Dependence of the buckling load of a nonshallow arch with respect to the shape of its midcurve
ESAIM: Modélisation mathématique et analyse numérique, Tome 24 (1990) no. 3, pp. 307-341. 
@article{M2AN_1990__24_3_307_0,
     author = {Chenais, D. and Rousselet, B.},
     title = {Dependence of the buckling load of a nonshallow arch with respect to the shape of its midcurve},
     journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
     pages = {307--341},
     publisher = {AFCET - Gauthier-Villars},
     address = {Paris},
     volume = {24},
     number = {3},
     year = {1990},
     mrnumber = {1055303},
     zbl = {0708.73033},
     language = {en},
     url = {http://www.numdam.org/item/M2AN_1990__24_3_307_0/}
}
TY  - JOUR
AU  - Chenais, D.
AU  - Rousselet, B.
TI  - Dependence of the buckling load of a nonshallow arch with respect to the shape of its midcurve
JO  - ESAIM: Modélisation mathématique et analyse numérique
PY  - 1990
SP  - 307
EP  - 341
VL  - 24
IS  - 3
PB  - AFCET - Gauthier-Villars
PP  - Paris
UR  - http://www.numdam.org/item/M2AN_1990__24_3_307_0/
LA  - en
ID  - M2AN_1990__24_3_307_0
ER  - 
%0 Journal Article
%A Chenais, D.
%A Rousselet, B.
%T Dependence of the buckling load of a nonshallow arch with respect to the shape of its midcurve
%J ESAIM: Modélisation mathématique et analyse numérique
%D 1990
%P 307-341
%V 24
%N 3
%I AFCET - Gauthier-Villars
%C Paris
%U http://www.numdam.org/item/M2AN_1990__24_3_307_0/
%G en
%F M2AN_1990__24_3_307_0
Chenais, D.; Rousselet, B. Dependence of the buckling load of a nonshallow arch with respect to the shape of its midcurve. ESAIM: Modélisation mathématique et analyse numérique, Tome 24 (1990) no. 3, pp. 307-341. http://www.numdam.org/item/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 | Zbl

[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

[3] T. Kato, Perturbation Theory for Linear Operators, Springer Verlag, 1966. | MR | Zbl

[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 | Zbl

[5] Mysunski-Sokolowski, Non-Differentiable Optimization Problems for Elliptic Systems, SIAM J. Optim. Contr. 23 (1985), pp. 632-648. | Zbl

[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

[7] B. Rousselet, D. Chenais, Continuité et différentiabilité des éléments propres ; application à l'optimisation des structures, to be published. | Zbl

[8] P. G. Ciarlet, The finite element method for elliptic problems, North Holland, 1978. | MR | Zbl

[9] H. Brezis, Analyse fonctionnelle, Théorie et applications, Masson 1983. | MR | Zbl

[10] P. Grisvard, Elliptic Problems in Nonsmooth Domains, Pitman 1985. | MR | Zbl

[11] Ioffe, Tihomirov, Theory of External Problems, North Holland, 1979. | Zbl