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Effect of cooperative grain boundary sliding and migration on dislocation emitting from a semi-elliptical blunt crack tip in nanocrystalline solids

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Abstract

A theoretical model is established to investigate the interaction between the cooperative grain boundary (GB) sliding and migration and a semi-elliptical blunt crack in deformed nanocrystalline materials. By using the complex variable method, the effect of two disclination dipoles produced by the cooperative GB sliding and migration process on the emission of lattice dislocations from a semi-elliptical blunt crack tip is explored. Closed-form solutions for the stress field and the force acting on the dislocation are obtained in complex form, and the critical stress intensity factors for the first dislocation emission from a blunt crack under mode I and mode II loadings are calculated. Then, the influence of disclination strength, curvature radius of blunt crack tip, crack length, locations and geometry of disclination dipoles, and grain size on the critical stress intensity factors is presented detailedly. It is shown that the cooperative GB sliding and migration and the grain size have significant influence on the dislocation emission from a blunt crack tip.

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Authors and Affiliations

  1. State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha, 410082, Hunan, People’s Republic of China

    Min Yu, Qihong Fang, Hui Feng & Youwen Liu

  2. College of Civil Engineering and Mechanics, Central South University of Forestry and Technology, Changsha, 410004, Hunan, People’s Republic of China

    Min Yu

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  1. Min Yu
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Correspondence to Qihong Fang.

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Yu, M., Fang, Q., Feng, H. et al. Effect of cooperative grain boundary sliding and migration on dislocation emitting from a semi-elliptical blunt crack tip in nanocrystalline solids. Acta Mech 225, 2005–2019 (2014). https://doi.org/10.1007/s00707-013-1039-3

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  • DOI: https://doi.org/10.1007/s00707-013-1039-3

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