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Screw dislocation pileups at a coated circular inhomogeneity

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Abstract

We use the method of continuously distributed dislocations to study the distribution of screw dislocations in a single-ended linear array piled up against a coated circular inhomogeneity under uniform remote anti-plane shear stress. A singular integral equation is derived and solved numerically using the Gauss–Chebyshev integration formula to arrive at the dislocation distribution function and the number of dislocations in the pileup. In addition, we use the proposed solution method to solve the case corresponding to a double-ended pileup of screw dislocations against a coated circular inhomogeneity.

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Acknowledgements

This work is supported by a Discovery Grant from the Natural Sciences and Engineering Research Council of Canada (Grant No: RGPIN—2017—03716115112).

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Authors and Affiliations

  1. School of Mechanical and Power Engineering, East China University of Science and Technology, 130 Meilong Road, Shanghai, 200237, China

    Xu Wang

  2. Department of Mechanical Engineering, University of Alberta, 10-203 Donadeo Innovation Centre for Engineering, Edmonton, AB, T6G 1H9, Canada

    Peter Schiavone

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  1. Xu Wang
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  2. Peter Schiavone
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Correspondence to Xu Wang or Peter Schiavone.

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Wang, X., Schiavone, P. Screw dislocation pileups at a coated circular inhomogeneity. Acta Mech 233, 2149–2160 (2022). https://doi.org/10.1007/s00707-022-03214-6

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  • DOI: https://doi.org/10.1007/s00707-022-03214-6

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