摘要
针对含有两个圆弧裂纹电致伸缩材料的平面问题,应用复变函数方法首先获得了在电场作用下复势函数的解析解和应力强度因子的精确解。不同于过去的工作,本文不但考虑了裂纹表面的Maxwell应力,同时也考虑了材料外表面的Maxwell应力,从而可讨论材料所处的环境对断裂的影响。然后,通过数值结果分析了裂纹尺寸、裂纹内介质的介电常数和环境空间的介电性质对断裂的影响。
For the plane problem of two symmetrical circular-arc cracks in an electrostrictive solid subjected to remote electric fields,the analytical solutions for complex potentials and intensity factors of total stresses were presented in closed-form based on the complex variable method.Different from previous works,the present work is done by taking Maxwell stresses not only inside the crack but also that around the solid into account,so that it allows us to discuss the effects of Maxwell stresees on crack growth.In addition,some numerical results were also given to investigate the influence of crack geometry and dielectric constants of filler inside the crack and around the solid on the intensity factors of total stresses.
出处
《力学季刊》
CSCD
北大核心
2011年第3期330-337,共8页
Chinese Quarterly of Mechanics
关键词
电致伸缩材料
圆弧裂纹
应力强度因子
Maxwell应力
复变函数法
electrostrictive solid
circular-arc cracks
intensity factors of stress
Maxwell stress
complex variable function method
