| 热载荷下功能梯度材料中裂纹对SH波散射问题的分析 |
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| 引用本文： | 陆万顺,李星.热载荷下功能梯度材料中裂纹对SH波散射问题的分析[J].宁夏大学学报(自然科学版),2011,32(1):11-14. |
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| 作者姓名： | 陆万顺 李星 |
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| 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 |
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| 基金项目： | 国家自然科学基金资助项目，宁夏师范学院科学研究基金资助项目 |
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| 摘 要： | 讨论了热栽荷下功能梯度材料中裂纹对SH波的散射问题．借助Fourier积分变换，将所研究的问题转化成对偶积分方程，运用Copson方法将对偶积分方程变为第二类Fredholm积分方程进行求解，分析了材料梯度参数、温度等因素对标准化动应力强度因子的影响．
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| 关 键 词： | 功能梯度材料 裂纹 SH波 |
Analysis on Scattering of SH Wave on Crack in Functionally Graded Materials under Thermal Loading |
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| Lu Wanshun,Li Xing.Analysis on Scattering of SH Wave on Crack in Functionally Graded Materials under Thermal Loading[J].Journal of Ningxia University(Natural Science Edition),2011,32(1):11-14. |
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| Authors: | Lu Wanshun Li Xing |
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| Institution: | Lu Wanshun1,Li Xing2 (1.School of Mathematics and Computer Science,Ningxia Teachers College,Guyuan 756000,China,2.School of Mathematics and Computer Science,Ningxia University,Yinchuan 750021,China) |
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| Abstract: | The scattering of SH wave on crack in functionally graded materials under thermal loading is discussed.Fourier transforms are used to reduce the problem to the solutions of a pair of dual integral equations,which are then reduced to a Fredholm integral equation of second kind by the Copson method.Finally,the effect of material gradient,the frequency of wave and so on upon the normalized stress intensity factor is analyzed. |
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| Keywords: | functionally graded materials crack SH wave |
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