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无限长功能梯度压电板中双裂纹尖端热响应分析
引用本文:陆万顺,李星.无限长功能梯度压电板中双裂纹尖端热响应分析[J].江西师范大学学报(自然科学版),2011,35(5):449-454.
作者姓名:陆万顺  李星
作者单位:1. 宁夏师范学院数学与计算机科学学院,宁夏固原,756000
2. 宁夏大学数学计算机学院,宁夏银川,750021
基金项目:国家自然科学基金(10661009); 宁夏自然科学基金(NZ11253); 宁夏师范学院科学研究(YB200911)资助项目
摘    要:讨论了无限长功能梯度压电板中双裂纹尖端热响应分析,将考虑的问题通过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3重对偶积分方程,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的影响.

关 键 词:功能梯度压电材料  强度因子  分析

The Analysis for Thermo Behaviour of Two Crack Peak in Infinite Length of Functionally Graded Piezoelectric Board
LU Wan-shun,LI Xing.The Analysis for Thermo Behaviour of Two Crack Peak in Infinite Length of Functionally Graded Piezoelectric Board[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2011,35(5):449-454.
Authors:LU Wan-shun  LI Xing
Institution:LU Wan-shun1,LI Xing2(1.Department of Mathematics and Computer Science,Ningxia Normal College,Guyuan Ningxia 756000,China,2.College of Mathematics and Computer,Ningxia University,Yinchuan Ningxia 750021,China)
Abstract:Analysis on thermo behaviour of two cracks peak in infinite length of functionally graded piezoelectric board is discussed.By using the Fourier transfirm,the problem can be solved with the help of a pair integral equations in which the unknown variable is the jump of displacement.And then,these equations are solved using the Schmidt method.At last,numerical results show the effect of temperature and material coefficient upon the normalized intensity factor.
Keywords:functionally graded piezoelectric materials  intensity factor  analysis  
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