摘要
讨论了具有裂纹功能梯度压电层拼接半无限大功能梯度材料的SH波散射问题.假定材料的性质如弹性模量、压电常数、介电常数和密度沿着材料厚度方向以指数形式变化,并假设裂纹面上为限制导通边界条件.运用Fourier余弦变换推导出两对对偶积分方程,然后利用Copson方法求解,得到了裂纹尖端的应力强度因子和电位移强度因子的解析表达式.通过数值方法分析了不同梯度参数、电载荷、电边界条件、入射角、功能梯度层厚度、裂纹位置及波数对无量纲动应力强度因子的影响.
In this paper , the scattering problem of the SH wave on crack in functionally graded piezoelectric strip of ceramic bonded to functionally graded material is investigated . It is assumed that the material properties such as elastic stiffness , piezoelectric constant , dielectric constant , density vary exponentially across the materials thickness , and the crack surfaces are assumed to be limited permeable boundary conditios .By using the Fourier cosine transform ,the problem can be transformed to two pairs of dual integral equation , these equations are solved by Copson method . The dynamic stress intensity factor and electric displacement intensity factor near the crack tip are obtained . Numerical results show the effect of the graded parameter , loading electric , electric boundary conditios , angle of wave , thickness of functionally graded layer piezoelectric material strip , crack displacement and wave number upon the dimensionless stress intensity factor .
出处
《西北师范大学学报（自然科学版）》
CAS
北大核心
2013年第6期41-46,54,共7页
Journal of Northwest Normal University(Natural Science)
基金
国家自然科学基金资助项目(51061015
11362018)
高等学校博士学科点专项基金资助课题(20116401110002)
宁夏大学自然科学基金资助项目(ZR1152)
关键词
SH波
功能梯度压电材料
限制导通边界条件
对偶积分方程
动应力强度因子
SH wave
functionally graded piezoelectric material
limited crack condition
dual integral equation
dynamic stress intensity factor
