D. N. Arnold, Discretization by finite elements of a model parameter dependent problem, Numerische Mathematik, vol.5, issue.41, pp.405-421, 1981.
DOI : 10.1007/BF01400318

D. N. Arnold and F. Brezzi, Locking-free finite element methods for shells, Mathematics of Computation, vol.66, issue.217, 1993.
DOI : 10.1090/S0025-5718-97-00785-0

K. Arunakirinathar and B. D. Reddy, Mixed finite element methods for elastic rods of arbitrary geometry, Numerische Mathematik, vol.49, issue.1, pp.13-43, 1993.
DOI : 10.1007/BF01388679

K. J. Bathe, Finite Element Procedures, 1995.

M. Bernadou and Y. Ducatel, Approximation of general arch problems by straight beam elements, Numerische Mathematik, vol.3, issue.1, pp.1-29, 1982.
DOI : 10.1007/BF01459071
URL : https://hal.archives-ouvertes.fr/inria-00076440

F. Brezzi and M. Fortin, Mixed and Hybrid Finite Element Methods, 1991.
DOI : 10.1007/978-1-4612-3172-1

D. Chenais and J. Paumier, On the locking phenomenon for a class of elliptic problems, Numerische Mathematik, vol.67, issue.4, pp.427-440, 1994.
DOI : 10.1007/s002110050036

P. G. Ciarlet, The Finite Element Method for Elliptic Problems, 1978.

F. Kikuchi, On the validity of the finite element analysis of circular arches represented by an assemblage of straight beam elements, Comput. Methods Appl. Mech. Engrg, vol.5, pp.253-276, 1975.

F. Kikuchi, Accuracy of some finite element models for arch problems, Computer Methods in Applied Mechanics and Engineering, vol.35, issue.3, pp.315-345, 1982.
DOI : 10.1016/0045-7825(82)90109-8

F. Kikuchi and K. Tanizawa, Accuracy and locking-free property of the beam element approximation for arch problems, Computers & Structures, vol.19, issue.1-2, pp.103-110, 1984.
DOI : 10.1016/0045-7949(84)90208-6

A. F. Loula, L. P. Franca, T. J. Hughes, and I. Miranda, Stability, convergence and accuracy of a new finite element method for the circular arch problem, Computer Methods in Applied Mechanics and Engineering, vol.63, issue.3, pp.281-303, 1987.
DOI : 10.1016/0045-7825(87)90074-0

H. C. Martin, Introduction to Matrix Methods of Structural Analysis, 1966.

J. Pitkäranta, The problem of membrane locking in finite element analysis of cylindrical shells, Numerische Mathematik, vol.41, issue.1, pp.523-542, 1992.
DOI : 10.1007/BF01385524

B. D. Reddy and M. B. Volpi, Mixed finite element methods for the circular arch problem, Computer Methods in Applied Mechanics and Engineering, vol.97, issue.1, pp.125-145, 1992.
DOI : 10.1016/0045-7825(92)90110-6

I. Unité-de-recherche, V. Lorraine, and I. Le-`-sle-`-le-`-s-nancy-unité-de-recherche, Technopôle de Nancy-Brabois, Campus scientifique, 615 rue du Jardin Botanique, pp.38031-38032

I. Unité-de-recherche and . Rocquencourt, Domaine de Voluceau, Rocquencourt, BP 105, 78153 LE CHESNAY Cedex Unité de recherche INRIA Sophia-Antipolis, 2004.