Energy principle of ferroelectric ceramics and single domain mechanical model

doi:10.1007/s10409-007-0095-0

IMECH-IR > 力学所知识产出(1956-2008)

	Energy principle of ferroelectric ceramics and single domain mechanical model
	Liu F(刘峰); Li HJ(李海军); Wang ZQ(王自强); Wang, TC (reprint author), Chinese Acad Sci, Inst Mech, LNM, Beijing 100080, Peoples R China.
发表期刊	Acta Mechanica Sinica
	2007
卷号	23 期号:5 页码:531-543
ISSN	0567-7718
摘要	Many physical experiments have shown that the domain switching in a ferroelectric material is a complicated evolution process of the domain wall with the variation of stress and electric field. According to this mechanism, the volume fraction of the domain switching is introduced in the constitutive law of ferroelectric ceramic and used to study the nonlinear constitutive behavior of ferroelectric body in this paper. The principle of stationary total energy is put forward in which the basic unknown quantities are the displacement u (i) , electric displacement D (i) and volume fraction rho (I) of the domain switching for the variant I. Mechanical field equation and a new domain switching criterion are obtained from the principle of stationary total energy. The domain switching criterion proposed in this paper is an expansion and development of the energy criterion. On the basis of the domain switching criterion, a set of linear algebraic equations for the volume fraction rho (I) of domain switching is obtained, in which the coefficients of the linear algebraic equations only contain the unknown strain and electric fields. Then a single domain mechanical model is proposed in this paper. The poled ferroelectric specimen is considered as a transversely isotropic single domain. By using the partial experimental results, the hardening relation between the driving force of domain switching and the volume fraction of domain switching can be calibrated. Then the electromechanical response can be calculated on the basis of the calibrated hardening relation. The results involve the electric butterfly shaped curves of axial strain versus axial electric field, the hysteresis loops of electric displacement versus electric filed and the evolution process of the domain switching in the ferroelectric specimens under uniaxial coupled stress and electric field loading. The present theoretic prediction agrees reasonably with the experimental results given by Lynch.
关键词	Ferroelectric Ceramic Domain Switching The Volume Fraction Of Domain Switching Single Domain Mechanical Model Finite-element-analysis Thermodynamical Formulation Constitutive Relations Behavior Simulation Motion Plzt Law
DOI	10.1007/s10409-007-0095-0
收录类别	SCI ; EI ; CSCD
语种	英语
WOS记录号	WOS:000249804600008
关键词[WOS]	FINITE-ELEMENT-ANALYSIS ; THERMODYNAMICAL FORMULATION ; CONSTITUTIVE RELATIONS ; BEHAVIOR ; SIMULATION ; MOTION ; PLZT ; LAW
WOS研究方向	Engineering ; Mechanics
WOS类目	Engineering, Mechanical ; Mechanics
引用统计	被引频次：2[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/33909
专题	力学所知识产出(1956-2008)
通讯作者	Wang, TC (reprint author), Chinese Acad Sci, Inst Mech, LNM, Beijing 100080, Peoples R China.
推荐引用方式 GB/T 7714	Liu F,Li HJ,Wang ZQ,et al. Energy principle of ferroelectric ceramics and single domain mechanical model[J]. Acta Mechanica Sinica,2007,23,5,:531-543.
APA	刘峰,李海军,王自强,&Wang, TC .(2007).Energy principle of ferroelectric ceramics and single domain mechanical model.Acta Mechanica Sinica,23(5),531-543.
MLA	刘峰,et al."Energy principle of ferroelectric ceramics and single domain mechanical model".Acta Mechanica Sinica 23.5(2007):531-543.

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