Some remarks on the optimal design of periodically reinforced structures

Giuseppe Buttazzo; Dominique Aze

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1989)

  • Volume: 23, Issue: 1, page 53-61
  • ISSN: 0764-583X

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Buttazzo, Giuseppe, and Aze, Dominique. "Some remarks on the optimal design of periodically reinforced structures." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 23.1 (1989): 53-61. <http://eudml.org/doc/193552>.

@article{Buttazzo1989,
author = {Buttazzo, Giuseppe, Aze, Dominique},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {periodically reinforced structures; optimal two-dimensional honeycomb structure},
language = {eng},
number = {1},
pages = {53-61},
publisher = {Dunod},
title = {Some remarks on the optimal design of periodically reinforced structures},
url = {http://eudml.org/doc/193552},
volume = {23},
year = {1989},
}

TY - JOUR
AU - Buttazzo, Giuseppe
AU - Aze, Dominique
TI - Some remarks on the optimal design of periodically reinforced structures
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1989
PB - Dunod
VL - 23
IS - 1
SP - 53
EP - 61
LA - eng
KW - periodically reinforced structures; optimal two-dimensional honeycomb structure
UR - http://eudml.org/doc/193552
ER -

References

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  1. [1] H. ATTOUCH, Variational Convergence for Functions and Operators. Appl.Math. Ser., Pitman, Boston (1984). Zbl0561.49012MR773850
  2. [2] H. ATTOUCH and G. BUTTAZZO, Homogenization of reinforced periodic one-condimensional structures, Ann. Scuola Normale Sup. Pisa, 14, 3 (1987). Zbl0654.73017MR951229
  3. [3] A. BENSOUSSAN and J. L. LION and G. PAPANICOLAOU, Asymptotic Analysis for Periodic Structures, North-Holland, Amsterdam (1978). Zbl0404.35001MR503330
  4. [4] L. CARBONE and C. SBORDONE, Some properties of Г-limits of integral functionals. Ann. Mat. Pura Appl., 122 (1979), 1-60. Zbl0474.49016MR565062
  5. [5] D. CIORANESCU and J. SAINT-JEAN PAULIN, Reinforced and alveolar structures. Publication 85042 du Laboratoire d'Analyse Numérique Paris VI, Paris (1985). 
  6. [6] P. MARCELLINI, Periodic solutions and homogenization of nonlinear variational problems. Ann. Mat. Pura Appl., 117 (1978), 139-152. Zbl0395.49007MR515958
  7. [7] F. MURAT and L. TARTAR, Optimality conditions and homogenization. Proceedings of «Nonlinear Variational Problems», Isola d'Elba 1983, edited by A. Marino and L. Modica and S. Spagnolo and M. Degiovanni, Res. Notes in Math. 127, Pitman, Boston (1983), 1-8. Zbl0569.49015MR807532
  8. [8] E. SANCHEZ-PALENCIA, Non Homogeneous Media and Vibration Theory, Lecture Notes in Phys. 127, Springer-Verlag, Berlin (1980). Zbl0432.70002MR578345
  9. [9] L. TARTAR, Estimations fines de coefficients homogénéisés. Proceedings of « Ennio De Giorgi Colloquium », Paris 1983, edited by P. Kree, Res. Notes in Math. 125, Pitman, Boston (1985), 168-187. Zbl0586.35004MR909716

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