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TECHNICAL PAPERS

An Electric Node Concept for Solid-Shell Elements for Laminate Composite Piezoelectric Structures

[+] Author and Article Information
Lin-Quan Yao

School of Mathematics Science, Suzhou University, Suzhou 215006, P. R. ChinaSingapore-MIT Alliance, Advanced Materials for Micro- and Nano-Systems Program, 4 Engineering Drive 3, Singapore 117576, Singapore  

Li Lu

Singapore-MIT Alliance, Advanced Materials for Micro- and Nano-Systems Program, 4 Engineering Drive 3, Singapore 117576, SingaporeDepartment of Mechanical Engineering, National University of Singapore, 9 Engineering Drive 1, Singapore 117576, Singapore

J. Appl. Mech 72(1), 35-43 (Feb 01, 2005) (9 pages) doi:10.1115/1.1827249 History: Received July 01, 2003; Revised March 15, 2004; Online February 01, 2005
Copyright © 2005 by ASME
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References

Chandrashekhara,  K., and Agarwal,  A. N., 1993, “Active Vibration Control of Laminated Composite Plates Using Piezoelectric Devices: A Finite Element Approach,” J. Intell. Mater. Syst. Struct., 4, pp. 496–508.
Detwiler,  D. T., Shen,  M. H., and Venkayya,  V. B., 1995, “Finite Element Analysis of Laminated Composite Structures Containing Distributed Piezoelectric Actuators and Sensors,” Finite Elem. Anal. Design, 20, pp. 87–100.
Saravanos,  D. A., Heyliger,  P. R., and Hopkins,  D. A., 1997, “Layerwise Mechanics and Finite Element for the Dynamic Analysis of Piezoelectric Composite Plates,” Int. J. Solids Struct., 34, pp. 359–378.
Hwang,  W. S., and Park,  H. C., 1993, “Finite Element Modelling of Piezoelectric Sensors and Actuators,” AIAA J., 31, pp. 930–937.
Sze,  K. Y., and Yao,  L. Q., 2000, “Modeling Smart Structures With Segmented Piezoelectric Sensors and Actuators,” J. Sound Vib., 235, pp. 495–520.
Sze,  K. Y., Yao,  L. Q., and Yi,  S., 2000, “A Hybrid-Stress ANS Solid-Shell Element and Its Generalization for Smart Structure Modeling—Part II: Smart Structure Modeling,” Int. J. Numer. Methods Eng., 48, pp. 565–582.
Ha,  S. K., Keilers,  C., and Chang,  F. K., 1992, “Finite Element Analysis of Composite Structures Containing Distributed Piezoelectric Sensors and Actuators,” AIAA J., 30, pp. 772–780.
Kim,  J., Varadan,  V. V., and Varadan,  V. K., 1997, “Finite Element Modelling of Structures Including Piezoelectric Active Devices,” Int. J. Numer. Methods Eng., 40, pp. 817–832.
Tzou,  H. S., and Ye,  R., 1996, “Analysis of Piezoelectric Structures With Laminated Piezoelectric Triangle Shell Elements,” AIAA J., 34, pp. 110–115.
Tzou,  H. S., Tseng,  C. I., and Bahrami,  H., 1994, “A Thin Piezoelectric Hexahedron Finite Element Applied to Design of Smart Continua,” Finite Elem. Anal. Design, 16, pp. 27–42.
Rao,  S. S., and Sunar,  M., 1993, “Analysis of Distributed Thermopizoelectric Sensors and Actuators in Advanced Intelligent Structures,” Am. Inst. Aeronautics Astron. J.,31, pp. 1280–1286.
Heyliger,  P. R., and Saravanos,  D. A., 1995, “Exact Free-Vibration Analysis of Laminated Plates With Embedded Piezoelectric Layers,” J. Acoust. Soc. Am., 98, pp. 1547–1557.
Lee,  H. J., and Saravanos,  D. A., 1997, “Generalized Finite Element Formulation for Smart Multilayered Thermal Piezoelectric Composite Plates,” Int. J. Solids Struct., 34, pp. 3355–3371.
Saravanos,  D. A., and Heyliger,  P. R., 1994, “Coupled Layerwise Analysis of Composite Beams With Embedded Piezoelectric Sensors and Actuators,” J. Intell. Mater. Syst. Struct., 6, pp. 350–363.
Heyliger,  P. R., Ramirez,  G., and Saravanos,  D. A., 1994, “Coupled Discrete-Layer Finite Elements for Laminated Piezoelectric Plates,” Commun. Numer. Methods Eng., 10, pp. 971–981.
Reddy,  J. N., 1999, “On Laminated Composite Plates With Integrated Sensors and Actuators,” Eng. Struct., 21, pp. 568–593.
Lammering,  R., 1991, “The Application of a Finite Shell Element for Composites Containing Piezoelectric Polymers in Vibration Control,” Comput. Struct., 41, pp. 1101–1109.
Wang,  Z. D., Chen,  S. H., and Han,  W. Z., 1997, “The Static Shape Control for Intelligent Structures,” Finite Elem. Anal. Design, 26, pp. 303–314.
Lee,  C. K., 1990, “Theory of Laminated Piezoelectric Plates for the Design of Distributed Sensors/Actuators. Part I: Governing Equations and Reciprocal Relationships,” J. Appl. Mech., 57, pp. 434–441.
Sze,  K. Y., and Yao,  L. Q., 2000, “A Hybrid-Stress ANS Solid-Shell Element and its Generalization for Smart Structure Modeling. Part I: Solid-Shell Element Formulation,” Int. J. Numer. Methods Eng., 48, pp. 545–564.
Park,  K. C., and Stanley,  G. M., 1986, “A Curved C0 Shell Element Based on Assumed Natural Coordinate Strains,” J. Appl. Mech., 53, pp. 278–290.
Hauptmann,  R., and Schweizerhof,  K., 1988, “A Systematic Development of Solid-Shell Element Formulations for Linear and Nonlinear Analysis Employing Only Displacement Degrees of Freedom,” Int. J. Numer. Methods Eng., 42, pp. 49–69.
Sze,  K. Y., and Zhu,  D., 1999, “A Quadratic Assumed Natural Strain Curved Triangular Shell Element,” Comput. Methods Appl. Mech. Eng., 174, pp. 57–71.
Sze,  K. Y., Yi,  S., and Tay,  M. H., 1997, “An Explicit Hybrid-Stabilized Eighteen-Node Solid Element for Thin Shell Analysis,” Int. J. Numer. Methods Eng., 40, pp. 1839–1856.
Sze,  K. Y., and Pan,  Y. S., 1999, “Hybrid Finite Element Models for Piezoelectric Materials,” J. Sound Vib., 26, pp. 519–547.
Pian,  T. H. H., 1985, “Finite Elements Based on Consistently Assumed Stresses and Displacements,” Finite Elem. Anal. Design, 1, pp. 131–140.
Sze,  K. Y., 1992, “Efficient Formulation of Robust Hybrid Elements Using Orthogonal Stress/Strain Interpolants and Admissible Matrix Formulation,” Int. J. Numer. Methods Eng., 35, pp. 1–20.
Crawly,  J. L., and Lazarus,  K. B., 1991, “Induced Strain Actuation of Isotropic and Anisotropic Plate,” Am. Inst. Aeronautics Astron. J.,29, pp. 944–951.
Sze,  K. Y., and Ghali,  A., 1993, “An Hexahedral Element for Plates, Shells and Beams by Selective Scaling,” Int. J. Numer. Methods Eng., 36, pp. 1519–1540.

Figures

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An eight-node thin hexahedral solid element
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The solid elements modeling the same piezoelectric patch/film share the same electric node, i.e., connectivity for l.h. element: [a,c,j,h,b,d,k,i,p]; connectivity for rh element: [c,f,m,j,d,g,n,k,p]
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Through-thickness electric potential distributions for three-ply [1/2/2/1], a/h=4 (–) nonlinear distribution, (- - - -) linear distribution
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Through-thickness electric potential distributions for three-ply [1/2/2/1], a/h=50 (–) nonlinear distribution, (- - - -) linear distribution
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Through-thickness electric potential distributions for three-ply [2/1/1/2], a/h=4 (–) nonlinear distribution, (- - - -) linear distribution
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Through-thickness electric potential distributions for three-ply [2/1/1/2], a/h=50 (–) nonlinear distribution, (- - - -) linear distribution
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Through-thickness electric potential distributions for five-ply [p/0/90/0/p] for a/h=4 (–) closed-circuit; (- - - -) open-circuit
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Through-thickness electric potential distributions for five-ply [p/0/90/0/p] for a/h=50 (–) closed-circuit; (????) open-circuit
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A cantilever composite plate with thirty surface-bonded piezoelectric actuators
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Nondimensional longitudinal bending deflection of cantilever plate in Fig. 9. (–) present results; (- - - -) Ha et al. 7; (□) experiment [Crawly and Lazarus 21].
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Nondimensional transverse bending deflection of the cantilever plate in Fig. 9. (–) present result; (- - - -) Ha et al. 7; (□) experiment [Crawly and Lazarus 21].
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Nondimensional lateral twisting deflection of the cantilever plate in Fig. 9. (–) present result; (- - - -) Ha et al. 7; (□) experiment [Crawly and Lazarus 21].

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