations, International Journal for Numerical Methods in Engineering, vol.51, issue.3, pp.353-366, 1986.
DOI : 10.1002/nme.1620230303

A. Ouglova, Etude du comportement mécanique des structures en béton armé atteintes part la corrosion, Thèse de doctorat, 2004.

J. Ozbolt and Z. P. Bazant, Numerical smeared fracture analysis : Non local microcrack interaction approach, Int. J. of Numerical Methods in Engineering, vol.39, issue.4, pp.163-179, 1996.

J. Ozbolt, S. Lettow, and I. Kozar, Discrete bond element for 3d finite element analysisof reinforced concrete structures, International Conference on Bond in Concrete held at the Budapest University of Technology and Economics, pp.9-19, 2002.

R. H. Peerlings, R. De-borst, W. A. Brekelmans, and J. H. De-vree, GRADIENT ENHANCED DAMAGE FOR QUASI-BRITTLE MATERIALS, International Journal for Numerical Methods in Engineering, vol.23, issue.19, pp.3391-3403, 1996.
DOI : 10.1002/(SICI)1097-0207(19961015)39:19<3391::AID-NME7>3.0.CO;2-D

M. Petrangeli, P. E. Pinto, and V. Ciampi, Fiber element for cyclic bending and shear of rc structures. i : Theory. Earthquake Engineering and Structural Dynamics, pp.994-1001, 1999.

G. Pijaudier-cabot and Z. P. , Nonlocal Damage Theory, Journal of Engineering Mechanics, vol.113, issue.10, pp.1512-1533, 1987.
DOI : 10.1061/(ASCE)0733-9399(1987)113:10(1512)

I. P-`-etre-lazar and B. Gérard, Mechanical behaviour of corrosion products formed at the steel-concrete interface. testing and modelling, Condition monitoring of materials and structures, 2000.

R. Rackwitz and B. Fiessler, Structural reliability under combined random load sequences, Computers & Structures, vol.9, issue.5, 1978.
DOI : 10.1016/0045-7949(78)90046-9

F. Ragueneau, Fonctionnement dynamique des structures en béton, Thèse de doctorat, 1999.

F. Ragueneau, R. Desmorat, and F. Gatuingt, Anisotropic damage modelling of biaxial behaviour and rupture of concrete structures, Computers and Concrete, vol.5, issue.4, pp.417-434, 2008.
DOI : 10.12989/cac.2008.5.4.417

URL : https://hal.archives-ouvertes.fr/hal-00994323

F. Ragueneau and N. Dominguez, Thermodynamic-based interface model for cohesive brittle materials: Application to bond slip in RC structures, Computer Methods in Applied Mechanics and Engineering, vol.195, issue.52, pp.7249-7263, 2006.
DOI : 10.1016/j.cma.2005.04.022

URL : https://hal.archives-ouvertes.fr/hal-00115375

F. Ragueneau, B. Richard, C. Cremona, and Y. Berthaud, Damage mechanics applied to the modelling of corroded reinforced concrete structures, European Journal of Environmental and Civil Engineering, vol.195, issue.52, 2010.
DOI : 10.1061/(ASCE)0733-9399(1992)118:12(2442)

A. Raharinaivo, J. Arliguie, T. Chaussadent, G. Grimaldi, G. Pollet et al., La corrosion et la protection des aciers dans le béton, 1998.

S. Ramtani, ContributionàContributionà la modélisation multiaxiale du béton incluant les effets unilatéraux, Thèse de doctorat, 1990.

Y. R. Rashid, Ultimate strength analysis of prestressed concrete pressure vessels, Nuclear Engineering and Design, vol.7, issue.4, pp.334-344, 1968.
DOI : 10.1016/0029-5493(68)90066-6

G. Rehm, The fundamental law of bond, proceedings of the symposium on Bond and Crack Formation in Reinforced Concrete, 1958.

G. Rehm, The basic principle of bond between steel and concrete. Deustcher Ausschuss für Stahlbeton, 1961.

J. R. Rice, The localization of plastic deformation, Theoretical and Applied Mechanics. Proceedings of the 14th IUTAM Congress, 1976.

B. Richard, C. Cremona, and L. Adelaide, An efficient robust updating methodology based on bayesian networks : application to existing structures. Reliability Engineering and System Safety, en soumission, 2010.

B. Richard and C. Cremona, Adelaide : A coupling bayesian/reliability approach for robust updating applications, 2011.

B. Richard, C. Cremona, and F. Ragueneau, Adelaide : A simplified multifiber approach for assessing the load carrying capacity of reinforced concrete structures subjected to corrosion, ASCE Engineering Mechanics, 2010.

B. Richard, A. Delaplace, C. Cremona, and F. Ragueneau, Combining finite/discrete element models : a post-processing tool for fine crack in concrete structures. FRAMCOS'10, 2010.

B. Richard, S. Epaillard, C. Cremona, L. Elfgren, and L. Adelaide, Non linear finite element analysis of a 50 years old reinforced concrete trough bridge. Engineering Structures, accepté, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00904249

B. Richard, E. Martin, F. Ragueneau, C. Cremona, and L. Adelaide, Three-dimensional numerical analysis of reinforced concrete beams subjected to corrosion, 2010.

B. Richard, F. Ragueneau, L. Adelaide, C. Cremona, and J. L. , Tailhan : Formulation thermodynamique d'une loi de comportement d'un matériau quasi-fragile couplantélasticitécouplantélasticité, endommagement et frottement : le béton, 2009.

B. Richard, F. Ragueneau, L. Adelaide, C. Cremona, and J. L. , Tailhan : Modélisation du comportement de l'interface acier/béton en présence de corrosion, CFM'09, 2009.

B. Richard, F. Ragueneau, and C. Cremona, Adelaide : A multifiber approach to describe the ultimate behaviour of corroded reinforced concrete structures, 2010.

B. Richard, F. Ragueneau, C. Cremona, and L. , A three-dimensional steel/concrete interface model including corrosion effects, Engineering Fracture Mechanics, vol.77, issue.6, pp.951-973, 2010.
DOI : 10.1016/j.engfracmech.2010.01.017

URL : https://hal.archives-ouvertes.fr/hal-00508776

B. Richard, F. Ragueneau, C. Cremona, L. Adelaide, and J. L. Tailhan, Isotropic damage model coupled to frictional sliding to model the cylic behaviour of reinforced concrete elements. COMPLASX'09, 2009.

B. Richard, F. Ragueneau, C. Cremona, L. Adelaide, and J. L. , Tailhan : A new formulation based on thermodynamical assessments to model steel-concrete interface behaviour including corrosion effects. COMPLASX'09, 2009.

B. Richard, F. Ragueneau, C. Cremona, L. Adelaide, and J. L. Tailhan, Isotropic continuum damage mechanics for concrete under cyclic loading: Stiffness recovery, inelastic strains and frictional sliding, Engineering Fracture Mechanics, vol.77, issue.8, pp.1203-1223, 2010.
DOI : 10.1016/j.engfracmech.2010.02.010

URL : https://hal.archives-ouvertes.fr/hal-00509022

J. Rodriguez, L. M. Ortega, and J. Casal, Load carrying capacity of concrete structures with corroded reinforcement, Construction and Building Materials, vol.11, issue.4, pp.239-248, 1997.
DOI : 10.1016/S0950-0618(97)00043-3

J. Rodriguez, L. M. Ortega, F. Munoz, and A. M. Garcia, Corrosion des armatures et durée de service des construction en béton, Symposium International CEFRACOR -Diagnostic 98, 1995.

M. R. Romdhane and F. J. Ulm, Computational mechanics of the steel-concrete interface, International Journal for Numerical and Analytical Methods in Geomechanics, vol.44, issue.2, pp.99-120, 2002.
DOI : 10.1002/nag.158

P. Rossi and S. Richer, Numerical modelling of concrete cracking based on a stochastic approach, Materials and Structures, vol.20, issue.5, pp.334-337, 1987.
DOI : 10.1007/BF02472579

P. Rossi and F. Ulm, Size effects in the biaxial tensile-compressive behaviour of concrete: physical mechanisms and modelling, Materials and Structures, vol.17, issue.7, pp.210-216, 1997.
DOI : 10.1007/BF02486178

P. Rossi, F. Ulm, and F. Hachi, Compressive Behavior of Concrete: Physical Mechanisms and Modeling, Journal of Engineering Mechanics, vol.122, issue.11, pp.1038-1043, 1996.
DOI : 10.1061/(ASCE)0733-9399(1996)122:11(1038)

P. Rossi, X. Wu, and F. L. Maou, Belloc : Scale effect of concrete in tension, Materials and Structures, vol.20, pp.437-444, 1997.

K. K. Sagoe-centsil and F. P. Glasser, Analysis of the steel : concrete interface, pp.74-86, 1990.

P. Sandberg, Critical evaluation of factors affeting chloride initiated reinforcement corrosion in concrete, 1995.

E. Schlangen, Experimental and numerical analysis of fracture processes in concrete, Thèse de doctorat, 1993.

S. Sener, Z. P. Bazant, and E. Becq-giraudon, Size Effect on Failure of Bond Splices of Steel Bars in Concrete Beams, Journal of Structural Engineering, vol.125, issue.6, pp.653-660, 1999.
DOI : 10.1061/(ASCE)0733-9445(1999)125:6(653)

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.821-840, 1995.
DOI : 10.1016/0020-7683(87)90083-7

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

E. Spacone, F. C. Filippou, and F. F. , Taucer : Fiber beam column model for nonlinear analysis of rc frames. i : Formulation. Earthquake Engineering and Structural Dynamics, pp.711-725, 1996.

A. Sulaimani, K. Kaleemullah, and I. A. Basunbul, Rasheeduzzafar : Influence of corrosion and cracking on bond behaviour and strength of reinforced concrete members, ACI Structure Journal, vol.87, pp.220-231, 1990.

J. L. Tailhan, S. Dalpont, and P. Rossi, From local to global probabilistic modeling of concrete cracking, Annals of Solid and Structural Mechanics, vol.74, issue.21, pp.103-115, 2010.
DOI : 10.1007/s12356-010-0008-y

URL : https://hal.archives-ouvertes.fr/hal-00549844

R. Tepfers, Cracking of concrete cover along anchored deformed reinforcing bars. Magazine of Concrete Research, pp.3-12, 1979.

M. Terrien, Emission acoustique et comportement mécanique post critique d'un béton sollicité en traction, BLPC, vol.105, pp.65-72, 1980.

T. Y. Thomas, Plastic flow and fracture of solids, 1961.

S. C. Ting and A. S. Nowak, Effect of reinforcing steel area loss on flexural behavior of reinforced concrete beams, ACI Structural Journal, vol.88, issue.3, pp.309-314, 1991.

K. Turk, S. Caliskan, and M. S. Yildirim, Influence of loading condition and reinforcement size on the concrete/reinforcement bond strength, Structural Engineering and Mechanics, vol.19, issue.3, pp.548-555, 2006.
DOI : 10.12989/sem.2005.19.3.337

T. Uomoto and S. Mirsa, Behaviour of concrete beams and columns in marine environment when corrosion of reinforcing bars take place, ACI Special Publication, pp.109127-145, 1998.

D. V. Val, M. G. Stewart, and R. E. , Melchers : Effect of reinforcement corrosion on reliability of highway bridges, Engineer Structures, vol.11, pp.1010-1019, 1998.

A. H. Vervuurt and G. Leegwater, Tno report 2008-d-r0010. tno built environment sustainable bridges sb7.3 field test of a concrete bridge in¨Ornsköldsvikin¨ in¨Ornsköldsvik The Netherlands, 2008.

S. Viawanthanatepa, Bond deterioration of reinforced bars embedded in confined concrete blocks, Thèse de doctorat, 1979.

N. A. Vu, Etude du comportement mécanique de poutres en béton armé dégradées par corrosion

J. C. Walraven, Aggregate interlock : a theoretical and experimental analysis, Thèse de doctorat, 1980.

F. Wang, S. Lavarenne, T. Chaudat, D. Combescure, T. Payen et al., Simulation analysis of static and shaking table tests on rc columns with insufficient lap splices. SMIRT 19th Conference, 2007.

X. Wang and X. Liu, Bond strength modeling for corroded reinforcements, Construction and Building Materials, vol.20, issue.3, pp.177-186, 2006.
DOI : 10.1016/j.conbuildmat.2005.01.015

K. Willam, E. Pramono, and S. Sture, Fundamental Issues of Smeared Crack Models, International Conference on Fracture of concrete and rock, pp.192-207, 1987.
DOI : 10.1007/978-1-4612-3578-1_15

J. Zuo and D. Darwin, Bond slip of high relative rib area bars under cyclic loading, ACI Journal, vol.97, issue.2, pp.331-334, 2000.