@article{M2AN_1997__31_5_559_0,
author = {Chenais, D. and Mascarenhas, M. L. and Trabucho, L.},
title = {On the optimization of non periodic homogenized microstructures},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
volume = {31},
year = {1997},
pages = {559-597},
mrnumber = {1471179},
zbl = {0882.65058},
language = {en},
url = {http://dml.mathdoc.fr/item/M2AN_1997__31_5_559_0}
}
Chenais, D.; Mascarenhas, M. L.; Trabucho, L. On the optimization of non periodic homogenized microstructures. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 31 (1997) pp. 559-597. http://gdmltest.u-ga.fr/item/M2AN_1997__31_5_559_0/
[1] , , 1993, A Numerical algorithm for topology and shape optimization, Topology Design of Structures, ed. by M. P. BendsØe and C. M. Soares, Kluwer, Serie E, 227, pp. 239-248. | MR 1250195
[2] , , 1993, Optimal design for minimum weight and compliance in plane stress using extremal microstructures, Eur. J. Mech. A Solids, 12, N° 4. | MR 1343090 | Zbl 0794.73044
[3] , 1981, Optimization of distributed parameter structures, NATO Advanced Study Institutes series, 50, Sijthoff and Noordhoff. | Zbl 0511.00034
[4] , 1975, On the existence of a solution in a domain identification problem, J. Math. Anal and Appl., vol, 52, pp.189-289. | MR 385666 | Zbl 0317.49005
[5] , 1977, Sur une famille de variétés à bord lipschitziennes. Application à un problème d'identification de domaines, Annales de l'Institut Fourier de Grenoble, vol. 27(4), pp. 201-231. | Numdam | MR 473802 | Zbl 0333.46020
[6] , 1987, Optimal design of midsurface of shells : differentiability proof and sensitivity computation, Applied Math. and Optimization, vol. 16, pp. 93-133. | MR 894807 | Zbl 0626.73097
[7] , 1992, Optimisation de domaines, cours de 3e cycle.
[8] , , 1979, Homogenization in open sets with hole, J. Math. Anal. and Appl., vol. 71, pp. 590-607. | MR 548785 | Zbl 0427.35073
[9] , 1994, Dérivées d'ordre supérieure en optimisation de forme, Thèse de l'Université de Toulouse, France.
[10] , , 1988, Generating optimal topologies in structural design using a homogenization method, Computer Methods in Applied Mechanics and Engineering, vol. 71, pp. 197-224. | MR 969217 | Zbl 0671.73065
[11] , , 1986, Optimal design and relaxation of variational problems, Comm. Pure Appl. Math. vol. 39, pp. 1-25 (Part I), pp. 139-182 (Part II), pp. 353-377 (Part III). | Zbl 0621.49008
[12] , , 1986, Optimal design in elasticity and plasticity, Internat. J. Numer. Meths. Engrg., vol. 22, pp.183-188. | MR 831844 | Zbl 0593.73091
[13] , , 1994, The warping, the torsion and the Neumann problems in a quasi-periodically perforated domain, Mathematical Modeling and Numerical Analysis, vol. 28(1), pp. 37-57. | Numdam | MR 1259267 | Zbl 0819.73003
[14] , 1987, Outils pour la conception optimale de forme, Thesis of the University of Nice, France, 1987.
[15] , , 1976, Sur le contrôle par un domaine géométrique, publications du Laboratoire d'Analyse Numérique, Université Pierre et Marie Curie.
[16] , , 1985, Calcul des variations et homogénéisation. In : Les Méthodes de l'Homogénéisation : Théorie et Applications en Physique, Coll. de la Dir. des Etudes et Recherches de Electricité de France, Eyrolles, pp. 319-370, Paris. | MR 844873
[17] , , Calculus of Variations and Homogenization, in : R. V. Kohn, ed. Topics in the mathematical modelling of composite materials, Birkäuser (to appear). | MR 844873 | Zbl 0939.35019
[18] , 1992, Quasi-periodic structure optimization of the torsional rigidity, Preprint CMAF 15/92. | MR 1261603 | Zbl 0796.73047
[19] , 1981, Optimization of distributed parameter structures, NATO Advanced Study Institutes series, 50, Sijthoff and Noordhoff.
[20] , 1994, Private communication.
[21] , 1981, Optimization of distributed parameter structures, NATO Advanced Study Institutes series, 50, Sijthoff and Noordhoff.