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Table des matières de ce fascicule | Article suivant
Chenais, D.; Rousselet, B.
Dependence of the buckling load of a nonshallow arch with respect to the shape of its midcurve. RAIRO - Modélisation mathématique et analyse numérique, 24 no. 3 (1990), p. 307-341
Texte intégral djvu | pdf | Analyses MR 1055303 | Zbl 0708.73033
URL stable: http://www.numdam.org/item?id=M2AN_1990__24_3_307_0
[1] D. CHENAIS, B. ROUSSELET, R. BENEDICT, Design Sensitivity for Arch Structures with Respect to Midsurface Shape under Static Loading, Journal of of Optimization Theory & Applications, 58-2, 1988. MR 953655 | Zbl 0631.49015
[2] N. OLHOFF, S. H. RASMUSSEN, On Single and Bimodal Buckling Modes of Clamped Columns, In, t. J. of Solids & Structures, 13, 605-614, 1977. Zbl 0357.73041
[3] T. KATO, Perturbation Theory for Linear Operators, Springer Verlag, 1966. MR 203473 | Zbl 0148.12601
[4] B. ROUSSELET, Étude de la régularité des valeurs propres par rapport à des déformations bilipschitziennes du domaine, CRAS, 1, 283, 1976, Paris, p. 507. MR 427865 | Zbl 0355.65081
[5] MYSUNSKI-SOKOLOWSKI, Non-Differentiable Optimization Problems for Elliptic Systems, SIAM J. Optim. Contr. 23 (1985), pp. 632-648. Zbl 0571.49010
[6] J. P. ZOLÉSIO, Semi-Derivatives of Repeated Eigenvalues, Optim. of Distr. Param. Struct. E. J. Haug and J. Céa, Edit., Sithoff-Noordhoff, 1981, Rocheville, Maryland. Zbl 0518.73086
[7] B. ROUSSELET, D. CHENAIS, Continuité et différentiabilité des éléments propres ; application à l'optimisation des structures, to be published. Zbl 0741.73029
[8] P. G. CIARLET, The finite element method for elliptic problems, North Holland, 1978. MR 520174 | Zbl 0383.65058
[9] H. BREZIS, Analyse fonctionnelle, Théorie et applications, Masson 1983. MR 697382 | Zbl 0511.46001
[10] P. GRISVARD, Elliptic Problems in Nonsmooth Domains, Pitman 1985. MR 775683 | Zbl 0695.35060
[11] IOFFE, TIHOMIROV, Theory of External Problems, North Holland, 1979. Zbl 0407.90051
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