Applied Mathematics and Mechanics (English Edition) ›› 2008, Vol. 29 ›› Issue (5): 625-638 .doi: https://doi.org/10.1007/s10483-008-0507-7
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LIU You-wen, LI Bo, FANG Qi-hong
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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.
Key words: anisotropic bimaterials, moving screw dislocation, interfacial rigid lines, image force
2010 MSC Number:
O343.7
30B40
74A40
74A60
LIU You-wen;LI Bo;FANG Qi-hong. A moving screw dislocation near interfacial rigid lines in two dissimilar anisotropic media. Applied Mathematics and Mechanics (English Edition), 2008, 29(5): 625-638 .
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URL: https://www.amm.shu.edu.cn/EN/10.1007/s10483-008-0507-7
https://www.amm.shu.edu.cn/EN/Y2008/V29/I5/625