Structural optimization using sensitivity analysis and a level-set method, Journal of Computational Physics, vol.194, issue.1, pp.363-393, 2004. ,
DOI : 10.1016/j.jcp.2003.09.032
Structural design sensitivity analysis: Continuum and discrete approaches, Advances in Structural Optimization, pp.47-70, 1995. ,
Finite Element Procedures in Engineering Analysis, Journal of Pressure Vessel Technology, vol.106, issue.4, p.421, 1984. ,
DOI : 10.1115/1.3264375
Isogeometric analysis using T-splines, Computer Methods in Applied Mechanics and Engineering, vol.199, issue.5-8, pp.5-8229, 2010. ,
DOI : 10.1016/j.cma.2009.02.036
URL : https://hal.archives-ouvertes.fr/hal-01517950
Optimization of Structural Topology, Shape, and Material, 1995. ,
Topology Optimization, 2004. ,
Generating optimal topologies in structural design using a homogenization method, Computer Methods in Applied Mechanics and Engineering, vol.71, issue.2, pp.197-224, 1988. ,
DOI : 10.1016/0045-7825(88)90086-2
Basics and some applications of the mortar element method. GAMM-Mitteilungen, 2005. ,
Méthodes d'éléments finis pour les problèmes de coques minces, Recherches en Mathématiques Appliquées, pp.15-35, 1994. ,
Existence theorems for two-dimensional linear shell theories, Journal of Elasticity, vol.30, issue.2, pp.111-138, 1994. ,
DOI : 10.1016/S1385-7258(66)50001-4
URL : https://hal.archives-ouvertes.fr/inria-00077011
Domain Decomposition by the Mortar Element Method, Asymptotic and Numerical Methods for Partial Differential Equations with Critical Parameters, pp.269-286, 1993. ,
DOI : 10.1007/978-94-011-1810-1_17
Design of an Automatic Topology/Geometry Optimization Software, Integrated Design and Manufacturing in Mechanical Engineering '98, pp.133-140 ,
DOI : 10.1007/978-94-015-9198-0_17
Essai de définition numérique des courbes et des surfaces expérimentales: contribution à l'étude des propriétés des courbes et des surfaces paramétriques polynomiales à coefficients vectoriels, 1977. ,
Form finding of shells by structural optimization, Engineering with Computers, vol.1, issue.1, pp.27-35, 1993. ,
DOI : 10.1007/BF01198251
Existence and uniqueness for the linear Koiter model for shells with little regularity, Quarterly of Applied Mathematics, vol.57, issue.2, pp.317-337, 1999. ,
DOI : 10.1090/qam/1686192
Nagdhi's shell model: Existence, uniqueness and continuous dependence on the midsurface, Journal of Elasticity, vol.64, issue.2/3, pp.199-216, 2001. ,
DOI : 10.1023/A:1015270504666
Une formulation hybride du mod??le de coque de Naghdi, Comptes Rendus Mathematique, vol.351, issue.7-8, pp.317-321, 2013. ,
DOI : 10.1016/j.crma.2013.04.018
Two Finite Element Approximations of Naghdi's Shell Model in Cartesian Coordinates, SIAM Journal on Numerical Analysis, vol.44, issue.2, pp.636-654, 2006. ,
DOI : 10.1137/050624339
Isogeometric mortar methods, Computer Methods in Applied Mechanics and Engineering, vol.284, pp.292-319, 2015. ,
DOI : 10.1016/j.cma.2014.09.012
URL : http://arxiv.org/pdf/1407.8313
Stiffness and Strength Optimization of the Anisotropy Distribution for Laminated Structures, Journal of Optimization Theory and Applications, vol.155, issue.1, pp.118-146 ,
DOI : 10.1007/s10957-012-0070-1
URL : https://hal.archives-ouvertes.fr/hal-01107512
Conception optimale ou identification de formes, calcul rapide de la d??riv??e directionnelle de la fonction co??t, ESAIM: Mathematical Modelling and Numerical Analysis, vol.20, issue.3, pp.371-402, 1986. ,
DOI : 10.1007/3-540-07623-9_279
URL : http://www.esaim-m2an.org/articles/m2an/pdf/1986/03/m2an1986200303711.pdf
The Finite Element Analysis of Shells - Fundamentals, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00839738
Isogeometric shape design optimization: exact geometry and enhanced sensitivity. Structural and Multidisciplinary Optimization, pp.53-70, 2008. ,
DOI : 10.1007/s00158-008-0266-z
The Finite Element Method for Elliptic Problems, Classics in Applied Mathematics, 2002. ,
An Introduction to Differential Geometry with Applications to Elasticity, Journal of Elasticity, vol.36, issue.1-3, pp.16-28, 2005. ,
DOI : 10.1007/978-1-4419-8522-4
La méthode des éléments finis -De la théorie à la pratique, 2009. ,
Theory of Shells, Mathematical Elasticity. Elsevier Science, vol.20, issue.23, p.15, 2000. ,
Isogeometric Analysis, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-01517950
Shape optimization, level set methods on unstructured meshes and mesh evolution, Thèse de doctorat dirigée par Allaire, Grégoire et Frey, p.2013, 2013. ,
URL : https://hal.archives-ouvertes.fr/tel-00916224
A Practical Guide to Splines, Applied Mathematical Sciences, vol.27, pp.77-80, 2001. ,
DOI : 10.1007/978-1-4612-6333-3
On the evaluation of box splines, Numerical Algorithms, vol.10, issue.1, pp.5-23, 1993. ,
DOI : 10.1016/B978-0-12-460515-2.50016-0
Optimization of composite structures: A shape and topology sensitivity analysis, Thèse de doctorat dirigé par Allaire, Grégoire Mathématiques appliquées, 2014. ,
URL : https://hal.archives-ouvertes.fr/pastel-01005520
Sur une justification des modìesmodìes de plaques et de coques par les méthodes asymptotiques, 1980. ,
Paramétrage de formes surfaciques pour l'optimisation, Thèse de doctorat dirigée par Jézéquel, 2013. ,
An optimization procedure for stress concentrations by the finite element technique, International Journal for Numerical Methods in Engineering, vol.14, issue.1, pp.115-124, 1979. ,
Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement, Computer Methods in Applied Mechanics and Engineering, vol.194, issue.39-41, pp.39-414135, 2005. ,
DOI : 10.1016/j.cma.2004.10.008
URL : https://hal.archives-ouvertes.fr/hal-01513346
Structural rigidity optimization of thin laminated shells, Composite Structures, vol.95, pp.35-43 ,
DOI : 10.1016/j.compstruct.2012.07.014
URL : https://hal.archives-ouvertes.fr/hal-01455391
Shape optimization of thin shell structures for complex geometries. Theses, 2016. ,
URL : https://hal.archives-ouvertes.fr/tel-01503061
Isogeometric analysis and shape optimal design of shell structures, pp.11-159, 2011. ,
Foundations and Basic Equations of Shell Theory A Survey of Recent Progress, 1968. ,
DOI : 10.1007/978-3-642-88476-4_7
Design Sensitivity Analysis of Structural Systems, 1986. ,
Non-conforming domain decomposition method for plate and shell problems, Contemporary Mathematics, vol.218, 1998. ,
DOI : 10.1090/conm/218/03022
URL : https://hal.archives-ouvertes.fr/hal-00369440
Quelques méthodes de résolution des problèmes aux limites non linéaires. Les Cours de référence. Dunod, 2002. ,
DOI : 10.1007/bf00249679
Numerical analysis of junctions between thin shells: part 1 continuous problems, Rapport de recherche/INRIA, page 22. INRIA, 1996. ,
URL : https://hal.archives-ouvertes.fr/inria-00077214
Numerical analysis of junctions between thin shells: part 2 approximation by finite element methods, Rapport de recherche/INRIA, p.36, 1996. ,
URL : https://hal.archives-ouvertes.fr/inria-00073776
Numerical analysis of junctions between plates, Rapport de recherche INRIA, page 25. INRIA, 1988. ,
URL : https://hal.archives-ouvertes.fr/inria-00075689
A proposed standard set of problems to test finite element accuracy, Finite Elements in Analysis and Design, vol.1, issue.1, pp.3-20, 1985. ,
Optimal design of advanced engineering modular systems through a new genetic approach ,
URL : https://hal.archives-ouvertes.fr/tel-00955533
A new paradigm for the optimum design of variable angle tow laminates. In Variational analysis and aerospace engineering: mathematical challenges for the aerospace of the future ,
URL : https://hal.archives-ouvertes.fr/hal-01354284
A Two-Level Procedure for the Global Optimum Design of Composite Modular Structures???Application to the Design of an Aircraft Wing, Journal of Optimization Theory and Applications, vol.9, issue.1, pp.24-53 ,
DOI : 10.1007/978-1-4613-3676-1
URL : https://hal.archives-ouvertes.fr/hal-01666669
A Genetic Algorithm for Engineering Optimisation -User guide. working paper or preprint, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00767468
Calcul de variation et homogénéisation In les méthodes de l'homogénéisation: théorie et application sn physique, Coll. Dir. Etudes et Recherches EDF, vol.57, pp.319-369, 1985. ,
Foundations of Elastic Shell Theory, 1963. ,
Isogeometric design of anisotropic shells: Optimal form and material distribution, Computer Methods in Applied Mechanics and Engineering, vol.264, issue.2013, pp.145-162 ,
Adaptive finite element methods for shape optimization of linearly elastic structures, Computer Methods in Applied Mechanics and Engineering, vol.57, issue.1, pp.67-89 ,
DOI : 10.1016/0045-7825(86)90071-X
Shape interrogation for computer aided design and manufacturing, 2009. ,
DOI : 10.1007/978-3-642-04074-0
Les Piegl. The NURBS Book, 1997. ,
Full analytical sensitivities in NURBS based isogeometric shape optimization, Computer Methods in Applied Mechanics and Engineering, vol.199, issue.29-32, pp.29-322059, 2010. ,
DOI : 10.1016/j.cma.2010.03.005
URL : http://mmae.iit.edu/cadcam/pub/IGOReport.pdf
Approximation des équations de la magnétodynamique en domaine tournant par la méthode des éléments finis joints, 2000. ,
An introduction to nurbs with historical perspective. Computer Graphics, p.80, 2001. ,
Principes dánalyse de sensitivite,utilisation pour la conception optimale, 1986. ,
Cosserat Theories: Shells, Rods and Points, 2000. ,
DOI : 10.1007/978-94-015-9379-3
A special planar orthotropic material, Journal of Elasticity, vol.67, issue.2, pp.81-96, 2002. ,
DOI : 10.1023/A:1023949729395
Plane Anisotropy by the Polar Method*, Meccanica, vol.58, issue.4-6, pp.437-454, 2005. ,
DOI : 10.1007/s11012-005-2132-z
Influence of invariant material parameters on the flexural optimal design of thin anisotropic laminates, International Journal of Mechanical Sciences, vol.51, issue.3, pp.192-203, 2009. ,
DOI : 10.1016/j.ijmecsci.2009.01.005
A Note on the Elastic and Geometric Bounds for Composite Laminates, Journal of Elasticity, vol.58, issue.2, pp.199-215, 2013. ,
DOI : 10.1016/S0266-3538(97)00133-4
URL : https://hal.archives-ouvertes.fr/hal-00666598
Analytical bounds for damage induced planar anisotropy, International Journal of Solids and Structures, vol.60, issue.61, pp.60-6196 ,
DOI : 10.1016/j.ijsolstr.2015.02.017
URL : https://hal.archives-ouvertes.fr/hal-01107502
Stiffness design of laminates using the polar method, International Journal of Solids and Structures, vol.38, issue.50-51, pp.50-519281, 2001. ,
DOI : 10.1016/S0020-7683(01)00177-9
Anisotropy of plane complex elastic bodies, International Journal of Solids and Structures, vol.47, issue.9, pp.1154-1166, 2010. ,
DOI : 10.1016/j.ijsolstr.2010.01.002
Mechanical Behavior of Anisotropic Solids, chapter Les Invariants des Tenseurs d'Ordre 4 du Type de l'Élasticité, Editions du CNRS, pp.93-104, 1982. ,
BIANCA: a genetic algorithm to solve hard combinatorial optimisation problems in engineering, Journal of Global Optimization, vol.10, issue.4, pp.399-421 ,
DOI : 10.1007/978-1-4757-5362-2
Discretization Methods and Iterative Solvers Based on Domain Decomposition, 2001. ,
Buckling analysis and optimisation of variable angle tow composite plates. Thin-Walled Structures, pp.163-172 ,
Nonconforming mortar element methods: Application to spectral discretizations, Domain Decomposition Methods, SIAM, pp.392-418, 1989. ,
An integrated approach to topology, sizing, and shape optimization. Structural and Multidisciplinary Optimization, pp.308-317, 2004. ,
DOI : 10.1007/s00158-003-0351-2