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Continuously
distributed edge dislocations in pileups near a circular
inhomogeneity
Xu Wang and Peter Schiavone
Vol. 10 (2022), No. 1, 75–84
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Abstract |
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We use the theory of continuously distributed dislocations to formulate the static equilibrium condition for an edge dislocation pileup near a circular elastic inhomogeneity 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 edge dislocations in the pileup. In our discussion, either the leading edge or the trailing end of the pileup can be located at the circular interface. |
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Keywords
edge dislocation pileup, circular inhomogeneity,
equilibrium condition, continuous pileup, singular integral
equation, dislocation distribution function
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Mathematical Subject Classification
Primary: 45E99, 74B05, 74E30
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Milestones
Received: 12 January 2022
Revised: 14 January 2022
Accepted: 14 March 2022
Published: 20 October 2022
Communicated by David J. Steigmann
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Authors |
| Xu Wang | |
| School of Mechanical and Power
Engineering East China University of Science and Technology Shanghai China |
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| Peter Schiavone | |
| Department of Mechanical
Engineering University of Alberta Edmonton Canada |
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