Non-linear analysis of multilayered shells under initial stress

International Journal of Non-Linear Mechanics

Volumn 36, Issue 2, 2001, Pages 323-334

  Kulikov, G M ^a  

^a TAMBOV STATE TECHNICAL UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; COMPOSITE STRUCTURES; DEFORMATION; ELASTICITY; FIBER REINFORCED MATERIALS; FUNCTIONS; LAMINATED COMPOSITES; MATHEMATICAL MODELS; PROBLEM SOLVING; STRAIN; STRESS ANALYSIS; STRUCTURAL ANALYSIS;

DISCRETE-LAYER THEORY; NONLINEAR ANALYSIS;

SHELLS (STRUCTURES);

EID: 0035285513     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7462(00)00017-2     Document Type: Article

References (24)

1. Librescu L. Elastostatics and Kinetics of Anisotropic and Heterogeneous Shell-Type Structures. 1975;Noordhoff Int, Leyden.
2. A.E. Bogdanovich, Non-linear Dynamic Problems of Cylindrical Composite Shells, Zinatne, Riga, 1987 (in Russian).
3. E.I. Grigolyuk, G.M. Kulikov, Multilayered Reinforced Shells: Analysis of Pneumatic Tires, Mashinostroyenie, Moscow, 1988 (in Russian).
4. Grigolyuk E.I., Kulikov G.M. General direction of development of the theory of multilayered shells. Mech. Compos. Mater. 24:1988;231-241.
5. Noor A.K., Burton W.S. Assessment of computational models for multilayered composite shells. Appl. Mech. Rev. 43(4):1990;67-97.
6. Reddy J.N. Mechanics of Laminated Composite Plates: Theory and Analysis. 1997;CRC Press, Boca Raton, FL.
7. Sun C.T. Incremental deformations in orthotropic laminated plates under initial stress. Trans. ASME E. 40:1973;193-200.
8. Biot M.A. Buckling and dynamic of multilayered and laminated plates under initial stress. Int. J. Solids Struct. 10:1974;419-451.
9. Sun C.T., Whitney J.M. Dynamic response of laminated composite plates under initial stress. AIAA J. 14:1976;268-270.
10. Kulikov G.M. Nonaxisymmetric loading of a prestressed multilayered reinforced shell. Mech. Compos. Mater. 26:1990;254-258.
11. Grigolyuk E.I., Kulikov G.M. Local loading of rubber-cord shells of revolution. Mech. Compos. Mater. 27:1992;436-441.
12. Kulikov G.M. Computational models for multilayered composite shells with application to tires. Tire Sci. Technol. 24:1996;11-38.
13. L.I. Librescu, Some results concerning the refined theory of elastic multilayered shells. Part 1. The physically nonlinear theory, Rev. Roumaine Sci. Tech. Sér. Méc. Appl. 20 (1975) 93-105, 285-296.
14. Epstein M., Glockner P.G. Nonlinear analysis of multilayered shells. Int. J. Solids Struct. 13:1977;1081-1089.
15. Reddy J.N., Barbero E.J., Teply J.L. A plate bending element based on a generalized laminate plate theory. Int. J. Numer. Methods Eng. 28:1989;2275-2292.
16. Reddy J.N., Savoia M. Layer-wise shell theory for postbuckling of laminated circular cylindrical shells. AIAA J. 30:1992;2148-2154.
17. Kulikov G.M. Thermoelasticity of flexible multilayered anisotropic shells. Mech. Solids. 29:1994;27-35.
18. E.I. Grigolyuk, Finite deflections of three-layered shells with rigid core, Izv. Akad. Nauk SSSR. Otdel. Tekhn. Nauk 1 (1958) 26-34 (in Russian).
19. E.I. Grigolyuk, P.P. Chulkov, Non-linear equations of thin elastic multilayered shallow shells with rigid core, Izv. Akad. Nauk SSSR. Mekh. 5 (1965) 68-80 (in Russian).
20. E.I. Grigolyuk, P.P. Chulkov, On the theory of multilayered shells, Contributions to the Theory of Aircraft Structures, University Press, Delft, 1972, pp. 171-183.
21. Washizu K. Variational Methods in Elasticity and Plasticity. 3rd edition:1982;Pergamon Press, Oxford.
22. Kulikov G.M., Plotnikova S.V. Comparative analysis of two algorithms for numerical solution of nonlinear static problems for multilayered anisotropic shells of revolution. 2. Account of transverse compression. Mech. Compos. Mater. 35:1999;293-300.
23. Grigolyuk E.I., Kulikov G.M. Numerical solution of problems involving the statics of symmetrically nonlinear anisotropic multilayered shells of revolution. Mech. Compos. Mater. 17:1981;294-302.
24. Patel H.P., Kennedy R.H. Nonlinear finite element analysis for composite structures of axisymmetric geometry and loading. Comput. Struct. 15:1982;79-84.