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A moving screw dislocation near interfacial rigid lines in two dissimilar anisotropic media

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Abstract

This paper attempts to investigate the problem for the interaction between a uniformly moving screw dislocation and interface rigid lines in two dissimilar anisotropic materials. Integrating Riemann-Schwarz’s symmetry principle with the analysis singularity of complex functions, we present the general elastic solutions of this problem and the closed form solutions for interfaces containing one and two rigid lines. The expressions of stress intensity factors at the rigid line tips and image force acting on moving dislocation are derived explicitly. The results show that dislocation velocity has an antishielding effect on the rigid line tip and a larger dislocation velocity leads to the equilibrium position of dislocation closing with the rigid line. The presented solutions contain previously known results as the special cases.

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Authors and Affiliations

  1. College of Mechanics and Aerospace, Hunan University, Changsha, 410082, P. R. China

    You-wen Liu  (刘又文), Bo Li  (李博) & Qi-hong Fang  (方棋洪)

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  1. You-wen Liu  (刘又文)
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  2. Bo Li  (李博)
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  3. Qi-hong Fang  (方棋洪)
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Corresponding author

Correspondence to You-wen Liu  (刘又文).

Additional information

Communicated by FAN Da-jun, original member of Editorial Committee, AMM

Project supported by the National Natural Science Foundation of China (No. 10472030)

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Liu, Yw., Li, B. & Fang, Qh. A moving screw dislocation near interfacial rigid lines in two dissimilar anisotropic media. Appl. Math. Mech.-Engl. Ed. 29, 625–637 (2008). https://doi.org/10.1007/s10483-008-0507-7

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  • DOI: https://doi.org/10.1007/s10483-008-0507-7

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Chinese Library Classification

2000 Mathematics Subject Classification

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