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Finite element analysis of discrete circular dislocations

journal contribution
posted on 2017-08-04, 08:31 authored by Konstantinos BaxevanakisKonstantinos Baxevanakis, A.E. Giannakopoulos
The present work gives a systematic and rigorous implementation of (edge type) circular Volterra dislocation loops in ordinary axisymmetric finite elements using the thermal analogue and the integral representation of dislocations through stresses. The accuracy of the proposed method is studied in problems where analytical solutions exist. The full fields are given for loop dislocations in isotropic and anisotropic crystals and the Peach-Koehler forces are calculated for loops approaching free surfaces and bimaterial interfaces. The results are expected to be very important in the analysis of plastic yield strength, giving quantitative results regarding the influence of grain boundaries, interstitial particles, microvoids, thin film constraints and nano-indentation phenomena. The interaction of few dis-locations with various inhomogeneities gives rise to size effects in the yield strength which are of great importance in nano-mechanics.

History

School

  • Mechanical, Electrical and Manufacturing Engineering

Published in

CMES - Computer Modeling in Engineering and Sciences

Volume

60

Issue

2

Pages

181 - 197

Citation

BAXEVANAKIS, K.P. and GIANNAKOPOULOS, A.E., 2010. Finite element analysis of discrete circular dislocations. CMES - Computer Modeling in Engineering and Sciences, 60 (2), pp. 181 - 197.

Publisher

© Tech Science Press

Version

  • AM (Accepted Manuscript)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/

Publication date

2010

Notes

Closed access. This article was published in the journal, Computer Modeling in Engineering and Sciences [© Tech Science Press]. The author's accepted manuscript includes the figures and the published version does not. An Erratum provides the figures in the published version https://dspace.lboro.ac.uk/2134/25966.

ISSN

1526-1492

Language

  • en

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