A computationally efficient implementation of continuum dislocation dynamics: Formulation and application to ultrafine-grained Mg polycrystals

Luo X, Zaiser M (2023)


Publication Type: Journal article

Publication year: 2023

Journal

Book Volume: 172

Article Number: 105166

DOI: 10.1016/j.jmps.2022.105166

Abstract

Continuum dislocation dynamics (CDD) represents the evolution of systems of curved and connected dislocation lines in terms of density-like field variables which include the volume density of loops (or ’curvature density’) as an additional field. Since dislocation curvature represents a spatial derivative of the underlying discrete dislocation density tensor, the curvature field evolution equation of necessity contains numerically inconvenient higher-order derivatives of the density fields. We propose a simple approximation to express curvature in terms of density fields, and demonstrate its application to a benchmark problem in deformation of Mg polycrystals.

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APA:

Luo, X., & Zaiser, M. (2023). A computationally efficient implementation of continuum dislocation dynamics: Formulation and application to ultrafine-grained Mg polycrystals. Journal of the Mechanics and Physics of Solids, 172. https://dx.doi.org/10.1016/j.jmps.2022.105166

MLA:

Luo, Xi, and Michael Zaiser. "A computationally efficient implementation of continuum dislocation dynamics: Formulation and application to ultrafine-grained Mg polycrystals." Journal of the Mechanics and Physics of Solids 172 (2023).

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