Numerically efficient finite element formulation for modeling active composite laminates

Mechanics of Advanced Materials and Structures

Volumn 13, Issue 5, 2006, Pages 379-392

  Marinković, Dragan ^a   Köppe, Heinz ^a   Gabbert, Ulrich ^a  

^a OTTO VON GUERICKE UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ACTUATORS; COMPUTER ARCHITECTURE; COMPUTER SIMULATION; INTELLIGENT STRUCTURES; MATHEMATICAL MODELS; NUMERICAL METHODS; PIEZOELECTRIC MATERIALS; SENSORS;

ACTIVE SYSTEMS; CONVENTIONAL PASSIVE SYSTEMS; DEGENERATE SHELL ELEMENT; FINITE ELEMENT TOOL;

FINITE ELEMENT METHOD;

EID: 33746655382     PISSN: 15376494     EISSN: 15376532     Source Type: Journal    
DOI: 10.1080/15376490600777624     Document Type: Article

References (31)

1. Gabbert, U., and Tzou, H. S. (Eds.), Smart Structures and Structronic Systems, Kluwer Academic Publishers, Dordrecht, Boston, Amsterdam (2000).
2. Watanabe, K., and Ziegler, F. (Eds.), Dynamics of Advanced Materials and Smart Structures. Kluwer Academic Publishers, Dordrecht, Boston, London (2003).
3. Allik, H., and Hughes, T. J. R., "Finite element method for piezoelectric vibration," IJNME 2, 151-157 (1970).
4. Benjeddou, A., "Advances in piezoelectric finite element modeling of adaptive structural elements: A survey," Computers and Structures 76, 347-363 (2000).
5. Piefort, V., Finite Element Modeling of Piezoelectric Active Structures, Dissertation, Université Libre de Bruxelles (2001).
6. Tzou, H. S., and Ye, R., "Analysis of piezoelectric structures with laminated piezoelectric triangle shell elements," AIAA Journal 34, 110-115 (1996).
7. Gabbert, U., Köppe, H., Seeger, F., and Berger, H., "Modeling of smart composite shell structures." Journal of Theoretical and Applied Mechanics 40(3), 575-593 (2002).
8. Irons, B. M., 'The semiloof shell element." in Ashwell, D. G. and Gallagher, R. H. (Eds.), Finite Elements for Thin Shells and. Curved Membranes, chapter 11, 197-222, Wiley, New York (1976).
9. Lammering, R., "The application of a finite shell element for composites containing piezo-electric polymers in vibration control," Computers and Structures 41, 1101-1109 (1991).
10. Kögl, M., and Bucalem, M. L., "Locking-free piezoelectric MITC shell elements," Proceedings of the 2nd MIT Conference on Computational Fluid and Solid Mechanics, 392-395, Amsterdam (2003).
11. Mesecke-Rischmann, S., Modellierung von flachen piezoelektrischen Schalen mit zuverlässigen flniten Elementen, Dissertation, HelmutSchmidt- Universität/ Universität der Bundeswehr Hamburg (2004).
12. Rohwer, K., "Application of higher order theories to the bending analysis of layered composite plates," IJSS 29, 105-119 (1992).
13. Cheung, Y. K., and Shenglin, Di. "Analysis of laminated composite plates by hybrid stress isoparametric element," IJSS 30, 2843-2857 (1993).
14. Carrera, E., "An improved Reissner-Mindlin-type model for the electromechanical analysis of multilayered plates including piezo-layers," JIMSS 8, 232-248 (1997).
15. Zemčík, R., Rolfes, R., Rose, M., and Teßmer, J., "High performance 4node shell element with piezoelectric coupling," Proceedings of II Eccomas Thematic Conference on Smart Structures and Materials, C.A. Mota Scares et al. (Eds.), Lisbon (2005).
16. Ahmad, S., Irons, B. M., and Zienkiewicz, O. C., "Analysis of thick and thin shell structures by curved finite elements," IJNME 2, 419-451 (1970).
17. Reddy, J. N., An Introduction to the Finite Element Method, McGraw-Hill, New York (1993).
18. Ikeda, T., Fundamentals of Piezoelectricity, Oxford University Press Inc., New York (1996).
19. Marinković, D., Köppe, H., and Gabbert, U., "Accurate modeling of the electric field within piezoelectric layers for active composite structures," JIMSS (submitted).
20. Zienkiewicz, O. C., and Taylor, R. L., The Finite Element Method-Volume 2: Solid and Fluid Mechanics, Dynamics and Non-Linearity, McGraw-Hill, London (1991).
21. Krishnamoorthy, C. S., Finite Element Analysis: Theory and Programming, McGraw Hill, New Delhi (1995).
22. Marinković, D., Köppe, H., and Gabbert, U., "Finite element development for generally shaped piezoelectric active laminates: Part I-Linear approach," Journal Facta Universitatis, series: Mechanical Engineering 2, (1), 11-24 (2004).
23. Prathap, G., The Finite Element Method in Structural Mechanics, Kluwer Academic Publishers, Netherlands (1993).
24. Zienkiewicz, O. C., Taylor, B. M., and Too, J. M., "Reduced integration technique in general analysis of plates and shells," UNME 3, 275-290 (1971).
25. Seeger, F., Optimal Design of Adaptive Shell Structures (in German), University of Magdeburg, 2003, Foitschr.-Ber. VDI Reihe 20 Nr. 383, Düsseldorf: VDI Verlag (2004).
26. Seeger, F., Gabbert, U., Koppe, H., and Fuchs, K., "Analysis and design of thin-walled smart structures in industrial applications," in McGowan, A.-M. R. (Ed.), Smart Structures and Materials 2002: Industrial and Commercial Applications of Smart Structures Technologies, SPIE Proceedings Series, 4698, 342-350 (2002).
27. Seeger, F., Koppe, H., and Gabbert, U., "Comparison of different shell elements for the analysis of smart structures," ZAMM 81(4), 887-888 (2001).
28. Kioua, H., and Mirza, S., "Piezoelectric induced bending and twisting of laminated composite shallow shells," Smart Materials and Structures 9, 476-484 (2000).
29. Lee, S., Cho, B. C., Park. H. C., Goo, N. S., and Yoon, K. J., "Piezoelectric actuator-sensor analysis using a three-dimensional assumed strain solid element," JIMSS 15, 329-338 (2004).
30. Lim, S. M., Lee, S., Park. H. C., Yoon, K. J., and Goo, N. S., "Design and demonstration of a biomimetic wing section using a lightweight piezocomposite actuator (LIPCA)," Smart Materials and Stiuctuies 14, 496-503 (2005).
31. Belytschko, T., Liu, W. K., and Kennedy, J. M., "Hourglass control in linear and nonlinear problems," Computer Methods in Applied Mechanics and Engineering 43, 251-276 (1986).