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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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DOI:10.7511/jslx20124026 |
KeyWord:intra-granular microcracks electric field internal pressure finite element method |
Author | Institution |
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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Abstract: |
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. |
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