Dynamic formulation for geometrically-exact sandwich shells

International Journal of Solids and Structures

Volumn 34, Issue 20, 1997, Pages 2517-2548

  Vu Quoc, L ^a   Ebcioglu I K ^a   Deng, H ^a  

^a UNIVERSITY OF FLORIDA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BENDING (DEFORMATION); JOINTS (STRUCTURAL COMPONENTS); LINEARIZATION; NONLINEAR EQUATIONS; SANDWICH STRUCTURES; SHEAR DEFORMATION; STRUCTURAL ANALYSIS;

SANDWICH SHELLS;

SHELLS (STRUCTURES);

EID: 0347075162     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(96)00142-4     Document Type: Article

References (27)

1. Bathe, K. J. (1996). Finite Element Procedures. Prentice Hall, New Jersey.
2. Chadwick, P. (1976). Continuum Mechanics. Wiley, New York.
3. Green, A. E. and Naghdi, P. M. (1982). A theory of laminated composite plates. IMA Journal of Applied Mathematics 29, 1-23.
4. Green, A. E. and Zerna, W. (1968). Theoretical Elasticity. Dover Publications, New York.
5. Hughes, T. J. R. (1987), The Finite Element Method. Prentice Hall, New Jersey.
6. Malvern, L. E. (1969). Introduction to the Mechanics of a Continuous Medium. Prentice Hall, New Jersey.
7. Marsden, J. E. and Hughes, T. J. R. (1983). Mathematical Foundations of Elasticity. Prentice Hall, New Jersey.
8. Naghdi, P. M. (1972). The theory of shells and plates. In Mechanics of Solids, ed. C. Truesdell, Vol. II, pp. 425-640. Springer, New York.
9. Noor, A. K. and Burton, W. S. (1989). Assessment of shear deformation for multilayered composite plates. Applied Mechanics Review 42, 1-12.
10. Noor, A. K., Burton, W. S. and Bert, C. W. (1996). Computational models for sandwich panels and shells. Applied Mechanics Review 49, 155-199.
11. Plantema, J. (1966). Sandwich Construction. Wiley, New York.
12. Simo, J. C. and Fox, D. D. (1989). On a stress resultant geometrically exact shell model. Part I: Formulation and optimal parametrization. Computers and Methods of Applied Mechanical Engineering 72, 267-304.
13. Simo, J. C. and Vu-Quoc, L. (1986a). On the dynamics of flexible beams under large overall motions - The plane case: Part I. ASME Journal of Applied Mechanics 53, 849-854.
14. Simo, J. C. and Vu-Quoc, L. (1986b). On the dynamics of flexible beams under large overall motions - The plane case: Part II. ASME Journal of Applied Mechanics 53, 855-863.
15. Simo, J. C. and Vu-Quoc, L. (1986c). A three-dimensional finite-strain rod model. Part II : Computational aspects. Computers and Methods of Applied Mechanical Engineering 58, 79-116.
16. Simo, J. C. and Vu-Quoc, L. (1988). On the dynamics in space of rods undergoing large motions - a geometrically-exact approach. Computers and Methods of Applied Mechanical Engineering 66, 125-161.
17. Simo, J. C., Fox, D. D. and Rifai, M. S. (1989). On a stress resultant geometrically exact shell model. Part II : the linear theory ; computational aspects. Computers and Methods of Applied Mechanical Engineering 73, 53-92.
18. Simo, J. C., Fox, D. D. and Rifai, M. S. (1990). On a stress resultant geometrically exact shell model. Part III: computational aspects of the nonlinear theory. Computers and Methods of Applied Mechanical Engineering 79, 21-70.
19. Simo, J. C., Rifai, M. S. and Fox, D. D. (1990). On a stress resultant geometrically exact shell model. Part IV: Variable thickness shells with through-the-thickness stretching. Computers and Methods of Applied Mechanical Engineering 81, 91-126.
20. Vu-Quoc, L. (1990). A perturbation method for dynamic analysis using under-integrated shell elements. Computers and Methods of Applied Mechanical Engineering 79, 129-172.
21. Vu-Quoc, L. and Deng, H. (1995a). Dynamics of geometrically-exact multilayer beams: computational aspects. Computers and Methods of Applied Mechanical Engineering (to appear).
22. Vu-Quoc, L. and Deng, H. (1995b). Galerkin projection for geometrically-exact multilayer beams allowing for ply drop-off. ASME Journal of Applied Mechanics 62, 479-488.
23. Vu-Quoc, L. and Deng, H. (1995c). Geometrically-exact multilayer shells : computational aspects. Computers and Methods of Applied Mechanical Engineering (In preparation).
24. Vu-Quoc, L. and Ebcioǧlu, I. K. (1995). Dynamic formulation for geometrically-exact sandwich beams and 1-D plates. ASME Journal of Applied Mechanics 62, 756-763.
25. Vu-Quoc, L. and Li, S. (1995). Dynamics of sliding geometrically-exact beams: large angle manoeuvre and parametric resonance. Computers and Methods of Applied Mechanical Engineering 120, 65-118.
26. Vu-Quoc, L. and Mora, J. (1989). A class of simple and efficient degenerated shell elements - analysis of global spurious-mode filtering. Computers and Methods of Applied Mechanical Engineering 74, 117-175.
27. Yu, Y. Y. (1959). A new theory of sandwich plates - general case. Technical report contract AF49(638)-455, Air Force Office of Scientific Research.