Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.jmps.2012.07.005
Title: A crystal plasticity analysis of length-scale dependent internal stresses with image effects
Authors: Aghababaei, R.
Joshi, S.P. 
Issue Date: Dec-2012
Source: 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. https://doi.org/10.1016/j.jmps.2012.07.005
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
URI: http://scholarbank.nus.edu.sg/handle/10635/54046
ISSN: 00225096
DOI: 10.1016/j.jmps.2012.07.005
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