Macroscopic differential model for hysteresis and butterfly-shaped behavior in ferroelectric materials

被引:3
|
作者
Wang, Linxiang [1 ]
Chen, Ying [1 ]
Zhao, Wenli [1 ]
机构
[1] Hangzhou Dianzi Univ, Inst Mechatron Engn, Hangzhou 310037, Zhejiang, Peoples R China
来源
MULTI-FUNCTIONAL MATERIALS AND STRUCTURES, PTS 1 AND 2 | 2008年 / 47-50卷
关键词
differential model; hysteresis; butterfly effects; polarization switching; rate dependence;
D O I
10.4028/www.scientific.net/AMR.47-50.65
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In the current paper, a macroscopic differential model is constructed oil 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.
引用
收藏
页码:65 / 68
页数:4
相关论文
共 42 条
  • [31] Resolving the molecular diffusion model based on butterfly-shaped non-fused ring electron acceptors for efficient ternary organic photovoltaics with improved stability
    Ding, Xueyan
    Wu, Xiaoling
    Li, Shuixing
    Chen, Tianyi
    Yu, Jinyang
    Liu, Heng
    Wang, Mengting
    Ye, Xiu-Kun
    Zhang, Nuo
    Lu, Xinhui
    Li, Chang-Zhi
    Zhu, Haiming
    Shi, Minmin
    Li, Hanying
    Chen, Hongzheng
    ENERGY & ENVIRONMENTAL SCIENCE, 2025, 18 (02) : 948 - 959
  • [32] Global existence and long time behavior of solutions to a model of ferroelectric materials
    Hamdache, K.
    Hamroun, D.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 438 (02) : 668 - 700
  • [33] A hybrid micromechanical-macroscopic model for the analysis of the tensile behavior of cavitating materials
    P. D. Nicolaou
    S. L. Semiatin
    Metallurgical and Materials Transactions A, 2004, 35 : 1141 - 1149
  • [34] A hybrid micromechanical-macroscopic model for the analysis of the tensile behavior of cavitating materials
    Nicolaou, PD
    Semiatin, SL
    METALLURGICAL AND MATERIALS TRANSACTIONS A-PHYSICAL METALLURGY AND MATERIALS SCIENCE, 2004, 35A (3A): : 1141 - 1149
  • [35] A hybrid micromechanical-macroscopic model for the analysis of the tensile behavior of cavitating materials
    P. D. Nicolaou
    S. L. Semiatin
    Metallurgical and Materials Transactions A, 2004, 35 (3) : 1141 - 1149
  • [36] The model of the hysteresis for materials in which depending on composition the transition from relaxor to ferroelectric properties take place
    R. Skulski
    P. Wawrzała
    The European Physical Journal Special Topics, 2008, 154 : 195 - 200
  • [37] The model of the hysteresis for materials in which depending on composition the transition from relaxor to ferroelectric properties take place
    Skulski, R.
    Wawrzala, P.
    EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 2008, 154 (1): : 195 - 200
  • [38] Multiscale Characterization and Model for the Dynamic Behavior of Ferroelectric Materials Using Fractional Operators
    Ducharne, Benjamin
    Litak, Grzegorz
    Zhang, Bin
    Gupta, Bhaawan
    MATHEMATICAL METHODS IN ENGINEERING: APPLICATIONS IN DYNAMICS OF COMPLEX SYSTEMS, 2019, 24 : 139 - 152
  • [39] Two Octanuclear {Cu4Ln4} (Ln = Dy or Tb) Complexes with a Butterfly-Shaped Unit Exhibiting Zero-Field Single-Molecule Magnet Behavior
    Zhao, Xiaoxi
    Li, Ge
    Ma, Jingjing
    Liu, Weisheng
    INORGANIC CHEMISTRY, 2020, 59 (04) : 2328 - 2336
  • [40] A Constitutive Model of Coupled Magneto-thermo-mechanical Hysteresis Behavior for Giant Magnetostrictive Materials
    Zhan, You-Shu
    Lin, Chien-hong
    MECHANICS OF MATERIALS, 2020, 148