A temperature-dependent hysteresis model for relaxor ferroelectric compounds

Julie K Raye; Ralph C. Smith

doi:10.1117/12.539784

26 July 2004 A temperature-dependent hysteresis model for relaxor ferroelectric compounds

Julie K Raye, Ralph C. Smith

Author Affiliations +

Proceedings Volume 5383, Smart Structures and Materials 2004: Modeling, Signal Processing, and Control; (2004) https://doi.org/10.1117/12.539784
Event: Smart Structures and Materials, 2004, San Diego, CA, United States

Abstract

This paper summarizes the development of a homogenized free energy model which characterizes the temper- ature-dependent hysteresis and constitutive nonlinearities inherent to relaxor ferroelectric materials. A kernel for the model is developed through mesoscopic energy analysis and extended to provide macroscopic constitutive relations through stochastic homogenization techniques based on the assumption that certain underlying parameters are manifestations of underlying densities rather than constants. Mechanisms characterizing the decrease in hysteresis and saturation polarization polarization as temperatures are increased are constructed using asymptotic properties of the kernel which is derived from statistical mechanics tenets. Attributes of the model are illustrated through comparison with PMN-PT-BT data.

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Julie K Raye and Ralph C. Smith "A temperature-dependent hysteresis model for relaxor ferroelectric compounds", Proc. SPIE 5383, Smart Structures and Materials 2004: Modeling, Signal Processing, and Control, (26 July 2004); https://doi.org/10.1117/12.539784

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