Buckling of Shells: Proceedings of a State-of-the-Art Colloquium Chapter The imperfection data bank, a mean to obtain realistic buckling loads, pp.535-567, 1982. ,
The Effect of General Imperfections on the Buckling of Cylindrical Shells, Journal of Applied Mechanics, vol.36, issue.1, pp.28-38, 1969. ,
DOI : 10.1115/1.3564582
Toward a Probabilistic Preliminary Design Criterion for Buckling Critical Composite Shells, AIAA Journal, vol.100, issue.8, pp.1823-1827, 2005. ,
DOI : 10.1016/S0020-7462(01)00088-9
Collapse of axially compressed cylindrical shells with random imperfections, Thin-Walled Structures, vol.23, pp.1-4, 1995. ,
Stochastic finite element analysis of shells, Computer Methods in Applied Mechanics and Engineering, vol.191, issue.41-42, pp.4781-4804, 2002. ,
DOI : 10.1016/S0045-7825(02)00404-8
Estimation of small failure probabilities in high dimensions by subset simulation, Probabilistic Engineering Mechanics, vol.16, issue.4, pp.263-277, 2001. ,
DOI : 10.1016/S0266-8920(01)00019-4
Cross Validation and Maximum Likelihood estimations of hyper-parameters of Gaussian processes with model misspecification, Computational Statistics & Data Analysis, vol.66, pp.55-69, 2013. ,
DOI : 10.1016/j.csda.2013.03.016
Stabilité des structures minces et sensibilité aux imperfections par la Méthode Asymptotique Numérique, 2001. ,
Stability of elastic, anelastic, and disintegrating structures: a conspectus of main results, ZAMM -Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, pp.11-12, 2000. ,
Statistical method in the nonlinear theory of elastic shell, 1962. ,
Reliability analysis of stability of shells based on combined finite element and response surface methods, Proc. 4 th International Colloquium on Computation of Shell & Spatial Structures (IASS-IACM 2000), 2000. ,
Efficient modeling of imperfections for buckling analysis of composite cylindrical shells, Engineering Structures, vol.33, issue.5, pp.1796-1806, 2011. ,
DOI : 10.1016/j.engstruct.2011.02.019
Three-dimensional extension of non-linear shell formulation based on the enhanced assumed strain concept, International Journal for Numerical Methods in Engineering, vol.68, issue.2, pp.2551-2568, 1994. ,
DOI : 10.1007/978-3-322-93983-8
Stochastic imperfection modelling in shell buckling studies, Thin-Walled Structures, vol.23, issue.1-4, pp.1-4, 1995. ,
DOI : 10.1016/0263-8231(95)00011-2
A path-following technique via an asymptotic-numerical method, Computers & Structures, vol.53, issue.5, pp.1181-1192, 1994. ,
DOI : 10.1016/0045-7949(94)90165-1
On the investigation of shell buckling due to random geometrical imperfections implemented using Karhunen???Lo??ve expansions, International Journal for Numerical Methods in Engineering, vol.20, issue.12, pp.1715-1726, 2008. ,
DOI : 10.1007/978-1-4612-3094-6
Optimization of shell buckling incorporating Karhunen-Lo??ve-based geometrical imperfections, Structural and Multidisciplinary Optimization, vol.3, issue.1, pp.185-194, 2007. ,
DOI : 10.1007/978-94-009-5063-4
A New method to compute perturbed bifurcations: Application to the buckling of imperfect elastic structures, International Journal of Engineering Science, vol.28, issue.9, pp.943-957, 1990. ,
DOI : 10.1016/0020-7225(90)90043-I
Adaptive surrogate models for reliability analysis and reliability-based design optimization, 2011. ,
URL : https://hal.archives-ouvertes.fr/tel-00697026
Reliability-based design optimization of an imperfect submarine pressure hull, Proc. 11 th International Conference on Applications of Statistics and Probability in Civil Engineering (ICASP 11), pp.703-711, 2011. ,
DOI : 10.1201/b11332-106
URL : https://hal.archives-ouvertes.fr/hal-00587024
Metamodel-based importance sampling for structural reliability analysis, Probabilistic Engineering Mechanics, vol.33, issue.0, pp.47-57, 2013. ,
DOI : 10.1016/j.probengmech.2013.02.002
URL : https://hal.archives-ouvertes.fr/hal-00590604
Reliability-based design optimization: an application to the buckling of imperfect shells, Proc. 4 th International ASRANet Colloquium, 2008. ,
FE-based reliability analysis of the buckling of shells with random shape, material and thickness imperfections, Proc. 10 th International Conference on Structural Safety and Reliability, pp.13-17, 2009. ,
Meta-model-based importance sampling for reliability sensitivity analysis, Structural Safety, vol.49, pp.27-36, 2014. ,
DOI : 10.1016/j.strusafe.2013.08.010
Reliability-based design optimization using kriging surrogates and subset simulation, Structural and Multidisciplinary Optimization, vol.42, issue.1, pp.673-690, 2011. ,
DOI : 10.2514/1.9036
URL : https://hal.archives-ouvertes.fr/hal-00587311
Simulation of space???random fields for solution of stochastic boundary???value problems, The Journal of the Acoustical Society of America, vol.65, issue.2, pp.399-403, 1979. ,
DOI : 10.1121/1.382337
Probabilistic resolution of the twentieth century conundrum in elastic stability. Thin-Walled Structures 59, pp.35-57, 2012. ,
Reliability of axially compressed cylindrical shells with random axisymmetric imperfections, International Journal of Solids and Structures, vol.18, issue.7, pp.563-585, 1982. ,
DOI : 10.1016/0020-7683(82)90040-3
First-order second-moment analysis of the buckling of shells with random imperfections, AIAA Journal, vol.1, issue.1, pp.1113-1117, 1987. ,
DOI : 10.1115/1.3424564
Application of reliability theory to structural design and assessment of submarines and other externally pressurized cylindrical structures, Proc. 4th International Symposium on Integrity of Offshore Structures, pp.199-230, 1990. ,
Optimisation of pressure vessels under reliability constraints, 1996. ,
On the stability of elastic equilibrium (in Dutch), 1945. ,
Fast probabilistic design procedure for axially compressed composite cylinders, Composite Structures, vol.93, issue.12, pp.3140-3149, 2011. ,
DOI : 10.1016/j.compstruct.2011.06.017
PROBABILISTIC DESIGN OF AXIALLY COMPRESSED COMPOSITE CYLINDERS WITH GEOMETRIC AND LOADING IMPERFECTIONS, International Journal of Structural Stability and Dynamics, vol.1, issue.04, pp.623-644, 2010. ,
DOI : 10.1121/1.382337
Optimum design of shell structures with random geometric, material and thickness imperfections, International Journal of Solids and Structures, vol.43, issue.22-23, pp.22-23, 2006. ,
DOI : 10.1016/j.ijsolstr.2006.02.019
An efficient methodology for modeling complex computer codes with Gaussian processes, Computational Statistics & Data Analysis, vol.52, issue.10, pp.4731-4744, 2008. ,
DOI : 10.1016/j.csda.2008.03.026
URL : https://hal.archives-ouvertes.fr/hal-00239492
Quantile-based optimization under uncertainties using adaptive kriging surrogate models. Structural and Multidisciplinary Optimization, Special issue on Physical, Model, and Statistical Uncertainty in Structural and Multidisciplinary Optimization, 2016. ,
DOI : 10.1007/s00158-016-1504-4
URL : http://arxiv.org/abs/1605.08978
Slice sampling, The Annals of Statistics, vol.31, issue.3, pp.705-767, 2003. ,
DOI : 10.1214/aos/1056562461
Analyse fiabiliste de la stabilité des coques minces avec imperfections par la méthode asymptotique numérique, 2009. ,
The effect of non-uniformity of axial loading on the buckling behaviour of shells with random imperfections, International Journal of Solids and Structures, vol.44, issue.18-19, pp.18-19, 2007. ,
DOI : 10.1016/j.ijsolstr.2007.02.027
The effect of material and thickness variability on the buckling load of shells with random initial imperfections, Special Issue on Computational Methods in Stochastic Mechanics and Reliability Analysis, pp.1405-1426, 1216. ,
DOI : 10.1016/j.cma.2004.01.043
Buckling analysis of imperfect shells with stochastic non-Gaussian material and thickness properties, International Journal of Solids and Structures, vol.46, issue.14-15, pp.14-15, 2009. ,
DOI : 10.1016/j.ijsolstr.2009.03.006
The application of structural reliability methods to submarine pressure vessels, 1995. ,
Optimization algorithms and consistent approximations, 1997. ,
Shell structures???a sensitive interrelation between physics and numerics, International Journal for Numerical Methods in Engineering, vol.60, issue.1, pp.381-427, 2004. ,
DOI : 10.1002/nme.967
Design and Analysis of Computer Experiments, Statistical Science, vol.4, issue.4, pp.409-435, 1989. ,
DOI : 10.1214/ss/1177012413
The Design and Analysis of Computer Experiments, 2003. ,
DOI : 10.1007/978-1-4757-3799-8
Buckling analysis of cylindrical shells with random geometric imperfections, International Journal of Non-Linear Mechanics, vol.38, issue.7, pp.1119-1132, 2003. ,
DOI : 10.1016/S0020-7462(02)00057-4
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.600.6963
Buckling analysis of cylindrical shells with cutouts including random boundary and geometric imperfections, Computer Methods in Applied Mechanics and Engineering, vol.196, issue.35-36, pp.35-36, 2007. ,
DOI : 10.1016/j.cma.2007.03.014
Rare Event Estimation Using Polynomial-Chaos Kriging, ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering, vol.3, issue.2, 2016. ,
DOI : 10.1061/AJRUA6.0000870
The development of shell imperfection measurement techniques, Thin-Walled Structures, vol.23, issue.1-4, pp.1-4, 1995. ,
DOI : 10.1016/0263-8231(95)94361-V
Buckling of imperfect stiffened cylindrical shells under axial compression, AIAA Journal, vol.9, issue.1, pp.68-75, 1971. ,
Stochastic finite element analysis of shells with combined random material and geometric properties, Computer Methods in Applied Mechanics and Engineering, vol.193, issue.1-2, pp.139-160, 2004. ,
DOI : 10.1016/j.cma.2003.10.001
Structural design optimization considering uncertainties, 2008. ,
The JCSS probabilistic model code, Structural Safety, vol.19, issue.3, pp.245-251, 1997. ,
DOI : 10.1016/S0167-4730(97)00008-8
Computing finite rotations of shells by an asymptotic-numerical method, Computer Methods in Applied Mechanics and Engineering, vol.175, issue.1-2, pp.71-85, 1999. ,
DOI : 10.1016/S0045-7825(98)00320-X
Asymptotic Numerical Method for Nonlinear Constitutive Laws, Revue Europ??enne des ??l??ments Finis, vol.10, issue.4, pp.841-869, 1998. ,
DOI : 10.1002/nme.1620100303