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A Relay-Zone Technique for Computing Dynamic Dislocations

Tang, S. Q. and Liu, W. K. and Karpov, E. G. and Hou, T. Y. (2007) A Relay-Zone Technique for Computing Dynamic Dislocations. In: Computational Mechanics. Springer , Berlin, p. 228. ISBN 978-3-540-75998-0. https://resolver.caltech.edu/CaltechAUTHORS:20190820-155926497

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Abstract

We propose a multiscale method for simulating solids with moving dislocations. Away from atomistic subdomains where the atomistic dynamics are fully resolved, a dislocation is represented by a localized jump profile, superposed on a defect-free field. We assign a thin relay zone around an atomistic subdomain to detect the dislocation profile and its propagation speed at a selected relay time. The detection technique utilizes a lattice time history integral treatment. After the relay, an atomistic computation is performed only for the defect-free field. The method allows one to effectively absorb the fine scale fluctuations and the dynamic dislocations at the interface between the atomistic and continuum domains. In the surrounding region, a coarse grid computation is adequate. We illustrate the algorithm for a 1D Frenkel-Kontorova model at finite temperature. By comparison of the numerical results in the following figure, the reflection is absorbed by the proposed relay-zone technique.


Item Type:Book Section
Related URLs:
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https://doi.org/10.1007/978-3-540-75999-7_28DOIArticle
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Additional Information:© 2007 Tsinghua University Press & Springer.
Record Number:CaltechAUTHORS:20190820-155926497
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20190820-155926497
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:98052
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:20 Aug 2019 23:06
Last Modified:05 May 2020 18:46

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