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总览 评价 王士娟 , 高存法 * ( 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 210016; ) 摘要: 本文研究了在电场作用下,无限大电致伸缩材料中含不可穿透圆弧形裂纹的二维断裂问题。运用Muskhelisvili方法,忽略应变对介电常数及电场的影
王士娟, 高存法*
(
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 210016; )
摘要:
本文研究了在电场作用下,无限大电致伸缩材料中含不可穿透圆弧形裂纹的二维断裂问题。运用Muskhelisvili方法,忽略应变对介电常数及电场的影响,将力-电解耦,首先给出静电场问题的解,然后推导出电-弹场问题的解。通过考虑Maxwell应力的效应,讨论了裂尖应力的奇异形式,最后通过数值算例结果讨论了电场和裂纹几何参数对应力强度因子的影响。
关键词:
电致伸缩材料; 圆弧裂纹; Maxwell应力
WANG Shijuan, GAO Cunfa*
(
State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016; )
Abstract:
In this paper, two-dimensional problem of an impermeable circular-arc embedded in an isotropic electrostrictive material subjected to pure electric loads at infinity is investigated. Based on Muskhelisvili's method, it is assumed that the strain is so small that the influence of strain on the dielectric constant can be neglected. Thus, the stress and electric field are decoupled, subsequently, electric and stress complex potentioals can be easily obtained, respectively, and the singularities at the crack tip are discussed by taking Maxwell stress into account. In addition, the numerical results are graphically shown to study the influence of electric field and geometric parameters of crack on crack growth.
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