Macroscopic Differential Model for Hysteresis and Butterfly-Shaped Behavior in Ferroelectric Materials

Lin Xiang Wang; Ying Chen; Wen Li Zhao

doi:10.4028/www.scientific.net/AMR.47-50.65

Paper Titles

Development of a Safety Network System for Highway Structures in Korea
p.49

A Study on the Problems with Long-Term Bridge Monitoring Systems, and Suggested Solutions
p.53

Sound Transmission through Lightweight All-Metallic Sandwich Panels with Corrugated Cores
p.57

Development of Miniaturized Piezoelectric Multimode Transducer for Projection Purpose
p.61

Macroscopic Differential Model for Hysteresis and Butterfly-Shaped Behavior in Ferroelectric Materials
p.65

Feedback Linearization of Hysteretic Thermoelastic Dynamics of Shape Memory Alloy Actuators with Phase Transformations
p.69

Characteristics of BNT Films Synthesized by a Hydrothermal Method
p.73

Electromagnetic Wave Shielding and Fire Retardant Multifunctional Polymer Composites
p.77

Multifunctional Polymer Composites for "Intellectual" Structures: Present State, Problems, Future
p.81

HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 47-50Macroscopic Differential Model for Hysteresis and...

Macroscopic Differential Model for Hysteresis and Butterfly-Shaped Behavior in Ferroelectric Materials

Abstract:

In the current paper, a macroscopic differential model is constructed on the basis of the Landau theory of the first order phase transformation. Hysteresis loops and butterfly-shaped behaviors are modeled as a consequence of polarizations and orientation switchings. A non-convex free energy function is constructed to characterize different polarization orientations in the materials. Polarizations and orientation switchings are modeled by formulating the system state switching from one equilibrium state to another, as differential equations. The hysteresis loops and butterfly-shaped behaviors are successfully modeled. Comparison of the model results with the experimental counterpart is also presented.