The effects of the internal pressure on the evolution of intra-granular microcracks under electric field
Received:January 22, 2011  Revised:September 22, 2011
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KeyWord:intra-granular microcracks  electric field  internal pressure  finite element method
黄鹏 南京航空航天大学 机械结构力学及控制国家重点实验室, 南京
黄佩珍 南京航空航天大学 机械结构力学及控制国家重点实验室, 南京
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      Based on the theory of surface diffusion and its weak statement,a finite element method was developed to simulate shape evolutions of intra-granular microcracks due to the internal pressure,electric field and curvature of surface.The results show that there is a critical value χc for a given aspect ratio β.When χ<χc,the microcrack will evolve into a cylinder directly.When χ>χc,the microcrack will be divided into two right-and-left or lower-and-upper microcracks.The microcrack is easy and accelerative to split into two parts with the internal pressure increasing.There is a critical value of pressure qc for β>1 when both β and χ are given.If q>qc,the microcrack propagation firstly appears at its right side with the increasing of χ and q.