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粘接均匀弹性材料的功能梯度压电带中单裂纹对SH波的散射问题
引用本文:周春梅,韩惠丽.粘接均匀弹性材料的功能梯度压电带中单裂纹对SH波的散射问题[J].安庆师范学院学报(自然科学版),2010,16(2):66-69.
作者姓名:周春梅  韩惠丽
作者单位:宁夏师范学院,数学与计算机科学学院,宁夏,固原,756000;宁夏大学,数学与计算机学院,宁夏,银川,750021
摘    要:讨论了粘接均匀弹性材料的功能梯度压电带中单裂纹对SH射问题,假定裂纹面上的边界条件是电渗透性的,通过Fourier积分变换化为对偶积分方程,利用Copson方法将对偶积分方程转化为第二类Fredholm积分方程解,得到了裂纹尖端的应力强度因子和电位移强度因子,最后讨论了材料梯度参数,波数因素对标准动应力强度因子的影响

关 键 词:功能梯度压电材料  SH波  对偶积分方程  应力强度因子

Problems of SH-wave Scattering from the Crack of Functionally Graded Piezoelectric Strip Bonded to Homogeneous Elastic Material
ZHOU Chun-mei,HAN Hui-li.Problems of SH-wave Scattering from the Crack of Functionally Graded Piezoelectric Strip Bonded to Homogeneous Elastic Material[J].Journal of Anqing Teachers College(Natural Science Edition),2010,16(2):66-69.
Authors:ZHOU Chun-mei  HAN Hui-li
Institution:ZHOU Chun-mei1,HAN Hui-li2(1. School of Mathematics and Computer Science,Ningxia Teachers College,Guyuan 756000,2.College of Mathematics and Computer,Ningxia University,Yinchuan 750021,China)
Abstract:This paper discusses some problems of SH-wave scattering from the crack of functionally graded piezoelectric strip which is bonded to homogeneous elastic material. In the permeable boundary conditions,we use Fourier transforms to reduce the problem to the solution of a pair of dual integral equations,which is changed into second kind Fredholm integral equation using of Copson method. As a result,the stress and electric displacement intensity factors at crack tips are obtained. In the end,we show the effects...
Keywords:functionally graded piezoelectric material  SH wave  dual integral equation  stress intensity factor  
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