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On the stress field and crack nucleation behavior of a disclinated nanowire with surface stress effects

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Abstract

This paper studies the stress field and crack nucleation behavior in a disclinated nanowire with a continuum model. The surface stress effects of the nanowire is accounted for with the Gurtin-Murdoch model. The Green’s functions for the stress fields of a single wedge disclination and a single edge dislocation in a cylindrical nanowire are solved respectively with the complex variable method. To make the superposition principle valid, the stress field induced by the residual surface tension is properly handled in the Green’s functions. After that, the distributed dislocation method is applied to simulate the crack nucleation behavior. The influences of the surface stress effects on the stress fields of the wedge disclination and edge dislocation as well as on the Griffith crack nucleation behavior are systematically discussed.

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Authors and Affiliations

  1. Department of Mechanics, Huazhong University of Science and Technology, Wuhan, 430074, Hubei Province, People’s Republic of China

    Jun Luo & Zhenhuan Li

  2. Hubei Key Laboratory for Engineering Structural Analysis and Safety Assessment, 1037 Luoyu Road, Wuhan, 430074, People’s Republic of China

    Jun Luo & Zhenhuan Li

  3. School of Mechanical and Aerospace Engineering, Nanyang Technological University, Nanyang Avenue, Singapore, Singapore

    Zhongmin Xiao

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  1. Jun Luo
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  2. Zhenhuan Li
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Correspondence to Jun Luo.

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Luo, J., Li, Z. & Xiao, Z. On the stress field and crack nucleation behavior of a disclinated nanowire with surface stress effects. Acta Mech 225, 3187–3197 (2014). https://doi.org/10.1007/s00707-014-1104-6

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  • DOI: https://doi.org/10.1007/s00707-014-1104-6

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