| 梯度复合板界面对Ⅲ型内部周期裂纹影响 |
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| 引用本文： | 万景燕,霍华颂,时朋朋.梯度复合板界面对Ⅲ型内部周期裂纹影响[J].河北煤炭建筑工程学院学报,2012(2):104-107. |
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| 作者姓名： | 万景燕 霍华颂 时朋朋 |
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| 作者单位： | [1]长安大学理学院,陕西西安710061 [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（10962008,51061015） |
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| 摘 要： | 讨论在反平面载荷作用下功能梯度复合板条断裂问题，复合板由两类不同的功能梯度板条弱间断粘接而成，一个板条中存在内部周期裂纹。采用有限傅里叶变换和Hilbert核奇异积分方程方法求解该断裂问题。通过讨论断裂参数的数值解，分析了功能梯度非均匀参数，功能梯度层厚度，裂纹与界面间距以及周期带长等对应力强度因子的影响。
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| 关 键 词： | 功能梯度层合材料 弱间断界面 内部周期裂纹 有限傅里叶变换 应力强度因子 |
Periodic inner cracking problem of with an interface between two dissimilar graded layers of finite thickness |
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| Affiliation: | WAN Jing -yan , HUO Hua - song, SHI Peng - peng ( 1. School of Science, Chang＇ an University, Shanxi Xi＇ an 710061, China; 2. School of Mathematics and Computer Science, Ningxia University, Ningxia Yinchuan 750021, China) |
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| Abstract: | The effect of weak - discontinuous interface on the periodic inner cracks in a laminated functionally graded composite is analyzed under anti -plane shear loads. Fourier transformation and dislocation density functions are employed to reduce the solution of the mixed - boundary value prob- lem for Hilbert - type singular integral equation, which are solved by Lobatto - Chebyshev technique. The effects of the FGM nonhomogeneity, the layers thickness, the distance between of cracks and the weak -discontinuous interface, crack spacing on the fracture parameter are discussed in detail. |
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| Keywords: | functionally graded materials weak - discontinuous interface periodic inner cracks fi- nite Fourier transformation stress intensity factor |
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