压电陶瓷晶体迟滞特性的本构关系研究

中国机械工程 ›› 2014, Vol. 25 ›› Issue (15): 2059-2064.

压电陶瓷晶体迟滞特性的本构关系研究

秦海辰;尹周平

华中科技大学数字制造装备与技术国家重点实验室，武汉，430074

出版日期:2014-08-10 发布日期:2014-08-13
基金资助:
国家重点基础研究发展计划(973计划)资助项目(2009CB724200)；国家自然科学基金资助重点项目(51035002)

Research on Hysteresis Constitutive Relation in Piezoceramic Crystals

Qin Haichen;Yin Zhouping

State Key Lab of Digital Manufacturing Equipment & Technology, Huazhong University of Science & Technology, Wuhan, 430073

Online:2014-08-10 Published:2014-08-13
Supported by:
National Program on Key Basic Research Project (973 Program)（No. 2009CB724200）;National Natural Science Foundation of China（No. 51035002）

摘要/Abstract

摘要：

从能量的角度出发，运用本构方法，以热力学唯象理论为基础，通过对压电陶瓷晶体Helmholtz自由能关系进行推导而得出压电晶体的电场强度E与极化强度P的本构关系。与实验结果的对比分析表明，所推导的E-P本构关系能够较为准确地在宏观上描述压电陶瓷晶体的迟滞特性。最后结合实验数据和E-P迟滞曲线对压电陶瓷晶体的Helmholtz自由能和电滞回线进行了分析和讨论。

关键词: 压电陶瓷, 迟滞特性, 本构关系, Helmholtz自由能

Abstract:

Based on the thermodynamics phenomenological theory, a hysteresis constitutive relation of the electric field (E) and polarization (P) was deduced by analyzing the Helmholtz free energy relation of piezoceramic. The experimental hysteresis curve were compared with the academic calculation. The results presented in the hysteresis constitutive relation can describe accurately the hysteretic behavior on a macro-scale. Additionally, the Helmholtz free energy and hysteretic loop were discussed by analyzing experimental data and curves.

Key words: piezoceramic;hysteresis, constitutive relation, Helmholtz free energy

中图分类号:

秦海辰, 尹周平. 压电陶瓷晶体迟滞特性的本构关系研究[J]. 中国机械工程, 2014, 25(15): 2059-2064.

Qin Haichen, Yin Zhouping. Research on Hysteresis Constitutive Relation in Piezoceramic Crystals[J]. China Mechanical Engineering, 2014, 25(15): 2059-2064.

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