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Screw dislocation pileups against a bimaterial interface incorporating surface elasticity

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Abstract

Using the method of continuously distributed dislocations, we study the distribution of a pileup of screw dislocations against an interface between two elastic half-planes. We incorporate surface elasticity on the bimaterial interface using the continuum-based surface/interface model of Gurtin and Murdoch. The equilibrium condition is formulated in terms of a singular integral equation. The singular integral equation is solved numerically using the Gauss–Chebyshev integration formula to arrive at the dislocation distribution function and the number of dislocations in the pileup.

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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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Communicated by Andreas Öchsner.

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Wang, X., Schiavone, P. Screw dislocation pileups against a bimaterial interface incorporating surface elasticity. Continuum Mech. Thermodyn. 34, 1545–1552 (2022). https://doi.org/10.1007/s00161-022-01144-1

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