Deep doubly curved multilayered shell theory

AIAA Journal

Volumn 37, Issue 1, 1999, Pages 100-109

  Ossadzow, Claire ^a,b   Touratier, Maurice ^a   Muller, Patrick ^a  

^a CNRS   (France)

^b IRISA   (France)

Author keywords

[No Author keywords available]

Indexed keywords

CYLINDERS (SHAPES); ELASTICITY; FUNCTIONS; INTERFACES (MATERIALS); KINEMATICS; MATHEMATICAL MODELS; PLATES (STRUCTURAL COMPONENTS); PROBLEM SOLVING; SENSITIVITY ANALYSIS; SHEAR STRESS; STRUCTURAL ANALYSIS; STRUCTURAL PANELS;

DEEP DOUBLY CURVED MULTILAYERED SHELL THEORY; DOUBLE SINUSOIDAL TRANSVERSE LOADING; TRIGONOMETRIC FUNCTIONS;

SHELLS (STRUCTURES);

EID: 0032710773     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/2.670     Document Type: Article

References (23)

1. Di Sciuva, M., "An Improved Third-Order Shear Deformation Theory for Moderately Thick Multilayered Anisotropic Shells and Plates," Journal of Applied Mechanics, Vol. 54, Sept. 1987, pp. 589-596.
2. Timarci, T., and Soldatos, K. P., "Comparative Dynamic Studies for Symmetric Cross-Ply Circular Cylindrical Shells on the Basis of a Unified Shear Deformable Shell Theory," Journal of Sound and Vibration,Vol. 187, No. 4, 1995, pp. 609-624.
3. He, L.-H., "A Linear Theory of Laminated Shells Accounting for Continuity of Displacements and Transverse Shear Stresses at Layer Interfaces," International Journal of Solids and Structures, Vol. 31, No. 5, 1994, pp. 613-627.
4. Shu, X. P., "A Refined Theory of Laminated Shells with Higher-Order Transverse Shear Deformation," International Journal of Solids and Structures, Vol. 34, No. 6, 1997, pp. 673-683.
5. Touratier, M., "Propagation des ondes élastiques dans les tiges rectangulaires renforcées de fibres unidirectionnelles," International Journal for Engineering Science, Vol. 18, 1980, pp. 931-946.
6. Stein, M., "Nonlinear Theory for Plates and Shells Including the Effects of Transverse Shearing," AIAA Journal, Vol. 24, No. 9, 1986, pp. 1537-1544.
7. Touratier, M., "A Refined Theory of Laminated Shallow Shells," International Journal of Solids and Structures, Vol. 29, No. 11, 1992, pp. 1401-1415.
8. Touratier, M., and Béakou, A., "A Higher-Order Finite Element Computational Model of Composite Laminates," 25th European Conference on Composite Materials (Bordeaux, France), edited by A. R. Bunsell, 1992.
9. Béakou, A., and Touratier, M., "A Rectangular Finite Element for Analysing Composite Multilayered Shallow Shells in Statics, Vibration and Buckling," International Journal for Numerical Methods in Engineering, Vol. 36, 1993, pp. 627-653.
10. Touratier, M., "An Efficient Standard Plate Theory," International Journal for Engineering Science, Vol. 29, No. 8, 1991, pp. 901-916.
11. Touratier, M., "A Generalization of Shear Deformation Theories for Axisymmetric Multilayered Shells," International Journal of Solids and Structures, Vol. 29, No. 11, 1992, pp. 1379-1399.
12. Mindlin, R. D., "Influence of Rotatory Inertia and Shear on Flexural Motions of Isotropic and Elastic Plates," Journal of Applied Mechanics, Vol. 18, 1951, pp. 31-38.
13. Naghdi, P. M., "The Theory of Shells and Plates," Handbuch der Physik, edited by S. Flügge, Springer, Berlin, 1972, Vla/2, pp. 425-640.
14. Koiter, W. T., and Simmonds, J. G., "Foundation of Shell Theory," Theoretical and Applied Mechanics, Proceedings of 13th International Congress Theoretical Applied Mechanics, Springer, Berlin, 1973.
15. Cheng, S., "Elasticity Theory of Plates and a Refined Theory," Journal of Applied Mechanics, Vol. 46, No. 3, 1979, pp. 644-650.
16. Pagano, N. J., "Exact Solutions for Rectangular Bidirectional Composites and Sandwich Plates," Journal of Composite Materials, Vol. 4, Jan. 1970, pp. 20-34.
17. Ren, J. G., "Exact Solutions for Laminated Cylindrical Shells in Cylindrical Bending," Composites Science and Technology, Vol. 29, 1987, pp. 169-187.
18. Reddy, J. M., "A Simple Higher-Order Theory for Laminated Composite Plates," Journal of Applied Mechanics, Vol. 51, 1984, pp. 745-752.
19. Ladevèze, P., and Pécastaings, F., "The Optimal Version of Reissner's Theory," Journal of Applied Mechanics, Vol. 55, June 1988, pp. 413-418.
20. Duva, J. M., and Simmonds, J. G., "The Usefulness of Elementary Theory for the Linear Vibrations of Orthotropic Elastic Beams and Corrections Due to Two-Dimensional End Effects," Journal of Applied Mechanics, Vol. 58, March 1991, pp. 175-180.
21. Babushka, I., Szabo, B. A., and Actis, R. L., "Hierarchic Models for Laminated Composites," International Journal for Numerical Methods in Engineering, Vol. 33, 1992, pp. 503-535.
22. Cheng, S., "A Method for Solving Boundary Value Problems Without Ad-Hoc Assumptions," Journal of Elasticity, Vol. 7, No. 3, 1977, pp. 329-335.
23. Touratier, M., and Faye, J.-P., "On a Refined Model in Structural Mechanics: Finite Element Approximation and Edge Effect Analysis for Axisymmetric Shells," Computers and Structures, Vol. 54, No. 5, 1995, pp. 897-920.