| 含任意方向裂纹功能梯度材料的应力分析研究 |
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| 引用本文： | 果立成,吴林志,杜善义. 含任意方向裂纹功能梯度材料的应力分析研究[J]. 复合材料学报, 2004, 21(1): 84-89 |
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| 作者姓名： | 果立成 吴林志 杜善义 |
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| 作者单位： | 哈尔滨工业大学 复合材料研究所, 哈尔滨 150001 |
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| 基金项目： | 教育部跨世纪优秀人才基金 |
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| 摘 要： | 功能梯度材料是在航空航天领域的需求背景下发展起来的,但由于生产技术及工作环境等方面的原因,功能梯度材料内部常常产生各种形式的裂纹并最终导致材料破坏,因此研究含任意方向裂纹功能梯度材料的断裂问题具有重要意义。以含有任意方向裂纹的功能梯度材料为对象,运用积分变换方法,给出了相应材料平面问题的位移场的形式解。通过引入辅助函数并利用相关条件,可将问题转化为求解一组带有Cauchy核的奇异积分方程,继而采用Lobatto-Chebyshev方法对奇异积分方程进行数值求解。最后分析了裂纹方向、材料非均匀指数、载荷条件对混合型应力强度因子的影响。
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| 关 键 词： | 功能梯度材料 任意方向裂纹 应力强度因子 |
| 文章编号： | 1000-3851(2004)01-0084-06 |
| 收稿时间： | 2002-10-18 |
| 修稿时间： | 2002-12-02 |
STRESS ANALYSIS OF FUNCTIONALLY GRADED MATERIALS WITH AN ARBITRARILY ORIENTED CRACK |
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| GUO Licheng,WU Linzhi,DU Shanyi. STRESS ANALYSIS OF FUNCTIONALLY GRADED MATERIALS WITH AN ARBITRARILY ORIENTED CRACK[J]. Acta Materiae Compositae Sinica, 2004, 21(1): 84-89 |
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| Authors: | GUO Licheng WU Linzhi DU Shanyi |
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| Affiliation: | Center for Composite Materials, Harbin Institute of Technology, Harbin 150001, China |
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| Abstract: | Functionally graded materials (FGMs) have been developed for the needs of the aeronautic and astronautic fields. Due to the reasons of technology, working conditions and some other factors, lots of cracks easily appear in FGMs. Therefore, it is very significant to study the crack problems of FGMs with arbitrarily oriented cracks. In this paper, the FGM with an arbitrarily oriented crack is considered. With the use of integration transform, the displacement form can be obtained. By using auxiliary functions and relative conditions, the present problem is transformed into solving a group of singular integral equations which can be solved numerically by Lobatto-Chebyshev method. Numerical results are obtained to illustrate the variations of the stress intensity factors (SIFs) with the parameters such as nonhomogeneity factor, crack direction and load conditions. |
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| Keywords: | functionally graded materials arbitrarily oriented crack SIF |
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