, Analyse probabiliste du vieillissement-Cas d'étude : La maquette VeRCoRs

?. Introduction,

, Stratégie globale de couplage probabiliste ???????????????????????????????? 5.2.1 Méthodes stochastiques et indicateurs de sensibilité ?????????????????????????

, Les approches de type Monte Carlo ??????????????????????????????????

?. Les-approches-de-fiabilité,

?. Les-approches-spectrales,

, 1.3.1 Méthode de type Galerkin ?????????????????????????????????????

, Approches retenues pour l'analyse probabiliste du comportement THM-F du béton ????????

, Analyse probabiliste du comportement THM-F du béton ?????????

, Distributions des paramètres influents ?????????????????????????????????

?. Comportement-thermique-au-jeune-Âge,

, Surface de réponse et analyse de sensibilité globale ????????????????????????? 5.3.2.2 Analyse probabiliste??????????????????????????????????????????

?. Analyse-probabiliste,

?. Comportement-hydrique,

?. Comportement-mécanique-différé,

, Surface de réponse et analyse de sensibilité globale ????????????????????????? 5.3.5.1.1 Déformations différées ???????????????????????????????????????

, 2.1 Déformations différées ???????????????????????????????????????

?. Débit-de-fuite,

, Débit d'air sec { travers la masse ???????????????????????????????????. 5.3.6.1.1 Surface de réponse et analyse de sensibilité globale ???????????????????????? 5.3.6.1.2 Analyse probabiliste ?????????????????????????????????????????. 5.3.6.2 Débit d'air sec { travers les ouvertures de fissures ?????????????????????????

, Surface de réponse et analyse de sensibilité globale ???????????????????????? 5.3.6.2.2 Analyse probabiliste ?????????????????????????????????????????

, Analyse fiabiliste du taux de fuite global ???????????????????????????????

. Abbas, Gas permeability of concrete in relation to its degree of saturation. Materials and structures, vol.32, pp.3-8, 1964.

P. Acker, Nouveaux bétons, couplages de performance. 2 ème rencontre doctorale Génie Civil, 2001.

P. Acker, Sur les origines du retrait et du fluage du béton. Revue française de Génie Civil, vol.7, pp.761-776, 2003.

A. S. London and . Uk-[asali, Numerical Strategy for forecasting the leakage rate of inner contnaimens in doublé-wall nuclear reactor buildings, Journal of advanced concrete technology, vol.14, pp.408-420, 1915.

M. Asali-;-asali, Modélisation et prévision du comportement thermo-hydro-mécanique d'une paroi en béton-application au cas des enceintes de confinement des bâtiments réacteurs nucléaires, 2016.

[. Baghban, Characterization and identification of equilibrium and transfer moisture properties for ordinary and high-performance cementitious materials, Cement and concrete research, vol.46, issue.9, pp.12225-1238, 1999.

[. Baroth, SFEM using Hermite Polynomials: an approach for solving nonlinear problems with uncertain parameters, Comp. Meth. Appl. Mech, vol.195, pp.6479-6501, 2005.

[. Baroth, An efficient SFEM using Lagrange Polynomials: application to nonlinear mechanical problems with uncertain parameters, Materials and structures, vol.196, issue.1, pp.3-20, 1972.

|. D. -m.-b-o-u-h-j-i-t-;-ba?ant, Mathematical models for creep and shrinkage in concrete. Creep and shrinkage in concrete structures, Matériaux et constructions, vol.16, issue.3, pp.155-177, 1982.

[. Ba?ant, Concrete creep at variable humidity: Constituve law and mechanisms. Materials and Structures, vol.18, pp.1-20, 1985.

[. Ba?ant, Solidification theory for concrete creep I, Formulation. Engineering Mechanics, vol.115, issue.8, pp.1691-1703, 1989.

[. Ba?ant, Measurements of characteristic length of nonlocal continuum. Engineering mechanics, vol.115, pp.755-767, 1989.

[. Ba?ant, Drying and cracking in box-girder bridge segment, Journal of Structural Engineering, vol.118, issue.1, pp.305-321, 1992.

[. Ba?ant, Drying creep of concrete: constitutive model and new experiments separating its mechanisms, Materials and Structures, vol.27, pp.3-14, 1994.

[. Ba?ant, Microprestresssolidification theory for concrete creep. I: Aging and drying effects, Engineering Mechanics, vol.123, issue.11, pp.1188-1194, 1997.

Z. P. Ba?ant and Z. P. Ba?ant, Size effect in tensile and compression fracture of concrete structures: computational modeling and design, Proc. 4 th RILEM Int. Symposium on creep and shrinkage of concrete: mathematical modeling. Avanston, vol.110, pp.703-725, 1984.

Z. P. Ba?ant, Z. P. Ba?ant, A. Bazzoni, R. E. Bellman, F. Benboudjema et al., Modélisation des déformations différées du béton sous sollicitations biaxiales. Application aux enceintes de confinement de bâtiments réacteurs des centrales nucléaires. Thèse Ecole National Supérieure de Cachan, Materials and Structures, vol.37, issue.10, pp.1073-1080, 1961.

[. Berveiller, Stochastic Finite element : a nonintrusive approach by regression, Comput. Mech, vol.15, issue.1-3, pp.81-92, 2006.

[. Berveiller, Bayesian updating of long-term creep strains in concrete containment vessels using a non-intrusive stochastic finite Bibliographie, 2007.

|. D. -m.-b-o-u-h-j-i-t-;-berveiller, M. , L. Pape, Y. Bruno, and S. , Updating the long-term creep strains in concrete containment vessels by using Markov chain Monte Carlo simulation and polynomial chaos expansions, Applications of statistics and Probability in Civil Engineering, vol.8, pp.425-440, 2012.

Y. Billard and . Bissonnette, Thermal dilation and autogenous deformation as driving forces to self-induced stresses in high performance concrete, Contribution { l'étude des transferts de fluides au sein d'une paroi en béton-application au cas des enceintes de confinement en conditions d'épreuve et accidentelle, vol.29, pp.192-197, 1929.

R. Bogue and . H-;-bottoni, Topological search for the crack pattern from a continuum mechanical computation. Engineering structures, vol.99, pp.346-359, 1995.

;. Boucher and M. Boucher, Analyse du transfert spatio-temporel des déformations entre le coeur d'un ouvrage épais et son parement : application aux enceintes de confinement, 2016.

D. Breysse, Numerical study of the effect of inhomogeneities and boundary conditions on the tensile strength of concrete, Materials, vol.88, issue.5, pp.489-498, 1991.

[. Briffaut, Numerical analysis of the thermal active restrained shrinkage ring test to study the early age behavior of massive concrete structures, Engineering Structures, vol.33, issue.4, pp.1390-1401, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00881450

[. Briffaut, Effects of early age thermal behaviour on damage risks in massive concrete structures, Civil and Environmental Engineering, vol.16, issue.5, pp.589-605, 2012.
URL : https://hal.archives-ouvertes.fr/hal-01695968

, Creep consideration effect on meso-scale modelling of concrete hydration process and consequence on the mechanical behaviour. Engineering Mechanics, p.139, 2013.

M. Briffaut, Etude de la fissuration au jeune âge des structures massives en béton: influence de la vitesse de refroidissement, des reprises de bétonnage et des armatures, vol.29, pp.131-141, 1977.

F. Brue and . Buffo-lacarrière, Application of thermohydro-chemo-mechanical model for early age behaviour of concrete to experimental massive reinforced structures with strain-restraining system, European Journal of Environmental and Civil Engineering, vol.18, issue.7, pp.814-827, 2011.

, Induced anisotropic permeability due to drying of concrete, Cement and Concrete Research, vol.33, issue.5, pp.679-687, 2003.

G. C. Bye, Portland cement: Composition, production and properties, 1999.

[. Cagnon, Influence des variations thermo-hydro-mécaniques sur le comportement différé du béton, Environ. Model. Softw, vol.76, pp.1509-1518, 2007.

S. Caré, Effect of temperature on porosity and on chloride diffusion in cement pastes, Construction and Building Materials, vol.22, issue.7, pp.1560-1573, 2008.

M. Cavazzuti and . Chang, Optimization methods: from theory to design of scientific and technological aspects in mechanics, App. Math. Model, vol.19, issue.2, pp.95-105, 1995.

, EDF Study of 10-years concrete creep under unidirectional and biaxial loading: Evolution of Poisson coefficient under sealed and unsealed conditions, Cement and concrete Research, vol.10, pp.79-88, 2007.

[. Choinska, Matching permeability law from diffuse damage to discontinuous rack opening, Proc. Fracture Mechanics of Concrete and Concrete Structures, vol.1, pp.541-547, 2007.

P. Choktaweekarn, W. Saengsoy, and S. Tangrmsirikul, Effet de la température, du chargement mécanique et de leurs interactions sur la perméabilité du béton de structure, vol.61, pp.271-280, 2006.

[. Comi, Early-age behaviour of the concrete surrounding a turbine spiral case: Monitoring and thermo-mechanical modeling. Engineering structures, Proc, 1 st conf. on Applications of Statistics and Probability to Soil and Structural Engineering, vol.1, pp.130-144, 1971.

J. Costaz and S. C. Cotter, Confinement des enceintes. Note interne d'EDF de référence B3290, Biometrika, vol.66, issue.2, pp.317-320, 1979.

. Bibliographie,

|. D. -m.-b-o-u-h-j-i-t-i-;-courtois, , vol.2, pp.49-59, 2011.

. Courtois, Pourquoi mesurer la teneur en eau dans les ouvrages en béton? 23 ème Congrès Français de la Mécanique, Constitutive modeling of unsaturated drying deformable materials. Engineering mechanics, p.124, 1998.

O. Coussy-;-coussy and . Cusatis, Confinement-shear lattice model for concrete damage in tension and compression: II. Computation and validation. Engineering Mechanics, vol.129, pp.1449-1458, 1991.

[. Daïan, Condensation and isothermal water transfer in cement mortar. Part I-Pore size distribution, equilibrium, water condensation and imbibition, Transport in Porous Media, vol.3, issue.6, pp.563-589, 1988.

. Dal-pont, A multiphase thermo-hydromechanical model for concrete at high temperatures-Finite element implementation and validation under LOCA load, Nuclear Engineering and Design, vol.237, issue.22, pp.2137-2150, 2007.

C. Daniel-;-daniel, M. David, R. L. Day, and B. R. Gamble, Approche multi-échelle du comportement mécanique des structures en béton armé-Application aux enceintes de confinement des centrales nucléaires, Cement and Concrete Research, vol.68, issue.4, pp.529-540, 1973.

. De-larrard, Concrete calcium leaching at variable temperature : experimental data and numerical model inverse identification, Computational Material Science, vol.49, pp.35-45, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00542649

. De-larrard, Effect of the young modulus variability on the mechanical behaviour of a nuclear containment vessel, Nuclear engineering and Design, vol.240, issue.12, pp.4051-4060, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00542640

D. Larrard-;-de-larrard and F. , Concrete Optimisation with Regard to Packing Density and Rheology. 3 rd RILEM international symposium on rheology of cement suspensions such as fresh concrete. France [De Larrard, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00595686

. Schutter, Degree of hydration-based description of mechanical properties of early age concrete, Materials and structures, vol.29, issue.6, pp.260-265, 1996.

D. Viso, Size and shape effects on the compressive strength of high strength concrete, Proc. Of the 6th Int. Conf. on Fracture Mechanics of Concrete and Concrete Structures, pp.1297-1304, 2007.

G. Deodatis, Bounds on response variability of stochastic finite element systems, Eng. Mech, vol.116, issue.3, pp.565-585, 1990.

G. Deodatis, He weighted integral method. I: stchastis stiffness matrix, Eng. Mech, vol.117, issue.8, pp.1851-1864, 1991.

[. Der-kiureghian, Second order reliability approximation, Eng. Mech, vol.113, issue.8, pp.1208-1225, 1987.

[. Der-kiureghian, Efficient algorithms for second reliability analysis, Eng. Mech, vol.117, issue.12, pp.2906-2923, 1991.

[. Der-kiureghian, Structural reliability under incomplete probability information, Engineering Mechanics, vol.112, issue.1, pp.85-104, 1986.

[. Der-kiureghian, The stochastic finite element method in structural reliability, Probabilistic engineering mechanics, vol.3, issue.2, pp.83-91, 1988.

, Monte Carlo algorithms for evaluating Sobol' sensitivity indices, Mathematics and Computers In Simulation. 81, vol.42, issue.10, pp.506-514, 2010.

[. Ditlevsen, Structural reliability methods. J. Wiley and sons. Chichester, Structural reliability methods. Coastal, maritime and structural engineering. Technical university of Denmark, pp.33-55, 1996.

, Extraction of a crack opening from a continuous apraoch using regularized damage models, Computers and concrete, vol.5, issue.4, pp.375-388, 2008.

[. Dufour, Estimate of crack opening from a 2D continuum-based FE computation, Numerical and Analytical methods in Geomechanics, vol.36, pp.1813-1830, 2012.

F. Dufour, Contributions à la modélisation numérique de la fissuration dse structures en béton avec prise en compte du fluage et estimation de la perméabilité. Matériaux. Habilitation à diriger des recherches, 2007.

, Rapport définitif de sûreté, 2017.

J. G. Edward, Permeability, diffusivity, and microstructural parameters: A critical review, Cement and Concrete Research, vol.20, issue.4, pp.591-601, 1990.

. El-dandachy, Effect of creep in traction on concrete permeability. 23ème Congrès Français de Mécanique, 2017.

. Dandachy, An original semi-discrete approach to assess gas conductivity of concrete structures. Numerical and analytical methods in geomechanics, vol.41, pp.940-956, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01876931

E. Dandachy-;-el-dandachy and M. E. , Mechanical behavior of cohesive concrete-rock joints at the dam-foundation interface : geometrical and mechanical influence of asperities, 2016.

. El-jaizairi, The hydration of cement past using the semi-isothermal method of derivative thermogravimetry, Cement and Concrete Research, vol.10, issue.3, pp.548-552, 1980.

|. D. -m.-b-o-u-h-j-i-t-i,

[. Faria, Modelling of concrete at early ages: Application to an externally restrained slab. Cement and concrete composites, vol.28, pp.572-585, 2006.

, A new creep model for NPP containment behaviour prediction. International conference on Numerical modeling Strategies for sustainable concrete structures, Mechanics of cohesive-frictional materials, vol.4, p.1807, 1807.

J. J. Fourier, Analytical theory of Heat. Cosimo classics, 1811.

[. Gamble, Creep of concrete in compression during drying and wetting, vol.104, pp.129-138, 1978.

[. Gao, Improvement of autogenous shrinkage measurement for cement paste at very early age: Corrugated tube method using non-contact sensors, Construction and Building Materials, vol.55, pp.57-62, 2014.

[. Gary, Adaptive Response Surface Method-A global optimization scheme for computation-intensive design problems. Eng, Mech. Cohes.-Frict. Mater, vol.3, issue.6, pp.37-74, 1999.

[. Gawin, A simulation of damage-permeability coupling in hydro-thermo-mechanical analysis of concrete at high temperature. Communication in numerical methods in engineering, vol.18, pp.17-41, 1991.

[. Ghannoum, Prediction of the size effect in concrete structures using ana analytical approach to the weakest link and localization method (WL2), Univ. Grenoble Alpes. France, vol.50, issue.31, pp.23-27, 1973.

[. Giry, Stress-based nonlocal damage model, Solids and Structures, vol.48, pp.3431-3443, 2011.
URL : https://hal.archives-ouvertes.fr/hal-01545303

, Response and eigenvalue analysis of stochastic finite element systems with multiple correlated material and geometric properties, Probabilistic Engineering Mechanics, vol.16, issue.1, pp.11-29, 2001.

. Bibliographie,

|. D. -m.-b-o-u-h-j-i-t-i-;-granger, Delayed behavior of concrete in nuclear power plant containments: analysis and modeling, Proc. of the 4 th Int. Rilem Symp. On creep and shrinkage of concrete, pp.751-756, 1993.

, A mock-up near Civaux nuclear power plant for Containment Evaluation under Severe Accidents-the CESA Project, FISA-97. Symposium on EU Research on Severe Accidents, pp.293-302, 1997.

, Mechanical and leakrate predictions for nuclear power plant containments in accidental conditions, Nuclear engineering and design, vol.203, issue.1, pp.39-55, 2001.

, Containment Evaluation under Severe Accidents (CESA): synthesis of the predictive calculations and analysis of the first experimental results obtained on the Civaux mock-up, Nuclear engineering and design, vol.209, issue.1-3, pp.155-163, 2001.

L. Granger-;-granger, Three-Dimensional Network Model for Coupling of Fracture and Mass Transport in Quasi-Brittle Geomaterials, Résistance du béton dans l'ouvrage : la maturométrie. Techniques et méthodes des laboratoires des ponts, vol.9, pp.380-380, 1965.

H. Hadjab, Fracture process zone in concrete beams: experimental investigation and numerical modelling, Proc. of the SEM Annual Conf. Albuquerque New Mexico USA, vol.1, pp.21-25, 1977.

[. Hawchar, Principal Component Analysis and Polynomial Chaos Expansion for Time-Variant Reliability Problems, Reliability Engineering & System Safety, vol.167, pp.406-416, 2017.

, The PACE-1450 Test Campaign-Leakage Behaviour of a Pre-Stressed Concrete Containment Wall Segment, Eng. Mat, vol.711, pp.863-871, 2016.

A. Hilaire and F. Hild, Etude des déformations différées des bétons en compression et en traction, du jeune âge au long terme. Thèse Ecole Nationale Supérieure de Cachan, Cement and concrete research, vol.6, issue.6, pp.773-782, 1976.

A. Hillerborg-;-hillerborg, Application of fracture mechanics to concrete: summary of a series of lectures, Report TVBM. Division of Building Materials, vol.3030, 1988.

|. D. and .. Hoover, The effect of mechanical stress on permeability of concrete: A review, Engineering Fracture Mechanics, vol.114, issue.4, pp.213-220, 2009.

G. Irwin and . Ishida, Enhanced modelling of moisture equilibrium and transport in cementitious materials under arbitrary temperature and relative humidity history. Cement and Concrete Research, Effets de la variabilité des propriétés de matériaux cimentaires sur les transferts hygrothermiquees : développement d'une approche probabiliste, vol.6, pp.237-247, 1957.

, Probabilistic Model Code. Part 3: Material Properties, Joint Committee on Structural Safety, pp.978-981, 2000.

H. Jennings, Colloid model of C-S-H and implications to the problem of creep and shrinkage, Materials and Structures, vol.37, issue.1, pp.59-70, 2004.

[. Jensen, Water-entrained cement-based materials: II. Experimental observations, Cement and Concrete Research, vol.32, issue.6, pp.973-978, 2002.

[. Jensen, A Numerical Comparison of Ionic Multi-Species Diffusion with and without Sorption Hysteresis for Cement-Based Materials, Transp Porous Med, vol.107, issue.1, pp.27-47, 2015.

O. M. Jensen-;-jensen and B. F. Johannesson, Pre study on diffusion and transient condensation of water vapor in cement mortar, Cement and Concrete Research, vol.32, issue.6, pp.955-962, 1994.

H. Kallel, Infuence de la temperature et de l'hygrométrie sur le comportement instantané du béton, 2016.

|. D. -m.-b-o-u-h-j-i-t-;-kanavaris, Prediction of the earlyage behaviour of the gusset of the nuclear containment vessel, Proc. Of Int. Workshop VERCORS, vol.144, 2016.

, Thermal and mechanical modeling of young concrete based on hydration process of multi-component cement materials-Thermal cracking in concrete at early age, Geophysical Research Letters, vol.30, issue.24, pp.11-18, 1994.

, Reaction kinetics of Portland cement mortars hydrated at different temperatures, Cement and Concrete Research, vol.22, issue.1, pp.112-120, 1992.

, Activation energy of creep of hardened cement paste, Matériaux et constructions, vol.2, issue.1, pp.11-16, 1969.

E. O. Kraemer, D. P. Kroese, T. Brereton, T. Taimre, and Z. I. Botev, Why the Monte Carlo method is so important today, WIREs Comput Stat, vol.6, issue.6, pp.386-392, 1931.

L. 'hermite, Retrait et fluage des bétons, Annales de l'Institut Technique de Bâtiments et des Travaux Publics, vol.249, pp.1319-1337, 1968.

S. Hermite-;-l'hermite, Influence de la dimension absolue sur la résistance de flexion, Annales de l'I.T.B.T, pp.309-310, 1973.

A. Lagcha-;-lagcha, Contribution { l'étude des transferts gazeux et liquides au sein des parois en béton endommagées sous sollicitations thermo-hydrique-application au cas des encenites de confinement en conditions d'épreuve ou accidentelle, 2006.

, Méthodes d'essai N°58 : Caractéristiques microstructurales et propriétés relatives à la durabilité des bétons. Techniques et méthodes des laboratoires des ponts et chaussées, Laboratoire Central des Ponts et Chaussées, vol.27, issue.10, pp.596-605, 1904.

. Le-maître, Uncertainty propagation using Wiener-Haar expansions, Compt. Phys, vol.197, pp.28-57, 2004.

. Le-pape, Numerical analysis of the delayed behavior of french NNP double containments, VIII International Conference on Computational Plasticity, 1988.

, Experimental study on the convective heat transfer coefficient of early-age concrete. Cement and Concrete Composites, vol.31, pp.60-71, 2009.

[. Li, Optimal discretization of random fields. Engineering mechanis, vol.119, pp.1136-1154, 1993.

, Early-age hydration of fresh concrete monitored by non-contact electrical resistivity measurement, Cement and Concrete Research, vol.38, issue.3, pp.312-319, 2007.

, Hydration kinetics modeling of Portland cement considering the effects of curing temperature and applied pressure, Cement and Concrete Research, vol.39, issue.4, pp.255-265, 2009.

, Finite element reliability of geometrically nonlinear uncertain structures, Eng. Mech, vol.117, issue.8, pp.1806-1825, 1991.

[. Llau, Condensed SFEs for nonlinear mechanical problems, Computer Methods in Applied Mechanics and Engineering, vol.309, pp.434-452, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01348073

[. Llau, Méthodes de simulation du comportement mécanique non linéaire des grandes structures en béton armé et précontraint : condensation adaptative en contexte aléatoire et représentation des hétérogénéités, Thèse Comu. Univ. Grenoble Alpes. France, vol.127, issue.1-2, pp.37-47, 1970.

A. Loukili-;-loukili and . Lura, Loi de Transition Energétique pour la Croissance Verte N° 2015-992, Etude du retrait et du fluage de bétons à UHP, vol.18, 1996.

[. Mang, Comparison between natural and accelerated carbonation (3% CO2): Impact on mineralogy, microstructure, water retention and cracking, Eng. Comput, vol.32, pp.64-80, 2015.

[. Mattalah, A practical method to estimate crack openings in concrete structures. Numerical and analytical methods in geomechanics, vol.34, pp.1615-1633, 2010.

. Mazars, Continuum damage theory : application to concrete. Engineering mechanics, vol.115, pp.345-365, 1989.

. Mazars, Application de la mécanique d'endommagement au comportement non linéaire et à la rupture du béton de structure, Experimental study of nonlinear creep of concrete at high stress levels. Shrinkage and durability mechanics of concrete and other quasi-brittle materials, vol.48, pp.582-592, 1998.

|. D. -m.-b-o-u-h-j-i-t-i-;-mazzotti, Nonlinear creep damage model for concrete under uni axial compression. Engineering mechanics, vol.129, pp.1065-1075, 2003.

[. Melchers, Structural reliability analysis and prediction, vol.44, pp.335-341, 1949.

[. Michou, Reinforcement-concrete bond behavior: Experimentation in drying conditions and mesoscale modeling, Eng. Struct, vol.101, pp.570-582, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01667706

, Correlation between characteristics of fracture process zone and tension-softening properties of concrete, Nuc. Eng. Des, vol.165, issue.28, pp.359-376, 1996.

R. H. Mills, Factors influencing cessation of hydration in water cured cement pastes, HRB SR, vol.90, pp.406-424, 1966.

P. Mivelaz, D. Montgomery, P. Morabito, and . Morokoff, Thermal properties of concrete. Variations with the temperature and during hydration phase. Improved production of advanced concrete structures (IPACS). Lulea University of technology. Suède, Comput. Phys, vol.122, issue.2, pp.218-230, 1995.

M. D. Morris-;-morris, Factorial sampling plans for preliminary computational experiments, Technometrics, vol.33, pp.161-174, 1991.

. Mounajed, A new coupling F.E. model for the simulation of thermal hydro-mechanical behaviour of concretes at high temperatures, Materials and Structures, vol.37, pp.422-432, 2004.

M. Kharazi, A modeling methodology in predicting the leakage tightness of a pressure containment vessel without liner, Proc. SMIRT'22, 2013.

A. Nataf, Détermination des distributions dont les marges sont données. Comptes-rendus hebdomadaires des séances de l'académie des sciences, pp.42-43, 1962.

. Nath, Evaluation of the suitability of ground granulated silico-manganese slag in Portland slag cement, Construction and Building Materials, vol.125, pp.127-134, 1999.

, A mesoscopic model for a better understanding of the transition from diffuse damage to localized damage, European Journal Of Environmental and Civil Engineering, vol.14, issue.6-7, pp.751-776, 2010.

[. Niyogi, The influence of age at time of loading on basic and drying creep, Proceedings of the international RILEM Workshop, vol.3, pp.633-644, 1973.

. Bibliographie,

|. D. -m.-b-o-u-h-j-i-t-i, Experimental identification of Biot's hydro-mechanical coupling coefficient for cement mortar, Materials and Structures, vol.35, issue.2 0 1 8, pp.29-236, 2002.

[. Olivier, FE² computational homogenization for the thermo-mechanical analysis of heterogeneous solids, Computer Methods in Applied Mechanics and Engineering, vol.195, issue.3-4, pp.602-613, 2006.

J. Paiboon, D. V. Griffiths, J. Huang, and A. F. Girdin, Numerical analysis of effective elastic properties of geomaterials containing voids using 3D random fields and finite elements ''. Solids and structures, Cement and Concrete Research, vol.50, pp.1155-1164, 2005.

, Modeling of hydration reactions using neural networks to predict the average properties of cement paste, Cement and Concrete Research, vol.35, issue.9, pp.618-642, 1987.

. Peerlings, A critical comparison of non local and gradient enhanced softening continua. Solids and structures, vol.38, pp.7723-7746, 2001.

. Peng, Prise en compte des données expérimentales dans les modèles probabilistes pour la prédiction de la durée de vie des structures, International journal of Rock Mechanics and Mining Sciences, vol.85, issue.7, pp.1023-1036, 1998.

[. Picandet, Effect of axial compressive damage on gas permeability of ordinary and high-performance concrete, Cement and Concrete Research, vol.31, issue.11, pp.1525-1557, 2001.
URL : https://hal.archives-ouvertes.fr/hal-01006773

[. Picandet, Cracks effects on gas and water permeability of concretes, Cement and concrete research, vol.39, issue.6, pp.537-547, 2009.

G. Pickett-;-pickett, S. E. Pihlajavaara, and . Pijaudier-cabot, A review of some of the main results of a research on the aging phenomena of concrete: effect of moisture conditions on strength, shrinkage, and creep of mature concrete, Journal of engineering mechanics, vol.38, issue.5, pp.1512-1533, 1942.

. Bibliographie,

|. D. -m.-b-o-u-h-j-i-t-;-powers, (1840) Recherches expérimentales sur le mouvement des liquides de nature différente dans les tubes de très petits diamètres. Annales de chimie et physique. Tome XXI. Edit. Masson P 1847, ACI proceedings, vol.43, issue.9, pp.469-504, 1946.

[. Poyet, Influence of Water on Alkali-Silica Reaction: Experimental Study and Numerical Simulations, Materials in Civil Engineering, vol.18, issue.4, 2006.
URL : https://hal.archives-ouvertes.fr/cea-01272814

, Chemical modeling of alkali Silica Reaction: Influence of the reactive aggregate size distribution, Materials and Structures, vol.40, issue.2, pp.229-239, 2007.

S. Poyet, Experimental investigation of the effect of temperature on the isotherm of concrete, Cement and Concrete Research, vol.39, pp.1052-1059, 2009.
URL : https://hal.archives-ouvertes.fr/cea-01272821

[. Qinwu, Isothermal calorimetry tests and modeling of cement hydration parameters, Thermochimica Acta, vol.499, issue.1-2, pp.91-99, 2010.

R. Rakwitz and . Ranaivomanana, Basic creep of concrete under compression, tension and bending, Construction and Building Materials, vol.23, pp.173-180, 2001.

[. Rastiello, Macroscopic probabilistic cracking approach for the numerical modeling of fluid leakage in concrete, Annals of Solid and Structural Mechanics, vol.7, issue.1, pp.1-16, 2015.

N. Reviron, Etude du fluage des bétons en traction. Application aux enceintes de confinement des centrales nucléaires à eau sous pression, 2009.

J. R. Rice, K. A. Riding, and . Rocco, A path independent integral and the approximate analysis of strain concentration by notches and cracks, ACI SP-9 Symp. on Creep-Portland Cement Association, vol.35, pp.3812-3814, 1964.

|. D. -m.-b-o-u-h-j-i-t-i, Probabilistic model for material behaviour analysis and appraisement of concrete structures, vol.44, pp.27-280, 1992.

[. Rossi, Scale effect on concrete in tension, Materials and Structures, vol.27, issue.8, pp.437-444, 1994.

[. Rossi, Basic creep behavior of concretes investigation of the physical mechanisms by using acoustic emission, Cement and Concrete Research, vol.42, issue.1, pp.61-73, 2012.

, Fissuration du béton : du matériau à la structure-Application de la mécanique linéaire de la rupture, Proc. of the Structure of Concrete and its Behavior under Load, vol.51, pp.429-442, 1968.

[. Sabri, Isothermal drying and wetting swelling of hardened cement paste, pp.88-91, 1982.

[. Saltelli, Variance based sensitivity analysis of model output. Design and estimator for the total sensitivity index, Computer Physics Communications, vol.181, issue.2, pp.259-270, 2008.

A. Saltelli, G. Saporta, B. M. Savage, and D. J. Janssen, Soil Physics Principles Validated for Use in Predicting Unsaturated Moisture Movement in Portland Cement Concrete, ACI. Materials Journal, vol.145, issue.1, pp.63-70, 1997.

[. Schindler, Heat hydration models for cementitious materials, ACI materials Journal. Technical paper, vol.102, issue.1, pp.24-33, 2005.

K. Schindler-;-schindler and . Sciumè, A viscoelastic unitary crack opening strain tensor for crack width assessment in fractured concrete structures. Mech Time-Depend Mater, Cement and Concrete Research, vol.21, pp.38-56, 2002.

, Coefficient of thermal expansion of cement paste and concrete: mechanisms of moisture interaction. Materials and structures, vol.39, pp.809-815, 2006.

. Bibliographie,

|. D. -m.-b-o-u-h-j-i-t-i-;-sellier, A. Buffo-lacarriere, L. Multon, S. Vidal-t, and . Bourbon-x, Nonlinear basic creep and drying creep modeling, Proc. SSCS'2012. Numerical modeling strategies for sustainable concrete structure, 2012.

, Weakest link and localisation WL2: a method to conciliate probabilistic and energetic scale effects in numerical models, European Journal of Civil engineering, vol.18, issue.10, pp.1177-1191, 2014.

, Concrete creep modelling for structural applications: non-linearity, multi-axiality, hydration, temperature and drying effects, Cement and Concrete Research, vol.79, pp.301-315, 2016.

, Projet BILBOA : Étude du fluage à 60 ans d'un secteur d'enceinte type Civaux 1 (sans interaction Sol Structure)-Partie 1. Document interne EDF. France [SFEN, 2014] Société française d'énergie nucléaire, La chaîne énergie, vol.192, pp.4581-4607, 2003.

[. Skar?y?ski, Experimental Investigations of Fracture Process Using DIC in Plain and Reinforced Concrete Beams under Bending, Soviet. Math. Dokl, vol.49, issue.6, pp.420-243, 1963.

&. Sobol and I. M. , Sensitivity estimates for nonlinear mathematical models, Math. Model. Comput. Exp, vol.1, pp.407-417, 1993.

&. M. Sobol-;-sobol and . Soize, Analyse et modélisation du comportement différé du béton. Application aux poutres mixtes, pré fléchies et précontraintes, Global Sensitivity índices for nonlinear mathematical models and their Monte Carlo estimates. Mathematica and computers in simulation, vol.55, pp.964-979, 2000.

[. Tailhan, Influence of silicate structure on the low temperature synthesis of belite cement from different siliceous raw materials, Proc. 5th Int. RILEM symposium on creep and shrinkage of concrete, vol.1, pp.98-106, 1993.

. Bibliographie,

|. D. -m.-b-o-u-h-j-i-t-i-;-tatin, M. Tazawa, E. Miyazawa, and S. Thiery, A fully coupled thermo-hydromechanical model for simulating multiphase flow, deformation and heat transfer in buffer material and rock masses. Rock Mechanics and Mining sciences, A general relation between tensile strength and specimen geometry for concrete-like materials. Materials and constructions, vol.11, pp.187-196, 1977.

, La résistance du béton à très jeune âge, Bulletin LCPC, vol.179, pp.31-41, 1992.

[. Torrenti, Comportement au jeune âge du béton: approche 3D du seuil de percolation mécanique. 23 ème rencontres universitaires de GC-risque et environnement. FRANCE, Cement and concrete research, vol.38, issue.6, pp.1183-1197, 1990.

[. Ulm, Couplings in early age concrete from material modeling to structural design, Solids and Structures, vol.35, issue.1-2, pp.4295-4311, 1998.

[. Ulm, Creep and shrinkage coupling: new review of some evidences. Revue Française de Génie Civil, vol.3, pp.3-4, 1999.

, The effect of curing temperature and relative humidity on the strength development of Portland cement mortar. Academic journals. Scientific research and essays, vol.6, pp.2504-2511, 2011.

[. Van-breugel-;-van-breugel, K. Van-genuchten, and M. T. Van-vliet, Contribution { la caractérisation de l'évolution du taux de fuite des enceintes de confinement du parc nucléaire, Simulation of Hydration and Formation of Structure in Hardening Cement-Based Materials, vol.44, pp.2715-2731, 1980.

[. Waller, Relation entre formulation d'un béton et propriétés mécaniques, formulation et chaleur d'hydratation, cas de cendres volantes, RILEM, 4th International Symposium On Utilization of HSC/HPC, vol.209, pp.617-642, 1996.

, Sensitivity and Interaction Analysis Based on Sobol' Method and its application in a distributed flood forecasting model, Water Open access Journal, vol.7, pp.2924-2951, 2015.

W. , A statistical theory of the strength of materials, Proc. of Royal Swedish academy of Engineering science, vol.151, pp.1-45, 1939.

W. , A statistical distribution function of wide applicability. Applied mechanics, vol.18, pp.293-297, 1951.

[. Wittmann, Total deformation of loaded drying creep, Cement and Concrete Research, vol.10, pp.601-610, 1980.

F. H. Wittmann and . Wu, Tensile strength of concrete under static and intermediate strain rates: Correlated results from different testing methods, Nuclear Engineering and Design, vol.56, issue.8, pp.173-183, 1973.

[. Xian, Quanke S. Sensitivity analysis of the early-age cracking risk in immersed tunnel, Structural concrete, vol.15, issue.2, pp.179-190, 2014.

[. Xianggui, One factor at a time designs of resolution V. Statistical planning and inference, vol.131, pp.407-416, 2005.

[. Xiu, A new stochastic approach to transient heat conduction modeling with uncertainty, Heat Mass Transfer, vol.24, issue.2, pp.4681-4693, 2002.

|. D. -m.-b-o-u-h-j-i-t-i,

[. Yamazaki, Fluid-flow measurements in low permeability media with high pressure gradients using neutron imaging: Application to concrete, Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, vol.114, issue.8, pp.35-42, 1988.

[. Yi, Effect of specimen sizes, specimen shapes, and placement directions on compressive strength of concrete, Nuclear Engineering and Design, vol.236, issue.2, pp.115-127, 2006.

[. Zhang, Thermal stresses and temperature control of mass concrete. China Institute of Water Resources and Hydropower Research and Chinese Academy of Engineering, Engineering Mechanics, vol.120, issue.12, pp.571-589, 1994.

J. Zreiki, Comportement au jeune âge dans les structures massives. Application au cas de réparation des ouvrages, 2009.

, ? Liste des publications : Journaux scientifiques

[. Bouhjiti, Accounting for realstic THM boundary conditions whilst modeling the ageing of concrete in nuclear containment buildings: model validation and sensitivity analysis. Engineering Structures, vol.166, pp.314-338, 2018.

[. Bouhjiti, New continuous strain-based description of concrete's damage-permeability coupling. Numerical and analytical methods in geomechanics, pp.1-27, 2018.

[. Bouhjiti, Statistical modeling of cracking in large concrete structures under Thermo-Hydro-Mechanical loads: Application to Nuclear Containment Buildings, Nuc. Eng. Des, vol.333, pp.196-223, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01876926

[. Bouhjiti, Statistical modeling of cracking in large concrete structures under Thermo-Hydro-Mechanical loads: Application to Nuclear Containment Buildings. Part 2: Sensitivity analysis, Nuc. Eng. Des, vol.334, pp.1-23, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01876926

[. Bouhjiti, Modeling of ageing effects on the dry air tightness in containment buildingsApplication to nuclear reactors' buildings, 2018.

[. Bouhjiti, Modeling of ageing effects on the dry air tightness in containment buildings-Application to nuclear reactors' buildings. Part 2: PCE-based stochastic approach and reliability analysis, 2018.

, Conférences internationales

[. Bouhjiti, Analyse probabiliste de la fissuration et du confinement des grands ouvrages en béton armé et précontraint-Application aux enceintes de confinement des réacteurs nucléaires (Cas de la maquette VeRCoRs). 36 ème Rencontres Universitaires de Génie Civil (RUGC), Sensitivity analysis of the Thermo-Hydro-Mechanical parameters affecting double walled Nuclear Power Plants behaviour. Proc. of Int. conf. on Structural Mechanics in Reactor Technology (SMIRT). Busan. South Korea, 2017.