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Analytic solution to nonlocal Peirtls-Nabarro models Gao, Yuan
Description
The Peierls-Nabarro model was first introduced by Peierls Nabarro to describe the continuum model of dislocation in materials. It incorporates the atomic effect into the continuum framework and give us an understanding of dislocation core structure. Our main goal is to determine the displacement in the whole space using Perierls-Nabarro (PN) model, which incorporates the atomic effect into the continuum framework. We focus on the existence of analytic solution to Peierls-Nabarro model including stationary model and dynamic model. Since we incorporate the misfit surface energy into total energy of the system, which leads to a nonlinear boundary condition, the strategy is to first decouple the displacement field and then to uniquely solve a nonlocal equation on boundary.
Item Metadata
Title |
Analytic solution to nonlocal Peirtls-Nabarro models
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2018-06-20T11:00
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Description |
The Peierls-Nabarro model was first introduced by Peierls Nabarro to describe the continuum model of dislocation in
materials.
It incorporates the atomic effect into the continuum framework and give us an understanding of dislocation core structure. Our main
goal is to determine the displacement in the whole space using Perierls-Nabarro (PN) model, which incorporates the atomic effect
into the continuum framework. We focus on the existence of analytic solution to Peierls-Nabarro model including stationary model
and dynamic model. Since we incorporate the misfit surface energy into total energy of the system, which leads to a nonlinear
boundary condition, the strategy is to first decouple the displacement field and then to uniquely solve a nonlocal equation on
boundary.
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Extent |
27.0
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: The Hong Kong University of Science and Technology
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Series | |
Date Available |
2019-03-15
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0376908
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Postdoctoral
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International