Modeling core-spreading of interface dislocation and its elastic response in anisotropic bimaterial

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• 作者：Jie Liu ; Yuheng Zhang ; Haijian Chu
• 关键词：interface dislocation ; core spreading ; elastic field ; anisotropic bimaterial
• 刊名：Applied Mathematics and Mechanics
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：38
• 期：2
• 页码：231-242
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Applications of Mathematics; Classical Mechanics; Mathematical Modeling and Industrial Mathematics;
• 出版者：Shanghai University
• ISSN：1573-2754
• 卷排序：38

文摘

Interfacial dislocation may have a spreading core corresponding to a weak shear resistance of interfaces. In this paper, a conic model is proposed to mimic the spreading core of interfacial dislocation in anisotropic bimaterials. By the Stroh formalism and Green’s function, the analytical expressions of the elastic fields are deduced for such a dislocation. Taking Cu/Nb bimaterial as an example, it is demonstrated that the accuracy and efficiency of the method are well validated by the interface conditions, a spreading core can greatly reduce the stress intensity near the interfacial dislocation compared with the compact core, and the elastic fields near the spreading core region are significantly different from the condensed core, while they are less sensitive to a field point that is 1.5 times the core width away from the center of the spreading core.