Free Access
Issue
ESAIM: M2AN
Volume 29, Number 6, 1995
Page(s) 657 - 686
DOI https://doi.org/10.1051/m2an/1995290606571
Published online 31 January 2017
  1. G. ALLAIRE and R. V. KOHN, 1993, Optimal bounds on the effective behavior of a mixture of two well-ordered elastic materials, Quart. Appl. Math., LI, pp. 643-674. [MR: 1247433] [Zbl: 0805.73043]
  2. [2] G. ALLAIRE and R. V. KOHN 1993, Optimal design for minimum weight and compliance in plane stress usign extremal microstructures, European Journal of Mechanics (A/Solids), 12, pp. 839-878. [MR: 1343090] [Zbl: 0794.73044]
  3. M. AVELLANEDA, 1987, Optimal bounds and microgeometries for elastic two-phase composites, SIAM J. Appl Math., 47, pp. 1216-1228. [MR: 916238] [Zbl: 0632.73079]
  4. N. S. BAKHVALOV and G. P. PANASENKO, 1984, Averaged Processes in Periodic Media, Nauka, Moscow. [MR: 797571] [Zbl: 0607.73009]
  5. M. P. BENDSØE, 1989, Optimal shape design as a material distribution problem, Structural Optimization, 1, pp. 193-202.
  6. A. BENSOUSSAN, J. L. LIONS and G. PAPANICOLAOU, 1978, Asymptotic Analysis for Periodic Structures, North Holland. [MR: 503330] [Zbl: 0404.35001]
  7. J. DVOŘÁK, 1994, A reliable numerical method for computing homogenized coefficients, MAT Report 31, Mathematical Institute, Danish Technical University, Lyngby, Denmark, ISSN 0904-7611 ; submitted.
  8. G. A. FRANCFORT and F. MURAT, 1987, Optimal bounds for conduction in two-dimensinal, two-phase anisotropic media, Non-Classical Continuum Mechanics, pp. 97-125. [MR: 926503] [Zbl: 0668.73018]
  9. Y. GRABOVSKY, 1994, Microstructures minimizing the energy of a two phase elastic composite in two space dimensions. I : The confocal ellipse construction, preprint. [Zbl: 0870.73041]
  10. Y. GRABOVSKY, 1994, Microstructures minimizing the energy of a two phase elastic composite in two space dimensions. II : The Vidgergauz microstructure, preprint. [Zbl: 0877.73041]
  11. R. V. KOHN and G.W. MILTON, 1986, On bounding the effective conductivity of anisotropic composites, in Homogenization and Effective Moduli of Materials and Media, J. Ericksen et al, eds., Springer, pp. 97-125. [MR: 859413] [Zbl: 0631.73012]
  12. R. V. KOHN and G. STRANG, 1986, Optimal design and relaxation of variational problems I-III, Comm. Pure Appl Math., 39, pp. 113-137, 139-182, 353-377. [MR: 820342] [Zbl: 0621.49008]
  13. J. L. LIONS, 1981, Some Methods in the Mathematical Analysis of Systems and Their Control, Gordon and Breach Science Publishers, Inc. [MR: 664760] [Zbl: 0542.93034]
  14. K. LURIE and A. CHERKAEV, 1986, The effective properties of composites and problems of optimal design of constructions, Uspekhi Mekhaniki, 9, pp. 1-81. [MR: 885713]
  15. [15]K. LURIE and A. CHERKAEV, 1984, Exact estimates of conductivity of composites formed by two isotropically conducting media taken in prescribed proportion, Proc. Roy. Soc. Edinburgh, 99A, pp. 71-87. [MR: 781086] [Zbl: 0564.73079]
  16. G. W. MlLTON, 1990, On charactenzing the set of composite materials: the variational method and the translation method, Comm. Pure Appl. Math., pp. 63-125. [Zbl: 0751.73041]
  17. F. MURAT and L. TARTAR, 1985, Calcul des variations et homogénéisation, in Les Méthodes de l'Homogénéisation : Théorie et Applications en Physique, Eyrolles, pp. 319-369. [MR: 844873]
  18. O. PIRONNEAU, 1984, Optimal Design for Elliptic Problems, Springer. [Zbl: 0534.49001] [MR: 725856]
  19. E. SANCHEZ-PALENCÍA, 1980, Non-homogeneous media and vibration theory, in Lecture Notes in Physics, 147, Springer. [MR: 578345] [Zbl: 0432.70002]
  20. O. SIGMUND, Materials with prescribed constitutive parameters : an inverse homogenization problem, Int. J. Solids Structures (to appear). [MR: 1287768] [Zbl: 0946.74557]
  21. O. SIGMUND, 1994, Tailoring materials with prescribed elastic properties, DCAMM, Report 480, Danish Technical University.
  22. K. SUZUKI and N. KIKUCHI, 1991, A homogenization method for shape and topology optimization, Comp. Meth. AppL Mech. Engrg., 93, pp. 291-318. [Zbl: 0850.73195]
  23. L. TARTAR, Estimations fines de coefficients homogénéisés, in Ennio De Giorgi Colloquium, Pitman, pp. 168-187. [MR: 909716] [Zbl: 0586.35004]
  24. S. B. VIDGERGAUZ, 1989, Regular structures with extremal elastic properties, MTT, 24, pp. 57-63.

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