| 正交各向异性功能梯度材料涂层基底结构的平面断裂问题 |
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| 引用本文： | 郭丽芳,李星.正交各向异性功能梯度材料涂层基底结构的平面断裂问题[J].宁夏大学学报(自然科学版),2011,32(1):22-27. |
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| 作者姓名： | 郭丽芳 李星 |
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| 作者单位： | 1. 上海交通大学数学系,上海,200240;宁夏医科大学高等卫生职业技术学院,宁夏银川,750004
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 |
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| 摘 要： | 利用奇异积分方程方法研究了正交各向异性的功能梯度材料涂层基底结构的平面断裂问题,首先通过积分变换得到问题的形式解,然后利用边界条件通过积分变换与留数定理得到了一组奇异积分方程,最后利用Gauss-Chebyshev方法进行数值求解,讨论了材料参数、材料非均匀参数以及裂纹几何形状等对裂纹尖端应力强度因子的影响.
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| 关 键 词： | 正交各向异性功能梯度材料 奇异积分方程 应力强度因子 裂纹 涂层基底结构 |
Plane Crack Problem of Coating-substrate Structure for Orthotropic Functionally Graded Material |
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| Guo Lifang,Li Xing.Plane Crack Problem of Coating-substrate Structure for Orthotropic Functionally Graded Material[J].Journal of Ningxia University(Natural Science Edition),2011,32(1):22-27. |
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| Authors: | Guo Lifang Li Xing |
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| Affiliation: | Guo Lifang1,2,Li Xing3 (1.Department of Mathematics,Shanghai Jiaotong University,Shanghai 200240,China,2.Vocational Technical College,Ningxia Medical University,Yinchuan 750004,3.School of Mathematics and computer Science,Ningxia University,Yinchuan 750021,China) |
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| Abstract: | In this paper,the Fourier integral transform-singular integral equation method is presented for the Mode-I crack problem of the orthotropic functionally graded coating-substrate structure.The elastic property of the material is assumed vary continuously along the thickness direction.The principal directions of orthotropy are parallel and perpendicular to the boundaries of the strip.The mixed boundary value problem is reduced to a singular integral equation over crack by applying the Fourier transform and th... |
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| Keywords: | orthotropic functionally graded material singular integral equation stress intensity factor crack coating-substrate stucture |
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