Energy Functions And Basic Equations For Ferroelectrics

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	Energy Functions And Basic Equations For Ferroelectrics
	Li HJ(李海军); Wang ZQ(王自强)
刊名	Acta Mechanica
	2009
通讯作者邮箱	tcwang@imech.ac.cn
页码	69-80
关键词	Electric-Mechanical Behavior Finite-Element Model Constitutive Model Piezoelectric Materials Fracture-Mechanics Switching Model Single-Crystals Domain Switch Ceramics Hysteresis
ISSN号	0001-5970
通讯作者	Wang TC
中文摘要	Energy functions (or characteristic functions) and basic equations for ferroelectrics in use today are given by those for ordinary dielectrics in the physical and mechanical communications. Based on these basic equations and energy functions, the finite element computation of the nonlinear behavior of the ferroelectrics has been carried out by several research groups. However, it is difficult to process the finite element computation further after domain switching, and the computation results are remarkably deviating from the experimental results. For the crack problem, the iterative solution of the finite element calculation could not converge and the solutions for fields near the crack tip oscillate. In order to finish the calculation smoothly, the finite element formulation should be modified to neglect the equivalent nodal load produced by spontaneous polarization gradient. Meanwhile, certain energy functions for ferroelectrics in use today are not compatible with the constitutive equations of ferroelectrics and need to be modified. This paper proposes a set of new formulae of the energy functions for ferroelectrics. With regard to the new formulae of the energy functions, the new basic equations for ferroelectrics are derived and can reasonably explain the question in the current finite element analysis for ferroelectrics.
类目[WOS]	Mechanics
研究领域[WOS]	Mechanics
关键词[WOS]	ELECTRIC-MECHANICAL BEHAVIOR ; FINITE-ELEMENT MODEL ; CONSTITUTIVE MODEL ; PIEZOELECTRIC MATERIALS ; FRACTURE-MECHANICS ; SWITCHING MODEL ; SINGLE-CRYSTALS ; DOMAIN SWITCH ; CERAMICS ; HYSTERESIS
收录类别	SCI
语种	英语
WOS记录号	WOS:000266909900006
公开日期	2009-08-03 ; 2009-10-09
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/26574]
专题	力学研究所_非线性力学国家重点实验室
推荐引用方式 GB/T 7714	Li HJ,Wang ZQ. Energy Functions And Basic Equations For Ferroelectrics[J]. Acta Mechanica,2009:69-80.
APA	李海军,&王自强.(2009).Energy Functions And Basic Equations For Ferroelectrics.Acta Mechanica,69-80.
MLA	李海军,et al."Energy Functions And Basic Equations For Ferroelectrics".Acta Mechanica (2009):69-80.