Numerical analysis of junctions between thin shells Part 1: Continuous problems

Computer Methods in Applied Mechanics and Engineering

Volumn 161, Issue 3-4, 1998, Pages 349-363

  Bernadou, Michel ^a,b   Cubier, Annie ^a,b  

^a PÔLE UNIVERSITAIRE LÉONARD DE VINCI   (France)

^b INRIA   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ELASTICITY; MATHEMATICAL MODELS; NUMERICAL ANALYSIS; SHELLS (STRUCTURES); STRUCTURAL ANALYSIS; VARIATIONAL TECHNIQUES;

STRUCTURAL JUNCTIONS;

JOINTS (STRUCTURAL COMPONENTS);

EID: 0032137859     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(97)00325-3     Document Type: Article

References (19)

1. [1] E.H. Baker, L. Kovalevsky and F.L. Rish, Structural Analysis of Shells (R.E. Krieger Publishing Company, Huntington, New York, 1981).
2. [2] W. Flügge, Stresses in Shells, 2nd edition (Springer Verlag, 1973).
3. [3] C.R. Calladine, Theory of Shell Structures (Cambridge University Press, 1983).
4. [4] K.J. Bathe, Finite Element Procedures in Engineering Analysis (Prentice Hall, Englewood Cliffs, NJ, 1982).
5. [5] K.J. Bathe and L.W. Ho, Some results in the analysis of thin shell structures, in: W. Wunderlich et al., eds, Nonlinear Finite Element Analysis in Structural Mechanics (Springer-Verlag, Berlin, 1981) 122-150.
6. [6] M. Aufranc, Numerical study of junction between a three-dimensional elastic structure and a plate, Comput. Methods Appl. Mech. Engrg. 74 (1989) 207-222.
7. [7] P.G. Ciarlet, Plates and Junctions in Elastic Multistructures: an Asymptotic Analysis (Collection RMA, Masson, 1990).
8. [8] H. Le Dret, Problèmes Variationnels dans les Multi-domaines: Modélisation des Jonctions et Applications (Masson, Paris, 1991).
9. [9] M. Bernadou, S. Fayolle and F. Léné, Numerical analysis of junctions between plates, Comput. Methods Appl. Mech. Engrg. 74 (1989) 307-326.
10. [10] W.T. Koiter, On the nonlinear theory of thin elastic shells, Proc. Kon. Nederl. Akad. Wetensch., series B 69 (1966) 1-54.
11. [11] M. Bernadou and P.G. Ciarlet, Sur l'ellipticité du modèle linéaire de coques de W.T. Koiter, in: Computing Methods in Applied Sciences and Engineering, Lectures Notes in Economics and Mathematical Systems, Vol. 134 (Springer-Verlag, Berlin, 1976) 86-136.
12. [12] M. Bernadou, P.G. Ciarlet and B. Miara, Existence theorems for two-dimensional linear shell theory, J. Elasticity 34 (1994) 11-138.
13. [13] J.H. Argyris and N. Lochner, On the application of the SHEBA shell element, Comput. Methods Appl. Mech. Engrg. 1 (1972) 317-347.
14. [14] F. Leonhardt and J. Schlaich, Das Hyparschalen-Dach des Hallenbades Hamburg Sechslingspforte (Beton und Stahlbetonbau, Berlin, 1970) 207-214.
15. [15] M.F. Alencar and A.J. Ferrante, The treatment of offshore structures, tubular joints in the ADEP system, Adv. Eng. Software 6(3) (1984).
16. [16] M. Bernadou, Finite Element Methods for Thin Shells Problem (J. Wiley and Sons, Chichester, 1996).
17. [17] A. Cubier, Analyse et Simulation Numérique de Jonction de Coques Minces, Thèse de l'Université P. et M. Curie, 1994.
18. [18] A.E. Green and W. Zerna, Theoretical Elasticity, 2nd edition (Oxford University Press, 1968).
19. [19] K. Yosida, Functional Analysis, 3rd edition (Springer Verlag, 1968).