no. 2
Membrane locking in the finite element computation of very thin elastic shells
ESAIM: Modélisation mathématique et analyse numérique, Tome 32 (1998) no. 2, pp. 131-152 
@article{M2AN_1998__32_2_131_0,
     author = {Choi, D. and Palma, F. J. and Sanchez-Palencia, E. and Vilari\~no, M. A.},
     title = {Membrane locking in the finite element computation of very thin elastic shells},
     journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
     pages = {131--152},
     year = {1998},
     publisher = {Elsevier},
     volume = {32},
     number = {2},
     mrnumber = {1622605},
     zbl = {0905.73066},
     language = {en},
     url = {https://www.numdam.org/item/M2AN_1998__32_2_131_0/}
}
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Choi, D.; Palma, F. J.; Sanchez-Palencia, E.; Vilariño, M. A. Membrane locking in the finite element computation of very thin elastic shells. ESAIM: Modélisation mathématique et analyse numérique, Tome 32 (1998) no. 2, pp. 131-152. https://www.numdam.org/item/M2AN_1998__32_2_131_0/

[1] J. L. Akian et E. Sanchez-Palencia, " Approximation des coques élastiques minces par facettes palnes. Phénomène deblocage membranaire", Compt. Rend. Acad. Sci. Paris, 315, p. 363-369 (1992). | Zbl | MR

[2] I. Babuska and M. Suri, " On locking and robustness in the finite element method", SIAM Jour. Numer. Anal., 29, p. 1261-1293 (1992). | Zbl | MR

[3] T. Belytschko, H. Stolarski, W.K. Liu, N. Carpenter and J.S.J. Ong, " Stress projection for membrane and shear locking in shell finite elements", Comp. Meth. Appl. Mech. Engng., 51, p. 221-258 (1985). | Zbl | MR

[4] M. Bernadou, " Méthodes d'éléments finis pour les problèmes de coques minces", Masson, Paris (1994).

[5] M. Bernadou and Rg. Ciarlet, " Sur l'ellipticité du modèle linéaire de coques de W.T. Koiter", in Computing methods in Sciences and Engineering, R. Glowinski, J.L. Lions éd., p. 89-136, Lecture Notes in Econom. and Math. Systems, vol. 134 (1976). | Zbl

[6] D. Chenais, J. C. Paumier, " On the locking phenomenon for a class of elliptic problems", Num. Math., 67, p. 427-440 (1994). | Zbl | MR

[7] Pg. Ciarlet, " The finite element method for elliptic problems", North-Holland, Amsterdam (1978). | Zbl | MR

[8] G. Geymonat and E. Sanchez-Palencia, " On the rigidity of certain surfaces with edges and application to shell theory", Arch. Rat. Mech. Anal., 129, p. 11-45 (1995). | Zbl | MR

[9] A. Habbal and D. Chenais, " Deterioration of a finite element method for arch structures when thickness goes to zero", Num. Math., 62, p. 321-341 (1992). | Zbl | MR

[10] A. Kalmoulakos, " A Catenoidal patch test for the inextensional bending of thin shell finite elements", Comput. Meth. Appl. Mech. Engng., 92, p. 1-32 (1991). | Zbl

[11] F. Kikuchi, " Accuracy for some finite element models for arch problems", Comput. Meth. Appl. Mech. Engng., 35, p. 315-345 (1982). | Zbl | MR

[12] J.N. Lyess and D. Jesperse, " Moderate degree symmetrie quadrature rules for the triangle", Jour. Inst. Math. Appl, 15, p. 19-32 (1975). | Zbl | MR

[13] F. Niordson, " Shell Theory", North-Holland, Amsterdam (1985). | Zbl | MR

[14] J. Pitkaranta, " The problem of membrane locking in finite element analysis of cylindrical shells", Num. Math., 61, p. 523-542 (1992). | Zbl | MR

[15] E. Sanchez-Palencia, " Statique et dynamique des coques minces. I: Cas de flexion pure non inhibée", Compt. Rend. Acad. Sci. Paris, série I, 309, p. 411-417 (1989). | Zbl | MR

[16] E. Sanchez-Palencia, " Statique et dynamique des coques minces. II: Cas de flexion pure inhibée, approximation membranaire", Compt. Rend. Acad. Sci. Paris, sériel, 309, p. 531-537 (1989). | Zbl | MR

[17] E. Sanchez-Palencia, " Asymptotic and spectral properties of a class of singular-stiff problems", J. Math. Pures Appl.,71, p. 379-406 (1992). | Zbl | MR

[18] E. Sanchez-Palencia, " On the membrane approximation for thin elastic shells in the hyperbolic case", Rev. Mat. Uni. Comp. Mad, 6, p. 311-321 (1993). | Zbl | MR

[19] E. Sanchez-Palencia, " Surfaces et coques élastiques minces: problèmes et défis", La Vie des Sciences, 12, p. 239-258 (1995). | Zbl | MR

[20] L. Schwartz, " Cours d'Analyse, vol. 1", Hermann, Paris (1981).