摘要
分析了功能梯度压电材料中裂纹尖端的热应力.针对考虑的问题,通过Fourier积分变换把混合边值问题的求解转化为裂纹面上位移间断为未知量的对偶积分方程,然后利用Schmidt方法来求解,最后通过数值算例讨论了温度及材料系数对应力强度因子、电位移强度因子的影响.
The thermo behavior of crack peak in functionally graded piezoelectric materials is discussed, and the problem can be transformed to a dual integral equations in which the unknown variable is the jump of displacement by using the Fourier transform. And then, these equations are sovled using the Schmidt method. At last, the effect of temperature and material coefficient upon the stress intensity factor and electric displacement factor is discussed by numerical examples.
出处
《宁夏大学学报(自然科学版)》
CAS
2012年第2期125-129,共5页
Journal of Ningxia University(Natural Science Edition)
基金
国家自然科学基金资助项目(10962008
51061015)
宁夏自然科学基金资助项目(NZ11253
NZ11257)
宁夏高等学校科研资助项目(NG1003)
宁夏师范学院科学研究资助项目(YB200911)
关键词
功能梯度压电材料
应力强度因子
电位移强度因子
裂纹
functionally graded piezoelectric materials
intensity factor
electric displacement factor
cracks