Modelling of piezolaminated plates using layerwise mixed finite elements

Computers and Structures

Volumn 82, Issue 23-26, 2004, Pages 1849-1863

  Lage, R Garcia ^a   Soares, C M Mota ^a   Soares, C A Mota ^a   Reddy, J N ^b  

^a INSTITUTO SUPERIOR TÉCNICO   (Portugal)

^b Texas AandM University   (United States)

Author keywords

Layerwise mixed finite elements; Piezolaminated plates

Indexed keywords

ACTUATORS; BOUNDARY CONDITIONS; COMPUTATIONAL METHODS; DEGREES OF FREEDOM (MECHANICS); ELECTRIC POTENTIAL; FINITE ELEMENT METHOD; OPTIMIZATION; STRESS ANALYSIS;

ELECTRICAL DISPLACEMENT; LAYERWISE MIXED FINITE ELEMENTS; PIEZOLAMINATED PLATES; TRANSVERSE STRESSES;

PIEZOELECTRIC DEVICES;

EID: 4944253468     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruc.2004.03.068     Document Type: Conference Paper

References (26)

1. Allik H, Hughes TJR. Finite element method for piezo-electric vibration. Int J Numer Methods Eng 1970;2:151-7.
2. Tzou HS, Tseng CI. Distributed piezoelectric sensor/actuator design for dynamic measurement/control of distributed systems: a piezoelectric finite element approach. J. Sound Vibr. 1990;138:17-34.
3. Reddy JN. A generalization of two-dimensional theories of laminated composite plates. Commun Appl Numer Methods 1987;3:173-80.
4. Robbins Jr DH, Reddy JN. Modeling of thick composites using a layerwise laminate theory. Int J Numer Methods Eng 1993;36:655-77.
5. Reddy JN, Robbins Jr DH. Structural theories and computational models for composite laminates. Appl Mech Rev 1994;47(6):147-70 Part I.
6. Robbins Jr DH, Reddy JN. Variable kinematic modeling of laminated composite plates. Int J Numer Methods Eng 1996;39:2283-317.
7. Robbins DH, Reddy JN. Analysis of piezoelectrically actuated beams using a layerwise displacement theory. Comput Struct 1991;41:265-79.
8. Ha SK, Keilers C, Chang F. Finite element analysis of composite structures containing distributed piezoceramic sensors and actuators. AIAA J 1992;30:772-80.
9. Mitchell JA, Reddy JN. A refined hybrid plate theory for composite laminates with piezoelectric laminae. Int J Solids Struct 1995;32:2345-67.
10. Reddy JN. A simple higher-order theory for laminated composite plates. J Appl Mech 1984;51:745-52.
11. Loja MAR, Barbosa JI, Soares CMM, Soares CAM. Analysis of piezolaminated plates by the spline finite strip method. Comput Struct 2001;79:2321-33.
12. Loja MAR, Soares CMM, Soares CAM. Modelling and design of adaptive structures using B-spline strip models. Compos Struct 2001;57:245-51.
13. Soares CMM, Soares CAM, Correia VMF, Loja MAR. Higher-order B-spline strip models for laminated composite structures with integrated sensors and actuators. Compos Struct 2001;54:267-74.
14. Correia VMF, Soares CMM, Soares CAM. Refined models for the optimal design of adaptive structures using simulated annealing. Compos Struct 2001;54:161-7.
15. Loja MAR, Mota Soares CM, Mota Soares CA. Modelling and design of adaptive structures using B-spline strip models. Compos Struct 2002;57:245-51.
16. Heyliger P, Saravanos DA. Exact free-vibration analysis of laminated plates with embedded piezoelectric layers. J Acoust Soc Am 1995;98:1547-57.
17. Heyliger P, Brooks S. Exact solutions for laminated piezoelectric plates in cylindrical bending. J Appl Mech 1996;63:903-10.
18. Heyliger P. Exact solutions for simply supported laminated piezoelectric plates. J Appl Mech 1997;64:299-306.
19. Reddy JN. Mechanics of laminated composite plates - theory and analysis. Boca Raton, USA: CRC Press; 1996.
20. Saravanos DA, Heyliger PR, Hopkins DA. Layerwise mechanics and finite element for the dynamic analysis of composite plates. Int J Solids Struct 1997;34:359-78.
21. Mota Soares CM, Garção JE, Reddy JN. "Modelling of layerwise piezolaminated structures" smart structures and integrated systems. In: Porter Davies L, editor. SPIE, The International Society of Optical Engineering, vol. 4701, 2002, Paper no. 17.
22. Semedo Garção JE, Mota Soares CM, Mota Soares CA, Reddy JN. Modelling of adaptive structures using layerwise models. In: Topping BHV, Bittnar Z, editors. Proceedings of the Sixth International Conference on Computational Structures Technology. Stirling, Scotland: Civil-Comp Press; 2002. p. 1-18 Paper 127.
23. Carrera E. Evaluation of layerwise mixed theories for laminated plates analysis. AIAA J 1998;36:830-9.
24. Carrera E. Developments, ideas and evaluations based upon Reissner's mixed variational theorem in the modelling of multilayered plates and shells. Appl Mech Rev 2001;54:301-29.
25. Reissner E. On a certain mixed variational theory and proposed applications. Int J Numer Methods Eng 1984;20:1366-8.
26. Malvern LE. Introduction to the mechanics of a continuous medium, Prentice-Hall series in engineering of the physical sciences. New Jersey, USA: Prentice-Hall; 1969.