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A Stress-Dependent Hysteresis Model for PZT

  • Brian L. Ball (a1), Ralph C. Smith (a1), Sang-Joo Kim (a2) and Stefan Seelecke (a3)

Abstract

This paper addresses the development of an energy-based characterization framework which quantifies stress-induced dipole switching in ferroelectric materials. Helmholtz and Gibbs energy relations that accommodate 90° and 180° dipole orientations as equilibrium states are constructed at the lattice level. For regimes in which thermal relaxation mech- anisms are negligible, minimization of the Gibbs relations provides local polarization and strain relations. Alternatively, behavior such as creep or thermal relaxation can be incorpo- rated by balancing Gibbs and relative thermal energies through Boltzmann principles. In the nal step of the development, stochastic homogenization techniques based on the assump- tion that parameters such as coercive and induced elds are manifestations of underlying distributions are employed to construct macroscopic models suitable for nonhomogeneous polycrystalline compounds. Attributes and limitations of the model are illustrated through comparison with experimental PLZT data.

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[1] Kim, S.J., Seelecke, S., Ball, B.L., and Smith, R.C., Continuum Mechanics and Thermo-dynamics, submitted.
[2] Lynch, C.S., Acta Materialia, 44, 4137 (1996).
[3] Massad, J.E. and Smith, R.C., International Journal on the Science and Technology of Condensed Matter Films, to appear.
[4] Nambu, S. and Sagala, D. A., Physical Review B, 50, 5838 (1994).
[5] Seelecke, S. and Müller, I., ASME Applied Mechanics Reviews, 57, 23 (2004).
[6] Smith, R.C., Smart Material Systems: Model Development, SIAM, Philadelphia, PA, 2005.
[7] Smith, R.C., Seelecke, S., Dapino, M.J. and Ounaies, Z., model for hysteresis in ferroic materials,” Proceedings of the SPIE, Volume 5049, 88 (2003).
[8] Smith, R.C., Seelecke, S., Ounaies, Z. and Smith, J., Journal of Intelligent Material Systems and Structures, 14, 719 (2003).

A Stress-Dependent Hysteresis Model for PZT

  • Brian L. Ball (a1), Ralph C. Smith (a1), Sang-Joo Kim (a2) and Stefan Seelecke (a3)

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