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一种新的缺陷压电体奇异准协调单元及其断裂分析
引用本文:曹宗杰,匡震邦.一种新的缺陷压电体奇异准协调单元及其断裂分析[J].航空学报,2006,27(3):403-407.
作者姓名:曹宗杰  匡震邦
作者单位:空军航空大学,航空机械工程系,吉林,长春,130022;上海交通大学,工程力学系,上海,200240;上海交通大学,工程力学系,上海,200240
基金项目:中国科学院资助项目 , 中国博士后科学基金
摘    要:在缺陷压电体断裂理论分析的基础上构造了一种新的缺陷压电体广义位移模式并建立了有限元断裂分析模型;提出了求解压电体含大曲率缺口广义强度因子等断裂参量的数值分析计算方法。考查了不同结构尺寸、电位移与电场对解的影响,本方法所得的结果与理论解一致,说明了本文方法的有效性。

关 键 词:压电材料  裂纹  奇异元  强度因子  电位移
文章编号:1000-6893(2006)03-0403-05
收稿时间:2004-11-29
修稿时间:2004年11月29

A New Singular Quasi-compatible Finite Element of Piezoelectric Materials and Its Fracture Analysis
CAO Zong-jie,KUANG Zhen-bang.A New Singular Quasi-compatible Finite Element of Piezoelectric Materials and Its Fracture Analysis[J].Acta Aeronautica et Astronautica Sinica,2006,27(3):403-407.
Authors:CAO Zong-jie  KUANG Zhen-bang
Institution:1. Department of Engineering Mechanics, Shangshai Jiaotong University, Shanghai 200240, China;2. Department of Engineering Mechanics, Shangshai Jiaotong University, Shanghai 200240, China
Abstract:The local solutions of general displacement fields near a crack of piezoelectric materials are first used to construct a new general displacement modelling of crack problems in piezoelectric materials.With the mini-mum potential energy principle,a finite element version for piezoelectric materials with a blunt crack is pro-posed.A new singular finite element is constituted and a new method to calculate the general intensity factors of crack problems in piezoelectric materials is obtained.Compared with theoretical solutions,the results ob-tained by the present method are in good agreement with those of theoretical ones.The results of the different structural dimensions illustrate that the present method is stable,reliable and highly accurate,high efficient and easy to use in practical program operation.
Keywords:piezoelectric material  crack  singular element  intensity factor  electric displacement
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