A co-rotational 8-node resultant shell element for progressive nonlinear dynamic failure analysis of laminated composite structures

Mechanics of Advanced Materials and Structures

Volumn 14, Issue 2, 2007, Pages 89-105

  Lomboy, G R ^a   Kim, K D ^b   Oñate, Eugenio ^c  

^a ASIAN INSTITUTE OF TECHNOLOGY   (Thailand)

^b Konkuk University   (South Korea)

^c INTERNATIONAL CENTER FOR NUMERICAL METHODS IN ENGINEERING CIMNE   (Spain)

Author keywords

Composite structure; Nonlinear dynamic; Progressive failure; Shell element

Indexed keywords

BENDING MOMENTS; COMPUTATIONAL METHODS; LAMINATED COMPOSITES; SHELLS (STRUCTURES); STRAIN MEASUREMENT; STRESSES;

COMPOSITE PLATES; GEOMETRIC STIFFNESS; PROGRESSIVE FAILURE; SHELL ELEMENTS;

FAILURE ANALYSIS;

EID: 33847223446     PISSN: 15376494     EISSN: 15376532     Source Type: Journal    
DOI: 10.1080/15376490600675299     Document Type: Article

References (37)

1. Ahmad, S., Irons, B. M., and Zienkiewicz, O. C., "Analysis of thick and thin shell structures by curved finite elements," Int. J. Numer. Meth. Engng. 2, 419-451 (1970).
2. Gruttmann, F., Wagner, W., Meyer, L., and Wriggers, P., "A nonlinear composite shell element with continuous interlaminar stresses," Comp. Mech. 13, 175-188 (1993).
3. Lee, S. J., and Kanok-Nukulchai, W., "A nine-node assumed strain finite element for large deformation analysis of laminated shells," Int. J. Numer. Meth. Engng. 42, 777-798 (1998).
4. Kim, K. D., and Park, T. H., "An 8-node assumed strain element with explicit integration for Isotropic and laminated composite shells," Structural Engineering and Mechanics 13(4), 387-410 (2002).
5. Kim, K. D., Lomboy, G. R., and Han, S. C., "A co-rotational 8-node assumed strain shell element for postbuckling analysis of laminated composite plates and shells," Computational Meclianics 30, 330-342 (2003).
6. Reddy, J. N., and Liu, C. F., "A higher order theory for geometrically non-linear analysis of composite laminate," NASA Report CR 4056 (1987).
7. Ochoa, O. O., and Engblom, J. J., "Analysis of progressive failure in composites," Composites Science and Technology 28, 87-102 (1987).
8. Toison, S., and Zabaras, N., "Finite element analysis of progressive failure in laminated composite plates," Comp and Struct 38(3), 361-376 (1991).
9. Engelstad, S. P., Reddy, J. N., and Knight Jr., N. F., "Postbuckling response and failure prediction of graphite-epoxy plates loaded in compression," AIAA Journal 30(8), 2106-2113 (1992).
10. Moas, E., and Griffin Jr., O. H., "Progressive failure analysis of laminated composite structures," in 38th AIAA/ASME/ASCE/AHS Structures, Structural Dynamics and Materials Conference, AIAA-97-1186-CP, 2246-2256 (1997).
11. Sleight, D. W., Knight, N. F., and Wang, J. T., "Evaluation of a progressive failure analysis methodology for laminated composite structures," AIAA paper No. 97-1187, 2257-2272 (1997).
12. Gummadi, L. N. B., and Palazotto, A. N., "Progressive failure analysis of composite cylindrical shells considering large rotations," Composites Part B, 29B, 547-563 (1998).
13. Spottswood, S. M., and Palazotto, A. N., "Progressive failure analysis of a composite shell," Composite Structures 53, 117-131 (2001).
14. Knight Jr., N. F., Rankinb, C. C., and Broganb, F. A., "STAGS computational procedure for progressive failure analysis of laminated composite structures," International Journal of Non-Linear Mechanics 37, 833-849 (2002).
15. Reddy, J.N., "Geometrically non-linear transient analysis of laminated composite plates," AIAA Journal 21(21), 621-629 (1983).
16. Reddy, J. N., and Chandrashekhara, K., "Geometrically nonlinear transient analysis of laminated doubly curved shells," Int. J. Nonlin. Mech. 20, 79-90 (1985).
17. Wu, Y. C., and Yang, T. Y., "Free and forced nonlinear dynamics of composite shell strucutres," J. Compos. Mater. 21, 898-910 (1987).
18. Kant, T., and Mallikarjuna, "Nonlinear dynamics of laminated plates with a higher order theory and CO finite elements," Int. J. Nonlin Mech. 26, 335-343 (1981).
19. Wiggenraand, J. F. M., Zhang, X., and Davies, G. A. O., "Impact damage prediction and failure analysis of heavily loaded, blade-stiffened composite wing panels," Composite Structures 45, 81-103 (1999).
20. Geubelle, P. H., and Baylor, J. S., "Impact induced delamination of composites: A 2-D simulation," Composites Part B 29B, 589-602 (1998).
21. Rolfes, R., and Rohwer, K., "Improved transverse shear stress in composite finite element based on first order shear deformation theory," Int. J. Numer. Meth. Engng. 40, 51-60 (1997).
22. Bates, D. N., The Mechanics of Thin Walled Structures with Special Reference to Finite Rotations, Ph.D. Thesis, Dept. of Civil Engineering, Imperial College, London, 1987.
23. Argyris, L., "An excursion to large rotations," Comp. Meth. in Appl. Mech. Engng. 32, 85-155 (1982).
24. Kebari, H., and Cassel, A. C., "A stabilized 9-node non-linear shell element," Int. J. Numer. Meth. Engng. 35, 37-61 (1992).
25. Kim, K. D., Park, T., and Voyiadjis, G. Z., "Postbuckling analysis of composite panels with imperfection damage," Computational Mechanics 22, 375-387 (1998).
26. Novozhilov, V. V., Foundation of Non-Linear Theory of Elasticity, Graylock Press, Rochester, N.Y., 1963.
27. Hilber, H. M., Hughes, T. J. R., and Taylor, R. L., "Improved numerical dissipation for time integration algorithms in structural dynamics," Earthquake Engineering and Structural Dynamics 5, 283-292 (1997).
28. Reddy, J. N., Mechanics of Laminated Composite Plates and Shells: Theory and Analysis, 2nd ed., 567-670, CRC Press, Boca Raton, 2004.
29. Reddy, Y. S. N., Moorthy, C. M. D., and Reddy, J. N., "Non-linear progressive failure analysis of laminated composite plates," Int. J. Non-linear Mech. 30, 629-649 (1995).
30. XFINAS 2.0, Asian Institute of Technology, Thailand & Konkuk University, Korea, http://www.xfinas.com/, (2005).
31. GID 7.1, Pre-postprocessor Software, International Center for Numerical Methods in Engineering. Barcelona, Spain, http://gid.cimne.upc.es/. (2002).
32. Basar, Y., Ding, Y., and Schultz, R., "Refined shear deformation models for composite laminates with finite rotations," Int. J. Solids Structures 19, 2611-2638 (1993).
33. Braun, M., Bischoff, M., and Ramm, E., "Nonlinear shell formulations for complete three-dimensional constitutive laws including composites and laminates," Comp. Mech. 15, 1-18 (1994).
34. Zhang, Y., and Mathews, F. L., "Large deflection behavior of simply supported laminated panels under in-plane loading," J. of Applied Mech. 52, 553-558 (1985).
35. Starnes, J. H., and Rouse, M., "Postbuckling and failure characteristics of selected flat rectangular graphite-epoxy plates loaded in compression," AIAA Paper No. 81-0543 (1981).
36. Tsai, S. W., "Strength theories in filament structures," in R. T. Schwartz and H. S. Schwartz (eds.), Fundamental Aspects of Fiber Reinforced Plastic Composites, chap. 1, Wiley Interscience, N.Y., 1968.
37. Hill, R., The Mathematical Theory of Plasticity, Oxford University Press, Oxford, 1950.