J. P. Abott, An efficient algorithm for the determination of certain bifurcation points, Journal of Computational and Applied Mathematics, vol.4, issue.1, p.19, 1978.
DOI : 10.1016/0771-050X(78)90015-3

L. Azrar, . Cochelin-8, N. Damil, and M. Potier-ferry, An asymptotic-numerical method to compute bifurcating branches, Tn New Advances in computational Structural Mechanics, pp.117-131, 1992.

L. Azrar, Potier-Feruy M., 1 gg3An asymptotic-numerical method to compute the post-buckling behaviour of elastic plates and shells, lnter. J. Numer. Methods. Engng, vol.36, pp.125-1277

L. Azrar, Etude du comPortement post-critique des coques cylindriques par une méthode Asymptotique-Numérique" Thèse de I, 1993.

G. 4. Baker and P. Graves-morris, Padé Approxirmnts, Part I : Basic Theory. Encyclopedia of Mathematics a-nd its applications, 1981.

K. J. Bathe, Finite Element Procedures in Engineering Analysis, Journal of Pressure Vessel Technology, vol.106, issue.4
DOI : 10.1115/1.3264375

J. L. Batoz and G. Dhatt, Incremental displacement algorithms for nonlinear problems, International Journal for Numerical Methods in Engineering, vol.14, issue.8, pp.1262-1267, 1979.
DOI : 10.1016/B978-0-12-747250-8.50035-7

J. L. Batoz, G. Dhatt, and M. Fafard, Algorithmes de calcul automatique des configurations pré et post-flambement des stmchlres, Ac1es du trosième colloque tendances actuelles en calcul de stnrctures, pp.6-8, 1985.

L. Bauer, E. L. Reiss, and H. Kelter, Axisymetric buckling of hollow spheres and hemispheres, Communication on pure and applied mathemtics, pp.529-568, 1970.

P. G. Bergan, G. Ilorrigmoe, K. 8. , and T. H. L978, ,solution gsçhniques for non-linear frnite element problems, Inter. J

P. G. Bergan, I. Holand, T. H. Soreide, R. Gloewinski, E. 'y-'rodin et al., IJse of culrent stiffness parameter in solution of nonlinear problems, Energy method in ftnite elernent analysis, pp.256-282

E. H. Boutyour, . Cochelin-8, N. Damil, and M. Potier-'ferry, Calculs non-linéaires par des méthodes asymptotiques-numériques: application aux structures élastiques, Colloque national en calcul des su.ucrures mal Giens, pp.11-14, 1993.

E. H. Boutyour, C. 8. Potier-'ferry, and M. , Calcul des points de bifurcation par une méthode asymptotique-numérique, Proc. 1o Congrès National de Mécanique au Maroc, pp.37-378, 1993.

D. O. Brush and B. O. Almroth, Buckling of Bars, Plates, and Shells, Journal of Applied Mechanics, vol.42, issue.4
DOI : 10.1115/1.3423755

D. Bushnell, Computerized buckling analysis of shells, 1985.

J. Schmidt and R. , A solution control method for nontrinear finite element post-buckling analysis of structures, Postbuckling of elastic structures, 1986.

C. 8. Damil and N. , Potier-Ferry M-, 1994 -aAsymptotic- Numerical methods and Padé approximants for nonlinear elastic structures, Inter. J. Numer. Methods. Engng, vol.37, pp.1187-1213

C. 8. Damil, N. Potier-ferry, and M. , The Asymptotic- Numerical Méthods: an efficient perrurbation technique for non-linear structural mechanics, Reme européenne des éléments finis, vol.3, issue.2, pp.281-297, 1994.

M. A. Crisfield, A fast incremental/iterative solution procedure that handles ???snap-through???, Computers & Structures, vol.13, issue.1-3, pp.55-62, 1981.
DOI : 10.1016/0045-7949(81)90108-5

M. A. Crisfield, An arc-length method including line searches and accelerations, International Journal for Numerical Methods in Engineering, vol.97, issue.9, pp.1269-1289, 1983.
DOI : 10.1680/iicep.1982.1876

M. A. Crisfield, J. Shi, and X. Peng, Some recent developpements with'shell and stabilit=y,*,analysis, New advances in computaticnal structures mechanics, P. Ladevèze and O. C. Zienkiewicz Eds, pp.249-258, 1992.

M. Crouzeix and J. Rappaz, On numerical approximation in bifurcation theory, 1990.

N. Damil and M. Potier-ferry, A new method to compute perfurbed bifurcations: Application to the buckling of imperfect elastic strucrures, Int. J. of Eng. and Sciences, vol.289, pp.943-957, 1990.

N. Damil, De la théorie de la bifurcation au calcul des strucrures, Thèse D'état, 1990.

N. Damil and M. Potier-ferry, IJne technique de perfurbation pour le calcul des strucrures avec fortes non-linéarités, Comptes Rendus Académie des sciences Paris, t 318, série tr, pp.713-719, 1994.

J. R. Fitch, The buckling and post-buckling behavior of spherical caps under concentrated load, International Journal of Solids and Structures, vol.4, issue.4, pp.421-446, 1968.
DOI : 10.1016/0020-7683(68)90048-6

R. H. Gallagher, Perturbation procedures in nonlinear finite element strucûrral analysis, Computational Mechanics-I-ecture Notes in Mathematics, vol.1, issue.461, pp.75-89

G. Iooss and D. D. Joseph, Elementary stability and bifurcation theory, p.2, 1990.

J. F. Imbert and . Lg84, Analyse des structures par éIéments finis, cepadues Editions, 2ème édition

R. Kearfott, Some General Bifurcation Techniques, SIAM Journal on Scientific and Statistical Computing, vol.4, issue.1, pp.52-68, 1983.
DOI : 10.1137/0904004

J. P. Keener and E. B. Keller, Pertu,rbed bifurcation theory, pp.159-179

H. Keller, Numérical solulions of bifurcation and non-linear eigenvalue problems, Application of bifurcation theory, Rabinowitz P. Eds

. T. Koiter-\il, On the stability of elastic equilibrium" Thesis, Trans., F, vol.10, p.883, 1945.

. T. Koiter-\il, Elastic stabitity and post-buckling behavior, Proc' Symp. nonlinear problems, 1963.

R. Kouhia and M. Mikkola, Tracing the equilibrium path beyond simple critical points, International Journal for Numerical Methods in Engineering, vol.7, issue.12, pp.2923-2941, 1989.
DOI : 10.1115/1.3601302

'. W. Kratzig, Fundamentals of Numerical Algorithms for static and dynamic instability phenomena of thin shells" in Computational mechanics of nonlinear response of shells, 1990.

. Kroplin-8, D. Dinkler, and J. Hillman, An energy perturbation applied to nonlinear structural analysis, Computer Methods in Applied Mechanics and Engineering, vol.52, issue.1-3, pp.52-885, 1985.
DOI : 10.1016/0045-7825(85)90019-2

M. Potier-ferry, Fondements mathématiques de la théorie de la stâbilité élastique, Ttlèse de Doctorat d'état, 1978.

M. Potier-ferry, Bifurcation et stabilité pour des systèmes dérivant d'un potentiel, J. Mécanique, vol.17, issue.4, 1978.

M. Potier-ferry and . Lg87, Foundations of elastic post-buckling theory, Buckling and Post-buckling, Lecture notes in physics, p.82

E. Riks, Some computational aspects of the stability analysis of nonlinear structures, Computer Methods in Applied Mechanics and Engineering, vol.47, issue.3, pp.47-219, 1984.
DOI : 10.1016/0045-7825(84)90078-1

R. 8. L972, The application of Newton's method to the problem of elastic stabilify, Journal of applied mechanics, vol.39, pp.1060-1065

. Roordaj, Mech Div. Am' Soc' civ' Engrs" February' pP 87' sabir A.8Latge deflexion, geometricatly non-linear finite element analysis of circular arches, Int' J' Mech' Sci, vol.15, pp.37-47, 1965.

R. Seydel, Numerical computation of branch points in nonlinear equations, Numerische Mathematik, vol.12, issue.3, pp.339-352
DOI : 10.1007/BF01398649

R. Seydel, Branch switching in bifurcation problems for ordinary differential equations, Numerische Mathematik, vol.2, issue.1, pp.93-116, 1983.
DOI : 10.1007/978-1-4757-5592-3

F. Stoll, An implementation of solution strategies for the analysis of complex non-linear equilibrium behavior, International Journal of Non-Linear Mechanics, vol.29, issue.2, pp.109-122, 1994.
DOI : 10.1016/0020-7462(94)90030-2

J. M. Thompson and A. C. Walker, The nonlinear perturbation analysisofdiscretestructuralsystems'',Inter, J.SolidsandStnrctures, vol.4, 1968.

J. M. Thompson and . Lg70, Basic theorems of elastic stability, International Journal of Engineering Science, vol.8, issue.4, pp.307-313
DOI : 10.1016/0020-7225(70)90060-1

J. M. Thompson, G. Hunt, and . Lg84, Elastic Instability Phenomena, Journal of Applied Mechanics, vol.52, issue.1
DOI : 10.1115/1.3169017

P. Wriggers, A simple method for the calculation of postcritical bralches, Engng Compul, vol.5, pp.103-109, 1988.

W. Wagner and P. Wrrigers, Calculation of bifurcation points via fold curves, pp.69-84, 1991.

W. 8. Spence and A. , The computation of symmetry-breaking bifurcation points, Siam J. Numer. Anal, vol.21, p.pp, 1984.

P. Wrigers and J. C. Simo, A general procedure for the direct computation of turning and bifurcation points, International Journal for Numerical Methods in Engineering, vol.70, issue.1, pp.155-176, 1990.
DOI : 10.1007/978-3-0348-6256-1_39

P. Wriggers, W. Wagner, and C. Miehe, A quadratically convergent procedure for the calculation of stability points in finite element analysis, Computer Methods in Applied Mechanics and Engineering, vol.70, issue.3, pp.329-347, 1988.
DOI : 10.1016/0045-7825(88)90024-2

E. [. Weinitschke, On the calculation of limit and bifurcation points in stabiliry problems of elastic shells, Int. J. Solids Structures, Yol. 2I, issue.1, pp.79-95, 1985.

N. Yamaki, Elastic stability oi circular cylindrùeal shells, 1984.

T. Zienkiewicz, The finite element method, 1991.