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TECHNICAL PAPERS

Hysteresis Behavior and Modeling of Piezoceramic Actuators

[+] Author and Article Information
X. Zhou, A. Chattopadhyay

Department of Mechanical and Aerospace Engineering, Arizona State University, Tempe, AZ 85287-6106

J. Appl. Mech 68(2), 270-277 (Aug 28, 2000) (8 pages) doi:10.1115/1.1357168 History: Received March 01, 2000; Revised August 28, 2000
Copyright © 2001 by ASME
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References

Crawley,  E. F., and Deluis,  J., 1987, “Use of Piezoelectric Actuators as Elements of Intelligent Structures,” AIAA J., 25, No. 10, pp. 1373–1385.
Eringen,  A. C., 1963, “On the Foundations of Electroelastrostatics,” Int. J. Eng. Sci., 1, pp. 127–153.
Tiersten, H. F., 1969, Linear Piezoelectric Plate Vibrations, Plenum Press, New York.
Chan, K., and Hagood, N., 1994, “Modeling of Nonlinear Piezoceramics for Structural Actuation,” Proc. of SPIE’s Symposium on Smart Structures and Materials, Vol. 2190, pp. 194–205.
Sirohi, J., and Chopra, I., 1998, “Fundamental Behavior of Piezoceramic Sheet Actuators,” Proc. of SPIE’s Symposium on Smart Structures and Integrated Systems, Vol. 3329, pp. 626–646.
Devonshire, A. F., 1992, “Theory of Barium Titanate (Part I),” Key Papers in Physics: Piezoelectricity, American Institute of Physics, Melvilla, NY, pp. 116–139.
Devonshire, A. F., 1992, “Theory of Barium Titanate (Part II),” Key Papers in Physics: Piezoelectricity, American Institute of Physics, Melville, NY, pp. 140–154.
Chowdhury,  K. L., Epstein,  M., and Glockner,  P. G., 1979, “On the Thermodynamics of Non-Linear Elastic Dielectrics,” Int. J. Non-Linear Mech., 13, pp. 311–322.
Chen,  P. J., and Montgomery,  S. P., 1980, “A Macroscopic Theory for the Existence of the Hysteresis and Butterfly Loops in Ferroelectricity,” Ferroelectrics, 23, pp. 199–208.
Ghandi,  K., and Hagood,  N., 1996, “Nonlinear Finite Element Modeling of Phase Transition in Electro-Mechanically Coupled Material,” Proc. of SPIE’s Symposium on Smart Structures and Materials, Vol. 2715, pp. 121–140.
Smith, R. C., and Ounaies, Z., 1999, “A Hysteresis Model for Piezoceramic Materials,” CRSC Technical Reports, CRSC-TR99-21.
Fang,  D. N., and Li,  C. Q., 1999, “Nonlinear Electric-Mechanical Behavior of a Soft PZT-51 Ferroelectric Ceramic,” J. Mater. Sci., 34, No. 16, pp. 4001–4010.
Crawley,  E. F., and Anderson,  E. H., 1989, “Detailed Models of Piezoceramic Actuation of Beams,” J. Intell. Mater. Syst. Struct., 1, pp. 4–25.

Figures

Grahic Jump Location
Illustration of surface mapping
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Illustration of dipole reorientation
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Illustration of polarization Pd
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Illustration of hysteresis loop (PZT 5A)
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Comparison of electrical hysteresis loops (PZT 5A, 1600 V)
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Comparison of electrical hysteresis loops (PZT 5A, 1000 V)
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Comparison of electrical hysteresis loop (PZT-51, σ3=0 Mpa)
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Comparison of electrical hysteresis loop (PZT-51, σ3=−20 Mpa)
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Comparison of longitudinal strain (PZT-51, σ3=0 Mpa)
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Comparison of longitudinal strain (PZT-51, σ3=−20 Mpa)
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Illustration of cantilever beam, surface-bonded actuators
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Comparison of linear and nonlinear induced deflections
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Comparison of linear and nonlinear induced deflections

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