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Continuum modeling of dislocation interactions: why discreteness matters?

journal contribution
posted on 19.06.2014 by Anish Roy, R.H.J. Peerlings, M.G.D. Geers, Y. Kasyanyuk
Continuum frameworks of dislocation-based plasticity theories are gaining prominence in the research community. In these theories, the underlying discrete lattice defects are represented by an averaged continuous description of a signed dislocation density. The long-range stress fields are accurately characterized but the short-range interactions are modeled phenomenologically. In this paper, we demonstrate by a rigorous analysis that short-range interactions resulting from certain aspects of the underlying discreteness cannot be neglected. An idealized problem of dislocation pile-ups against a hard obstacle is used to illustrate this observation. It is also demonstrated that the modeling of short-range interactions by a local gradient of dislocation distribution has limitations. It is realized that even though the stress contribution for distant dislocations is relatively small, it is the accumulation of these stress contributions from numerous such dislocations which culminates in substantial contributions. It would be inaccurate to neglect these effects. Our benchmark problem can be used for calibration of current and future theories of plasticity that attempt to accurately model short-range interactions.

History

School

  • Mechanical, Electrical and Manufacturing Engineering

Published in

Materials Science and Engineering: A

Volume

486

Pages

653 - 661

Citation

ROY, A. ... et al, 2008. Continuum modeling of dislocation interactions: why discreteness matters? Materials Science and Engineering: A, 486 (1-2), pp. 653 - 661

Publisher

© Elsevier

Version

VoR (Version of Record)

Publication date

2008

Notes

This article is closed access, it was published in the journal Materials Science and Engineering: A [© Elsevier]. The definitive version is available at: http://dx.doi.org/10.1016/j.msea.2007.09.074

ISSN

0921-5093

Language

en

Exports