Effect of electric boundary conditions on crack propagation in ferroelectric ceramics

查看全文 作　　者：F.-X. [1]Li;[1]Y.Sun;[2]R.K.N.D.Rajapakse

机构地区：[1]State Key Laboratory for Turbulence and Complex Systems, College of Engineering,Peking University;[2]Faculty of Applied Sciences, Simon Fraser University

出　　处：《Acta Mechanica Sinica》索引2014年第30卷第2期,共8页

基　　金：supported by the National Natural Science Foundation of China(11002002 and 11090331) 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). 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

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Effect of electric boundary conditions on crack propagation in ferroelectric ceramics

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