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缺陷压电结构电弹性问题断裂分析
Electro-elastic fracture analysis of piezoelectric materials with cracks
【摘要】 对含中心裂纹的压电体进行了断裂理论分析,利用裂纹附近广义位移场的局部解构造了一种关于含中心裂纹的压电材料广义位移模式,并建立了有限元断裂分析模型;得到了修正了的含中心裂纹的压电体压电场的本构方程;提出了求解含中心裂纹的压电材料广义强度因子的数值计算方法。利用该方法考察了不同结构尺寸、电位移与电场对解的影响。数值算例说明了本文方法的有效性。
【Abstract】 The purpose of this paper was aimed to provide a method for computing the general intensity factors of piezoelectric materials with a centric crack subjected to general mechanical electric loading.The theoretic solution of displacement fields of piezoelectric materials was used to construct a general displacement model with a centric crack.A singular element to compute general intensity factors of crack problems of piezoelectric materials was proposed.The general intensity factor can be solved directly with the present method without any post-processing.The effects of different structural sizes and electric displacements on the solution are discussed.Numerical examples are given to illustrate the validity of the present method.
【Key words】 solid mechanics; piezoelectric materials; singular element; intensity factor; crack; finite element method;
- 【文献出处】 吉林大学学报(工学版) ,Journal of Jilin University(Engineering and Technology Edition) , 编辑部邮箱 ,2006年S2期
- 【分类号】O346.1
- 【被引频次】4
- 【下载频次】63