摘要
研究压电材料双周期裂纹反平面剪切与平面电场作用的问题.运用复交函数方法,获得了该问题严格的闭合解,并由此给出了裂纹尖端应力强度因子和电位移强度因子的精确公式.数值算例显示了裂纹分布特征对材料断裂行为的重要影响.叠间小裂纹能够对主裂纹的应力和电位移场起着屏蔽作用,相反行间小裂纹却起着放大作用,至于钻石形分布裂纹的影响规律则更为复杂.对于某些特殊情形给予了解答并导出一系列有意义的结果.
This work addresses piezoelectric materials with periodically distributed cracks under antiplane shear and inplane electrical field. By using the complex variable method, an analytical solution to this problem is obtained. The stress intensity factor and electrical displacement intensity factor are given. It is found that crack distribution plays an important role in fracture behavior of materials. The stack-interleaving small cracks shield the stress and electrical displacement fields at the main crack tip, whereas the row-interleaving small cracks intensify them. A diamond-shaped array of small cracks has a more complex influence on the field intensities at the main crack tip. The present solution is rather general. A series of novel and existing solutions for particular periodic cracks can be obtained as special cases. This work can be useful in developing a technique to estimate the strength of piezoelectric materials.
出处
《力学学报》
EI
CSCD
北大核心
2003年第5期610-614,共5页
Chinese Journal of Theoretical and Applied Mechanics
基金
国家自然科学基金(10272009)
航空科学基金(99G51022)
关键词
双周期裂纹
压电材料
反平面剪切
断裂力学
椭圆函数
场强因子
fracture mechanics, double periodic cracks, piezoelectric material, elliptic function, field intensity factor