Stress induced polarization switching and coupled hysteretic dynamics in ferroelectric materials

doi:10.1007/s11465-011-0230-2

Front Mech Eng

2011, Vol. 6

Issue (3) : 287-291 https://doi.org/10.1007/s11465-011-0230-2

RESEARCH ARTICLE

Stress induced polarization switching and coupled hysteretic dynamics in ferroelectric materials

Linxiang WANG¹(

), Roderick MELNIK², Fuzai LV³

1. Department of Ocean Science and Engineering, Zhejiang University, Hangzhou 310027, China; 2. M²NeT Laboratory, Wilfrid Laurier University, Waterloo, Ontario N2L 3C5, Canada; BCAM, Bizkaia Technology Park, Derio 48106, Spain; 3. Modern Manufacture Engineering Institute, Zhejiang University, Hangzhou 310027, China

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Abstract

The dynamic responses of ferroelectric materials upon external mechanical and electrical stimulations are inherently nonlinear and coupled. In the current paper, a macroscopic differential model is constructed for the coupled hysteretic dynamics via modeling the orientation switching induced in the materials. A non-convex potential energy is constructed with both mechanic and electric field contributions. The governing equations are formulated as nonlinear ordinary differential equations by employing the Euler-Lagrange equation, and can be easily recast into a state space form. Hysteresis loops associated with stress induced polarization switching and butterfly-shaped behavior in ferroelectric materials are also successfully captured. The effects of mechanical loadings on the electrically induced switching are numerically investigated, as well as the mechanically-induced switching with various bias electric fields.

Keywords differential model state space electromechanical switching butterfly effects hysteresis

Corresponding Author(s): WANG Linxiang,Email:lwang236@gmail.com

Issue Date: 05 September 2011

Cite this article:

Linxiang WANG,Roderick MELNIK,Fuzai LV. Stress induced polarization switching and coupled hysteretic dynamics in ferroelectric materials[J]. Front Mech Eng, 2011, 6(3): 287-291.

URL:

https://academic.hep.com.cn/fme/EN/10.1007/s11465-011-0230-2
https://academic.hep.com.cn/fme/EN/Y2011/V6/I3/287

Fig.1 Schematic of polarization orientation switching. (a) The cubic and tetragonal (6 variants) in the three dimensional system; (b) the simplified one-dimensional analog with only three orientations

Fig.2 Effects of stresses on the polarization switching in the ferroelectric materials ( curves)

Fig.3 Effects of the stresses on the polarization switching in the ferroelectric materials (- curves)

Fig.4 Simulations of the effects of the biased electric fields on stress induced polarization switchings

Fig.5 Simulations of the effects of the biased electric fields on stress induced polarization switchings

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