| 纵向剪切下含共焦刚性核弹性椭圆夹杂中的螺型位错干涉 |
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| 引用本文： | 蒋纯志, 刘又文, 谢超. 纵向剪切下含共焦刚性核弹性椭圆夹杂中的螺型位错干涉[J]. 固体力学学报, 2011, 32(6): 638-645. |
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| 作者姓名： | 蒋纯志 刘又文 谢超 |
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| 作者单位： | 湖南大学汽车车身先进设计制造国家重点实验室,长沙,410082;湖南大学机械与运载工程学院,长沙,410082;湘南学院物理与电子信息工程系,郴州,423000; 湖南大学汽车车身先进设计制造国家重点实验室,长沙,410082;湖南大学机械与运载工程学院,长沙,410082; 湖南大学汽车车身先进设计制造国家重点实验室,长沙,410082;湖南大学机械与运载工程学院,长沙,410082 |
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| 基金项目： | 国家自然科学基金项目，实验室自主课 |
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| 摘 要： | 研究了无穷远纵向剪切下无限大基体中含共焦刚性核弹性椭圆夹杂内任意位置螺型位错的干涉问题.运用复变函数保角映射、解析延拓等方法,获得了基体与夹杂区域的应力场的级数形式精确解,并得出了位错像力的解析表达式,导出了纵向剪切下两椭圆界面最大应力及其比值公式.在此基础上,分析和讨论了夹杂内部刚性核对位错与夹杂之间干涉的扰动效应,以及椭圆夹杂尺度对位错像力的影响规律.
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| 关 键 词： | 螺型位错 椭圆刚性核 椭圆夹杂 复变函数方法 位错力 |
| 收稿时间： | 2010-04-30 |
THE INTERACTION BETWEEN A SCREW DISLOCATION INSIDE THE INHOMOGENEITY AND AN ELASTIC ELLIPTICAL INHOMOGENEITY WHICH CONTAINS A CONFOCALRIGID CORE UNDER LONGITUDINAL SHEAR |
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| Chunzhi Jiang, Youwen Liu, Chao Xie. THE INTERACTION BETWEEN A SCREW DISLOCATION INSIDE THE INHOMOGENEITY AND AN ELASTIC ELLIPTICAL INHOMOGENEITY WHICH CONTAINS A CONFOCALRIGID CORE UNDER LONGITUDINAL SHEAR[J]. Chinese Journal of Solid Mechanics, 2011, 32(6): 638-645. |
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| Authors: | Chunzhi Jiang Youwen Liu Chao Xie |
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| Abstract: | Abstract The interaction between a screw dislocation inside the inhomogeneity and an elastic elliptical inhomogeneity which contains a confocal rigid core under longitudinal shear is investigated. By using the technical of conformal mapping and the method of analytic continuation, the stress fields of matrix and inhomogeneity is obtained explicitly in the series form, and the image force acting on the screw dislocation is obtained. The maximum interfacial stresses and the ratio of the two elliptical interfaces under longitudinal shear are calculated. As a result, the analysis and discussion show that the influence of the rigid core on the interaction effects between a screw dislocation and an elliptical inhomogeneity is significant. It can repel the dislocation , and make it reach the interface of the elastic inclusion constantly when the inhomogeneity is stiff. If the inhomogeneity is soft, there is a stable equilibrium position. As the dislocation is in between the rigid core and the stable equilibrium position , the dislocation will shift near the interface of the elastic inclusion. When the dislocation is in between the stable equilibrium position and the interface of the elastic inclusion , the dislocation will leave away from the interface. The result also show that the ratio of the long and short axes of the inhomogeneity has the noticeable influence on the interaction between the screw dislocation and the inhomogeneity. When the dislocation is on the nearby rigid core, the repulsive force of the core to the dislocation decreased significantly with the ratio of the long and short axes of the inhomogeneity decreases. |
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