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Effect of electric boundary conditions on crack propagation in ferroelectric ceramics

ISSN号：0567-7718
期刊名称：《力学学报：英文版》
时间：0
分类：O346.1[理学—固体力学;理学—力学] TM22[电气工程—电工理论与新技术;一般工业技术—材料科学与工程]
作者机构：[1]State Key Laboratory for Turbulenceand Complex Systems, College of Engineering,Peking University, 100871 Beijing, China, [2]Faculty of Applied Sciences, Simon Fraser University,Burnaby, V5A 1S6, Canada
相关基金：supported by the National Natural Science Foundation of China（11002002 and 11090331）

关键词：电边界条件, 裂纹扩展, 铁电陶瓷, 非线性分析, 能量释放速率, Stroh理论, 非线性效应, 能量释放率, Ferroelectric ceramics Crack propagation En-ergy release rate Electric boundary conditions Domain switching

中文摘要：

在这份报纸，电的边界的效果在铁电体陶艺在我击碎的模式上调节繁殖被使用线性、非线性的压电的破裂力学学习。在线性分析，在开的电路和短路下面的透不过的裂缝用 Stroh 形式主义和一个重新可伸缩的方法被分析。在短路的精力版本率在开的电路比那大，这被显示出。在非线性的分析，可渗透的裂缝条件被使用，领域在一个裂缝尖端附近切换的非线性的效果用 Hwang 等建议的一个基于精力的切换标准被考虑。（ Acta 金属。母亲， 1995 ) 。在开的电路，领域切换导致的一块大去极地成为切换比那更困难在短路。分析证明在短路的精力版本率在开的电路仍然比那大，并且也比线性结果大。因而，是否用线性或非线性的破裂分析，一个裂缝被发现更容易比在开的电路在短路宣传，它与 Kounga Njiwa 等的试验性的观察一致。（ Eng。Fract。Mech， 2006 ) 。

英文摘要：

In this paper, the effect of electric boundary conditions on Mode I crack propagation in ferroelectric ceramics is studied by using both linear and nonlinear piezoelectric fracture mechanics. In linear analysis, impermeable cracks under open circuit and short circuit are analyzed using the Stroh formalism and a rescaling method. It is shown that the energy release rate in short circuit is larger than that in open circuit. In nonlinear analysis, permeable crack conditions are used and the nonlinear effect of domain switching near a crack tip is considered using an energy-based switching criterion proposed by Hwang et al.（Acta Metal. Mater.,1995）. In open circuit, a large depolarization field induced by domain switching makes switching much more diffcult than that in short circuit. Analysis shows that the energy release rate in short circuit is still larger than that in open circuit, and is also larger than the linear result. Consequently,whether using linear or nonlinear fracture analysis, a crack is found easier to propagate in short circuit than in open circuit, which is consistent with the experimental observations of Kounga Njiwa et al.（Eng. Fract. Mech., 2006）.