| 功能梯度板条断裂分析 |
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| 引用本文： | 程站起 仲政. 功能梯度板条断裂分析[J]. 力学季刊, 2005, 26(4): 544-548 |
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| 作者姓名： | 程站起 仲政 |
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| 作者单位： | 同济大学,航空航天与力学学院,上海,200092;郑州大学,土木工程学院,郑州,450002;同济大学,航空航天与力学学院,上海,200092 |
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| 基金项目： | 国家自然科学基金（10432030） |
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| 摘 要： | 现存文献关于功能梯度材料断裂问题的研究大都假设材料性质为坐标的指数函数或幂函数，而对其它函数形式较少采用。本文假设功能梯度材料剪切模量为坐标的双曲函数，而泊松比为常量，研究功能梯度板条的混合型裂纹问题。利用Fourier积分变换技术将混合边值问题转化为一对奇异积分方程，通过数值求解奇异积分方程获得含裂纹功能梯度板条分别在剪切和法向载荷作用下的I型和Ⅱ型应力强度因子，并讨论了材料的非均匀性和裂纹相对尺寸对裂纹尖端应力强度因子的影响。
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| 关 键 词： | 功能梯度材料 断裂 应力强度因子 平面变形 |
| 文章编号： | 0254-0053（2005）04-544-5 |
| 收稿时间： | 2005-04-30 |
| 修稿时间： | 2005-04-30 |
Fracture Analysis of a Functionally Graded Strip |
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| CHENG Zhan-qi, ZHONG Zheng. Fracture Analysis of a Functionally Graded Strip[J]. Chinese Quarterly Mechanics, 2005, 26(4): 544-548 |
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| Authors: | CHENG Zhan-qi ZHONG Zheng |
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| Affiliation: | 1 School of Aerospace Engineering and Applied mechanics, Tongji University, Shanghai 200092,China; 2 Collage of Civil Engineering, Zhengzhou University, Zhengzhou 450002, China |
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| Abstract: | In the existing paper, most researchers assume that the material properties of functionally graded material are in accordance with the exponential function or power function of coordinate. The fracture problem of a functionally graded strip was studied by assuming that the shear modulus is a hyperbolic function of coordinate, while possion's ratio is constant. The mixed boundary problem was reduced to a system of singular integral equations by means of Fourier transform. The mode I and fl stress intensity factors were obtained by solving the singular integral equations. Moreover the effect of the material inhomogene-ity and the crack size on the stress intensity factors was disscussed. |
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| Keywords: | functionally graded materials fracture stress intensity factor plane deformation |
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