Please use this identifier to cite or link to this item:
Title: A crystal plasticity analysis of length-scale dependent internal stresses with image effects
Authors: Aghababaei, R.
Joshi, S.P. 
Issue Date: Dec-2012
Citation: Aghababaei, R., Joshi, S.P. (2012-12). A crystal plasticity analysis of length-scale dependent internal stresses with image effects. Journal of the Mechanics and Physics of Solids 60 (12) : 2019-2043. ScholarBank@NUS Repository.
Abstract: In this work, we present a stress functions approach to include image effects in continuum crystal plasticity arising from the long-range elastic interactions (LRI) between the GND density and free surfaces. The resulting length-scale dependent internal stresses augment those produced by the GND density variation. The formulation is applied to the case of a long, thin specimen subjected to uniform curvature. The analysis shows that under nominally uniform GND density distribution, internal stresses arise from two sources: (1) GND-GND LRI arising from the finite spatial extent of the uniform GND density field and (2) the LRI between the GND density and free surfaces appearing as image fields. A comparison with experimental results suggests that the length-scale for internal stresses, described as a correlation length-scale, should increase with decreasing specimen thickness. This observation is rationalized by associating the internal length-scale with the average slip-plane spacing, which may increase with decreasing specimen size due to paucity of dislocation sources. Finally, we also discuss the length-scale dependent image stress in terms of the Peach-Koehler force density proposed by Gurtin (2002). © 2012 Elsevier Ltd. All rights reserved.
Source Title: Journal of the Mechanics and Physics of Solids
ISSN: 00225096
DOI: 10.1016/j.jmps.2012.07.005
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.


checked on May 21, 2018


checked on May 7, 2018

Page view(s)

checked on Apr 21, 2018

Google ScholarTM



Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.