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Accueil du site > Equipes_Fr_En_It > Mécanique, matériaux et optimisation de formes > Activités de Recherche > Optimisation de forme > Publications

Publications

  • G. Allaire, F. Jouve, N. Van Goethem A level set method for the numerical simulation of damage evolution, Internal report, n. 629, CMAP, Ecole Polytechnique (December 2007). 629.pdf.
  • F. de Gournay, G. Allaire, F. Jouve, Shape and topology optimization of the robust compliance via the level set method, to appear in COCV 593.pdf.
  • G. Allaire, F. Jouve, Minimum stress optimal design with the level set method, to appear in International Journal of Boundary Elements and Applications. Internal report, n. 618, CMAP, Ecole Polytechnique (June 2007). 618.pdf
  • G. Allaire, Conception optimale de structures, Collection : Mathématiques et Applications, Vol. 58, Springer (2007).
  • G. Allaire, F. Jouve, Coupling the level set method and the topological gradient in structural optimization, in IUTAM symposium on topological design optimization of structures, machines and materials, M. Bendsoe et al. eds., pp3-12, Springer (2006).
  • G. Allaire, S. Gutierrez, Optimal Design with Small Contrast, in IUTAM symposium on topological design optimization of structures, machines and materials, M. Bendsoe et al. eds., pp137-146, Springer (2006).
  • F. de Gournay, Velocity extension for the level-set method and multiple eigenvalues in shape optimization, to appear in SIAM J. Optim. PDF
  • F. de Gournay, Optimisation de formes par la méthode des lignes de niveaux, Thèse de l’Ecole Polytechnique, juillet 2005. PDF
  • G. Allaire, O. Pantz, Structural Optimization with FreeFem++, SMO, 32, pp.173-181 (2006). PDF
  • G. Allaire, S. Gutierrez, Optimal Design in Small Amplitude Homogenization, M2AN, 41, pp.543-574 (2007). Internal report, n. 576, CMAP, Ecole Polytechnique (June 2005). PDF
  • G. Allaire, F. De Gournay, F. Jouve, A.-M. Toader, Structural optimization using topological and shape sensitivity via a level set method, Control and Cybernetics, 34, pp.59-80 (2005). (Internal report 555, CMAP, Ecole Polytechnique 2004). PDF
  • G. Allaire, F. Jouve, H. Maillot, Topology optimization for minimum stress design with the homogenization method, , Structural and Multidisciplinary Optimization, 28, pp.87-98 (2004). PDF
  • G. Allaire, F. Jouve, A level-set method for vibration and multiple loads structural optimization, Comput. Methods Appl. Mech. Engrg. 194, pp.3269-3290 (2005). Internal report, n. 542, CMAP, Ecole Polytechnique (June 2004). PDF
  • G. Allaire, Topology optimization with the homogenization and the level-set method, in Nonlinear Homogenization and its Applications to Composites, Polycrystals and Smart Materials, P. Ponte Castaneda et al. eds., pp.1-13, Kluwer (2004). PDF
  • G. Allaire, F. Jouve, A.-M. Toader, Structural optimization using sensitivity analysis and a level-set method, J. Comp. Phys., 194/1, pp.363-393 (2004). (Internal report 508, CMAP, Ecole Polytechnique 2003) PDF
  • G. Allaire, F. Jouve, A.M. Toader, Structural optimization by the level-set method, in International Series of Numerical Mathematics, vol. 147, pp.1-15, Birkhauser, Basel (2003).
  • G. Allaire, F. Jouve, A.-M. Toader, A level-set method for shape optimization, C. R. Acad. Sci. Paris, Série I, 334, pp.1-6 (2002). PDF
  • G. Allaire, S. Castro, Optimization of nuclear fuel reloading by the homogenization method, Structural and Multidisciplinary Optimization, 24, pp.1-22 (2002)..
  • G. Allaire, Shape optimization by the homogenization method, Springer Verlag, New York (2002).
  • G. Allaire, F. Jouve, Optimal design of micro-mechanisms by the homogenization method, European Journal of Finite Elements, 11, pp.405-416 (2002). PDF
  • H. Hamda, F. Jouve, E. Lutton, M. Schoenauer, M. Sebag, Compact unstructured representations for Evolutionary Design, Applied Intelligence, 16, pp.139-155 (2002). PDF
  • G. Allaire, S. Aubry, F. Jouve, Eigenfrequency optimization in optimal design, Comput. Methods Appl. Mech. Engrg. 190, pp.3565-3579 (2001). PDF
  • G. Allaire, F. Jouve, Conception de micromécanismes par optimisation topologique, Congrès français de mécanique, Nancy, Septembre 2001. PDF
  • G. Allaire, F. Jouve, Optimisation de structures par homogénéisation pour des fonctions-cout générales. Application à l’optimisation de mécanismes, Actes du 5ème colloque national en calcul des structures, pp.853-860, CSMA ed., Teknea (Toulouse) (2001). PDF
  • G. Allaire, A. Henrot, On some recent advances in shape optimization, C. R. Acad. Sci. Paris, Série IIb, t. 329, pp.383-396 (2001).
  • G. Allaire, S. Castro, A new approach for the optimal distribution of assemblies in a nuclear reactor, Nümerische Mathematik, 89, pp.1-29 (2001).
  • G. Allaire, S. Aubry, F. Jouve, Shape optimization with general objective functions using partial relaxation, in Topology optimization of structures and composite continua, G.I.N. Rozvany and N. Olhoff eds., pp.239-249, Kluwer Academic Publishers (2000). PDF
  • H. Hamda, F. Jouve, E. Lutton, M. Schoenauer, M. Sebag, Représentations non structurées en optimisation topologique de formes par algorithmes évolutionnaires, 32eme Congrès national d’Analyse Numérique (CANum 2000), Port d’Albret, ESAIM Proceedings, Vol. 11, 153-179 (2002). PDF
  • G. Allaire, F. Jouve, Structural optimization by the homogenization method, in the Proceedings of IUTAM Symposium "Variations of domains and free-boundary problems in solid mechanics", P. Argoul et al. eds., Kluwer Academic Publishers, Dordrecht, pp.293-300 (1999). PDF
  • G. Allaire, S. Aubry, On optimal microstructures for a plane shape optimization problem, Structural Optimization 17, pp.86-94 (1999).
  • G. Allaire, G. Francfort, Existence of minimizers for non-quasiconvex functionals arising in optimal design, Annales de l’Institut Henri Poincaré, Analyse Non-Linéaire, 155, pp.301-339 (1998).
  • G. Allaire, S. Aubry, F. Jouve, Simulation numérique de l’endommagement à l’aide du modèle Francfort-Marigo, Actes du 29ème congrès d’analyse numérique, ESAIM Proceedings, vol. 3, pp.1-9 (1998). PDF
  • G. Allaire, E. Bonnetier, G. Francfort, F. Jouve, Shape optimization by the homogenization method, Nümerische Mathematik 76, pp.27-68 (1997). PDF
  • G. Allaire, The homogenization method for topology and shape optimization, dans "Topology optimization in structural mechanics", G. Rozvany ed., pp.101-134, CISM Courses and Lectures 374, Springer, Wien (1997).
  • G. Allaire, F. Jouve, Optimisation topologique de structures élastiques, Actes du 3ème colloque national en calcul des structures, B. Peseux et al. eds., pp.49-58, Presses Académiques de l’Ouest, Nantes (1997).
  • G. Allaire, E. Bonnetier, G. Francfort, F. Jouve, A topological approach to shape optimization, in Applied Stochastics and Optimization, O. Mahrenholtz et al. eds., ICIAM 95 special issue of ZAMM, Z. angew. Math. Mech. 76, S3, pp.255-258 (1996). PDF
  • G. Allaire, Z. Belhachmi, F. Jouve, The homogenization method for topology and shape optimization. Single and multiple loads case, European Journal of Finite Elements, 5, pp.649-672 (1996). PDF
  • M. Schoenauer, L. Kallel, F. Jouve, Mechanical inclusions identification by evolutionary computation, European Journal of Finite Elements, 5, pp.619-648 (1996). PDF
  • G. Allaire, Relaxation of structural optimization problems by homogenization, "Trends in Applications of Mathematics to Mechanics", M.M.Marques and J.F.Rodrigues Eds., Pitman monographs and surveys in pure and applied mathematics 77, pp.237-251, Longman, Harlow (1995).
  • C. Kane, F. Jouve, M. Schoenauer, Structural topology optimization in linear and nonlinear elasticity using genetic algorithms, 21th ASME Design Automation Conference, Boston, (1995). PDF
  • G. Allaire, Explicit lamination parameters for three-dimensional shape optimization, Control and Cybernetics, vol. 23, pp.309-326 (1994).
  • G. Allaire, R.V. Kohn, Optimal design for minimum weight and compliance in plane stress using extremal microstructures, Europ. J. Mech. A/Solids 12, 6, pp.839-878 (1993).
  • G. Allaire, G. Francfort, A numerical algorithm for topology and shape optimization, "Topology design of structures" Nato ASI Series E, pp.239-248, vol.227, M. Bendsoe et al. eds., Kluwer, Dordrecht (1993).
  • G. Allaire, R.V. Kohn, Topology optimization and optimal shape design using homogenization, "Topology design of structures" Nato ASI Series E, pp.207-218, vol.227, M. Bendsoe et al. eds., Kluwer, Dordrecht (1993).
  • G. Allaire, Structural optimization using optimal microstructures, dans "MECAMAT 93 International Seminar on Micromechanics of Materials", Collection de la Direction des Etudes et Recherches d’Electricité de France, pp.106-114, Eyrolles, Paris (1993).


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