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A semi-discrete line-free method of monopoles for dislocation dynamics

Ariza, M. P. and Ortiz, M. (2021) A semi-discrete line-free method of monopoles for dislocation dynamics. Extreme Mechanics Letters, 45 . Art. No. 101267. ISSN 2352-4316. doi:10.1016/j.eml.2021.101267.

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We develop a semi-discrete particle method for Volterra dislocation currents in which the particles, or monopoles, represent an element of line and carry a Burgers vector. The monopoles move according to mobility kinetics driven by elastic and applied forces. The divergence constraint of Volterra dislocation currents is enforced weakly through mesh-free interpolation and an explicit linear connectivity, or ‘sequence’, between the monopoles need not be defined. In this sense, the method is ‘line-free’, i. e., it sidesteps the need to track dislocation lines. This attribute offers significant computational advantages in terms of simplicity, robustness and efficiency, especially as regards the tracking of complex dislocation patterns, including topological transitions. We illustrate the range and scope of the method, by means of an example of application concerned with the plastic hardening of nano-sized grains under monotonic loading.

Item Type:Article
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URLURL TypeDescription
Ariza, M. P.0000-0003-0266-0216
Ortiz, M.0000-0001-5877-4824
Additional Information:© 2021 Published by Elsevier Ltd. Received 30 September 2020, Revised 14 January 2021, Accepted 21 January 2021, Available online 13 March 2021. This work has been partially funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) via project 211504053 - SFB 1060 and project 390685813 - GZ 2047/1 - HCM, and the Ministerio de Ciencia, Innovación y Universidades of Spain under grant number RTI2018-094325-B-I00. The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.
Funding AgencyGrant Number
Deutsche Forschungsgemeinschaft (DFG)211504053 - SFB 1060
Deutsche Forschungsgemeinschaft (DFG)390685813 - GZ 2047/1
Ministerio de Ciencia, Innovación y Universidades (MCIU)RTI2018-094325-B-I00
Subject Keywords:Dislocation dynamics; Dislocation transport; Discrete dislocations; Method of monopoles; Particle methods
Record Number:CaltechAUTHORS:20210317-151949384
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Official Citation:M.P. Ariza, M. Ortiz, A semi-discrete line-free method of monopoles for dislocation dynamics, Extreme Mechanics Letters, Volume 45, 2021, 101267, ISSN 2352-4316, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:108471
Deposited By: Tony Diaz
Deposited On:19 Mar 2021 00:24
Last Modified:19 Apr 2021 23:45

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