摘要
利用Fourier变换技术将混合边值问题化为对偶积分方程,求解对偶积分方程得到应力强度因子以及电位移强度因子的表达式。最后通过数值计算讨论了材料参数、载荷条件以及裂纹的几何参数等对功能梯度压电材料中裂纹尖端应力强度因子的影响。
By using the Fourier transform and defining the jumps of displacement and electric potential components across the crack surface as unknown functions, two pairs of dual integral equations are derived. To solve the dual integral equations, the jumps of the displacement and electric potential components across the crack surface are expanded in a series of Jacobi polynomials. Numerical examples are provided to show the effects of material properties, loading condition and crack size on the stress and electric displacement intensity factors.
出处
《工程力学》
EI
CSCD
北大核心
2006年第1期47-51,共5页
Engineering Mechanics
基金
国家杰出青年基金(10325208)
关键词
工程力学
功能梯度压电材料
应力强度因子
电位移强度因子
积分方程
engineering mechanics
functionally graded piezoelectric materials （FGPM）
stress intensity factor
electric displacement intensity factor
integral equation
