Quadrilateral finite elements for multilayer sandwich plates

Journal of Strain Analysis for Engineering Design

Volumn 38, Issue 5, 2003, Pages 377-394

  Nayak, A K ^a   Moy, S S J ^a   Shenoi, R A ^a  

^a UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

Author keywords

Finite element analysis; FRP laminates; Orthotropic plates; Sandwich structures

Indexed keywords

FINITE ELEMENT METHOD; MULTILAYERS; SANDWICH STRUCTURES; STRAIN;

SANDWICH PLATES;

PLATES (STRUCTURAL COMPONENTS);

EID: 0141998614     PISSN: 03093247     EISSN: None     Source Type: Journal    
DOI: 10.1243/03093240360713441     Document Type: Article

References (38)

1. Bose, P. and Reddy, J. N. Analysis of composite plates using various plate theories. Part 1 - formulation and analytical solutions. Struct. Engng and Mechanics, 1998, 6(6), 583-612.
2. Bose, P. and Reddy, J. N. Analysis of composite plates using various plate theories. Part 2 - finite element model and numerical results. Struct. Engng and Mechanics, 1998, 6(7), 727-746.
3. Vlachoutsis, S. Shear correction factors for plates and shells. Int. J. Numer. Meth. Engng, 1992, 33(7), 1537-1552.
4. Reddy, J. N. A simple higher-order theory for laminated composite plates. Trans. ASME, J. Appl. Mechanics, 1984, 51(4), 745-752.
5. Rohwer, K. Application of higher-order theories to the bending analysis of layered composite plates. Int. J. Solids Structs, 1992, 29(1), 105-119.
6. Barut, A., Madenci, E., Heinrich, J. and Tessler, A. Analysis of thick sandwich construction by a {3-2} order theory. Int. J. Solids Structs, 2001, 38, 6063-6077.
7. Noor, A. K., Burton, W. S. and Bert, C. W. Computational models for sandwich panels and shells. Trans. ASME, Appl. Mechanics Rev., 1996, 49(3), 155-199.
8. Plantema, F. J. Sandwich Construction: The Bending and Buckling of Sandwich Beams, Plates and Shells, 1966 (John Wiley, New York).
9. Allen, H. G. Analysis and Design of Structural Sandwich Panels, 1969 (Pergamon Press, Oxford).
10. Zenkert, D. An Introduction to Sandwich Construction, 1995 (EMAS Publications, West Midlands).
11. Vinson, J. R. The Behaviour of Sandwich Structures of Isotropic and Composite Materials, 1999 (Technomic, USA).
12. Meunier, M. and Shenoi, R. A. Free vibration analysis of composite sandwich plates. Proc. Instn Mech. Engrs, Part C: J. Mechanical Engineering Science, 1999, 213(C7), 715-727.
13. Meunier, M. and Shenoi, R. A. Dynamic analysis of composite sandwich plates with damping modelled using high-order shear deformation theory. Composite Structs, 2001, 54, 243-254.
14. Liaw, B. D. and Little, R. W. Theory of bending multilayer sandwich plates. Am. Inst. Aeronaut. Astronaut. J., 1967, 5(2), 301-304.
15. Azar, J. J. Bending theory for multilayer orthotropic sandwich plates. Am. Inst. Aeronaut. Astronaut. J., 1968, 6(11), 2166-2169.
16. Kanematsu, H. H., Hirano, Y. and Iyama, H. Bending and vibration of CFRP-faced rectangular sandwich plates. Composite Structs, 1988, 10, 145-163.
17. Pagano, N. J. Exact solutions for rectangular bidirectional composites and sandwich plates, J. Composite Mater., 1970, 4, 20-34.
18. Srinivas, S. and Rao, A. K. Bending, vibration and buckling of simply supported thick orthotropic rectangular plates and laminates. Int. J. Solids Structs, 1970, 6, 1463-1481.
19. Yang, H. T. Y., Saigal, S., Masud, A. and Kapania, R. K. A survey of recent shell finite elements. Int. J. Numer. Meth. Engng, 2000, 47(1-3), 101-127.
20. Khatua, T. P. and Cheung, Y. K. Triangular element for multi-layer sandwich plates. J. Engng Mechanics, ASCE, 1972, 98, 1225-1238.
21. Khatua, T. P. and Cheung, Y. K. Bending and vibration of multi-layer sandwich beams and plates. Int. J. Numer. Meth. Engng, 1973, 6, 11-24.
22. Nayak, A. K., Moy, S. S. J. and Shenoi, R. A. Damping prediction of sandwich plates using the finite element method. In 2nd International Conference on Theoretical, Applied, Computational and Experimental Mechanics (ICTACEM 2001), IIT Kharagpur, India, 2001, paper 104, pp.1-12.
23. Mawenya, A. S. and Davies, J. D. Finite element bending analysis of multi-layer plates. Int. J. Numer. Meth. Engng, 1974, 8, 215-225.
24. Bathe, K. J. and Dvorkin, E. N. A four-node plate bending element based on Mindlin/Reissner plate theory and a mixed interpolation. Int. J. Numer. Meth. Engng, 1985, 21, 367-383.
25. Huang, H. C. and Hinton, E. A nine node Lagrangian Mindlin plate element with enhanced shear interpolation. Engng Computations, 1984, 1, 369-379.
26. Simo, J. C. and Hughes, T. J. R. On the variational foundations of assumed strain methods. Trans. ASME, J. Appl. Mechanics, 1986, 53, 51-54.
27. Hinton, E. and Huang, H. C. A family of quadrilateral Mindlin plate elements with substitute shear strain fields. Computers and Structs, 1986, 23(3), 409-431.
28. Owen, D. R. J. and Li, Z. H. A refined analysis of laminated plates by finite element displacement methods. I. Fundamentals and static analysis. Computers and Structs, 1987, 26(6), 907-914.
29. Reddy, J. N. and Robbins Jr, D. H. Theories and computational models for composite laminates. Trans. ASME, Appl. Mechanics Rev., 1994, 47(6), 147-169.
30. Di Sciuva, M. An improved shear deformation theory for moderately thick multilayered anisotropic shells and plates. Trans. ASME, J. Appl. Mechanics, 1987, 54, 589-596.
31. Icardi, U. Eight-noded zig-zag element for deflection and stress analysis of plates with general lay-up. Composites Part B: Engng, 1998, 29(4), 425-441.
32. Ren, J. G. and Hinton, E. The finite element analysis of homogeneous and laminated composite plates using a simple higher-order theory. Communs in Appl. Numer. Meth., 1986, 2(2), 217-228.
33. Averill, R. C. and Reddy, J. N. An assessment of four noded plate finite elements based on a generalized third order theory. Int. J. Numer. Meth. Engng, 1992, 33, 1553-1572.
34. Nayak, A. K., Moy, S. S. J. and Shenoi, R. A. Free vibration analysis of composite sandwich plates based on Reddy's higher order theory. Composites Part B: Engng, 2002, 33, 505-519.
35. Nayak, A. K., Shenoi, R. A. and Moy, S. S. J. Damping prediction of composite sandwich plates using assumed strain plate bending elements based on Reddy's higher-order theory. In 43rd AIAA/ASME/ASCE/AHS Conference on Structures, Structural Dynamics and Materials, Denver, Colorado, April 2002, paper 1243, pp. 1-11.
36. Nayak, A. K., Shenoi, R. A. and Moy, S. S. J. Analysis of damped composite sandwich plates using plate bending elements with substitute shear strain fields based on Reddy's higher-order theory. Proc. Instn Mech. Engrs, Part C: J. Mechanical Engineering Science, 2002, 216(C5), 591-606.
37. Cawley, P. and Adams, R. D. The predicted and experimental natural modes of free-free CFRP plates. J. Composite Mater., 1978, 12, 336-347.
38. Lee, F. J. and Fan, Y. J. Bending and vibration analysis of composite sandwich plates. Computers and Structs, 1996, 60(1), 103-112.