Geometrically exact four-node piezoelectric solid-shell element

Mechanics of Advanced Materials and Structures

Volumn 15, Issue 3-4, 2008, Pages 199-207

  Kulikov, G M ^a   Plotnikova, S V ^a  

^a TAMBOV STATE TECHNICAL UNIVERSITY   (Russian Federation)

Author keywords

Assumed stress strain piezoelectric shell element; Geometrically exact four node solid shell element; Laminated shell; Mechanical finite element formulation

Indexed keywords

DEGREES OF FREEDOM (MECHANICS); EIGENVALUES AND EIGENFUNCTIONS; FINITE ELEMENT METHOD; STRESS-STRAIN CURVES;

LAMINATED SHELL; MECHANICAL FINITE ELEMENT FORMULATION; STRESS-STRAIN PIEZOELECTRIC SHELL ELEMENT;

PIEZOELECTRIC MATERIALS;

EID: 42149156594     PISSN: 15376494     EISSN: 15376532     Source Type: Journal    
DOI: 10.1080/15376490801907673     Document Type: Conference Paper

References (19)

1. Benjeddou, A., "Advances in piezoelectric finite element modeling of adaptive structural elements: A survey," Comput. Struct. 76, 347-363 (2000).
2. Sze, K. Y., "Three-Dimensional continuum finite element models for plate/shell analysis," Prog. Struct. Eng. Mater: 4, 400-407 (2002).
3. Sze, K. Y., Yao, L. Q., and Yi, S., "A hybrid stress ANS solid-shell element and its generalization for smart structure modeling. Part II - Smart structure modeling," Int. J. Numer. Meth. Eng. 48, 565-582 (2000).
4. Lee, S., Goo, N. S., Park, H. C., Yoon K. J., and Cho, C., "A nine-node assumed strain shell element for analysis of a coupled electro-mechanical system," Smart Mater. Struct. 12, 355-362 (2003).
5. Zheng, S., Wang, X., and Chen, W., "The formulation of a refined hybrid enhanced assumed strain solid shell element and its application to model smart structures containing distributed piezoelectric sensors/actuators," Smart Mater. Struct. 13, N43-N50 (2004).
6. Kulikov, G. M., and Plotnikova, S.V., "Simple and effective elements based upon Timoshenko-Mindlin Shell Theory," Comput. Meth. Appl. Mech. Eng. 191, 1173-1187 (2002).
7. Kulikov G. M., and Plotnikova, S. V., "Equivalent single-layer and layerwise shell theories and rigid-body motions - Part I: Foundations, Part II: Computational aspects," Mech. Advanced Mater: Struct. 12, 275-283, 331-340 (2005).
8. Kulikov, G. M., and Plotnikova, S. V., "Geometrically exact assumed stress-strain multilayered solid-shell elements based on the 3D analytical integration," Comput. Struct. 84, 1275-1287 (2006).
9. Wempner, G., Talaslidis, D., and Hwang, C. M., "A simple and efficient approximation of shells via finite quadrilateral elements," J. Appl. Mech. 49, 115-120 (1982).
10. Pian, T. H. H., "Finite elements based on consistently assumed stresses and displacements," Finite Elements Anal. Des., 1, 131-140 (1985).
11. Buchter, N., Ramm E., and Roehl, D., "Three-dimensional extension of nonlinear shell formulation based on the enhanced assumed strain concept," Int. J. Numer: Meth. Eng. 37, 2551-2568 (1994).
12. Lee, S., Cho, B. C., Park, H. C., Yoon, K. J., and Goo, N. S., "Analysis of multilayered actuators using an assumed strain solid element," Mater: Chem. Phys. 75, 174-177 (2002).
13. Ausserer, M. F., and Lee, S. W., "An eighteen-node solid element for thin shell analysis," Int. J. Numer. Meth. Eng. 26, 1345-1364 (1988).
14. Cady, W. G., Piezoelectricity: an Introduction to the Theory and Applications of Electromechanical Phenomena in Crystals, Dover, New York (1964).
15. Tzou, H. S., Piezoelectric Shells: Distributed Sensing and Control of Continua, Kluwer-Academic, Dordrecht (1993).
16. Washizu, K., Variational Methods in Elasticity and Plasticity, 3rd ed., Pergamon Press, Oxford (1982).
17. Kulikov, G. M., and Plotnikova, S. V., "Non-linear strain-displacement equations exactly representing large rigid-body motions. Part I. Timoshenko-Mindlin shell theory," Comput. Meth. Appl. Mech. Eng. 192, 851-875 (2003).
18. Sze, K. Y., and Yao, L. Q., "Modelling smart structures with segmented piezoelectric sensors and actuators," J. Sound Vib. 235, 495-520 (2000).
19. Kioua, H., and Mirza, S., "Piezoelectric induced bending and twisting of laminated composite shallow shells," Smart Mater. Struct. 9, 476-484 (2000).