| 多圆形刚性夹杂的反平面问题 |
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| 引用本文： | 杨班权,刘又文,薛孟君. 多圆形刚性夹杂的反平面问题[J]. 应用力学学报, 2003, 20(2): 64-67 |
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| 作者姓名： | 杨班权 刘又文 薛孟君 |
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| 作者单位： | 1. 装甲兵工程学院机械工程系工程力学室,北京,100072
2. 湖南大学工程力学系,长沙,410082 |
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| 摘 要： | 构造任意分布且相互影响的多个圆形刚性夹杂模型的复应力函数，采用复变函数方法，达到满足各个夹杂的边界条件，利用坐标变换和围线积分将求解方程组化为线性代数方程组，推导出了圆形刚性夹杂任意分布的界面应力解析表达式，算例对多夹杂与单夹杂两种模型的界面应力最大值进行了对比，同时还给出了界面应力最大值随夹杂间距的变化规律，求出了刚性夹杂的合理间距。本文发展的分析方法为研究夹杂材料的细观机理探索了一条有效的分析途径。
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| 关 键 词： | 材料科学 多圆形刚性夹杂 复合材料 反平面弹性 复变函数 界面应力 夹杂间距 材料力学 |
| 文章编号： | 1000-4939(2003)02-0064-04 |
| 修稿时间： | 2002-03-25 |
The Anti-Plane Problem on Composite Materials with Multiple Circular Rigid Inclusions |
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| Yang Banquan Liu Youwen Xue Mengjun. The Anti-Plane Problem on Composite Materials with Multiple Circular Rigid Inclusions[J]. Chinese Journal of Applied Mechanics, 2003, 20(2): 64-67 |
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| Authors: | Yang Banquan Liu Youwen Xue Mengjun |
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| Affiliation: | Yang Banquan 1 Liu Youwen 2 Xue Mengjun 1 |
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| Abstract: | According to the principle of interaction among the inclusions in the composite micro mechanics, complex stress functions that reflect the interaction of multiple circular rigid inclusions randomly distributed in the isotropic martix are constructed by the means of coordinate transformation, then boundary condition of every inclusion is satisfied. By circulation integral, the linear algebraic equations are solved. Under the load of anti plane shear in the infinite plane of isotropic elastic matrix, the interface stress formula, the numerical results and the graph, which reflect that interface stress maximum varies with the distance between the adjacent inclusions, are obtained. |
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| Keywords: | circular rigid inclusions randomly distributed elastic plane interface stress maximum distance between the adjacent inclusions. |
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