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

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Abstract

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.

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Author information

Authors and Affiliations

  1. Shanghai Institute of Applied Mathematics and Mechanics, and Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai University, Shanghai, 200072, China

    Jie Liu, Yuheng Zhang & Haijian Chu

  2. Department of Mechanics, College of Sciences, Shanghai University, Shanghai, 200444, China

    Haijian Chu

Authors
  1. Jie Liu
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  2. Yuheng Zhang
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  3. Haijian Chu
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Correspondence to Haijian Chu.

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Project supported by the National Natural Science Foundation of China (No. 11672173), the Shanghai Eastern-Scholar Plan, and the Innovation Program of Shanghai Municipal Education Commission

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Liu, J., Zhang, Y. & Chu, H. Modeling core-spreading of interface dislocation and its elastic response in anisotropic bimaterial. Appl. Math. Mech.-Engl. Ed. 38, 231–242 (2017). https://doi.org/10.1007/s10483-017-2163-9

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  • DOI: https://doi.org/10.1007/s10483-017-2163-9

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