Constitutive model for relaxor ferroelectrics

Craig L. Hom; Natarajan Shankar

doi:10.1117/12.350068

4 June 1999 Constitutive model for relaxor ferroelectrics

Craig L. Hom, Natarajan Shankar

Proceedings Volume 3667, Smart Structures and Materials 1999: Mathematics and Control in Smart Structures; (1999) https://doi.org/10.1117/12.350068
Event: 1999 Symposium on Smart Structures and Materials, 1999, Newport Beach, CA, United States

Abstract

This paper presents a static, temperature dependent constitutive model for polycrystalline relaxor ferroelectrics operating near their diffuse transition temperature. The model assumes that the relaxor material consists of superparaelectric, micro polar regions with a diffuse spectrum of Curie temperatures. A simple Ising model with near neighbor ion interaction represents the thermodynamics of the individual micro polar regions. A random-order dispersion of the B-site ions simulates the distribution of phase transitions. The diffuse micro polar region model predicts two important materials parameters, the saturation polarization and the density of the polar regions, as a function of temperature. A macroscopic model was constructed with these parameters to simulate dielectric and polarization response of the aggregate material. The macroscopic model also accounts for interaction between the micro polar regions. Finally, the predictions made by the model are compared with experimental data obtained by other researchers on lead magnesium niobate (PMN) relaxor ferroelectrics.

Citation Download Citation

Craig L. Hom and Natarajan Shankar "Constitutive model for relaxor ferroelectrics", Proc. SPIE 3667, Smart Structures and Materials 1999: Mathematics and Control in Smart Structures, (4 June 1999); https://doi.org/10.1117/12.350068

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