NDLI: Bauschinger and size effects in thin-film plasticity due to defect-energy of geometrical necessary dislocations

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Bauschinger and size effects in thin-film plasticity due to defect-energy of geometrical necessary dislocations

Content Provider	Semantic Scholar
Author	Liu, Zhanli Zhuang, Zhuo Zhao, Xue-Chuan Gao, Yuan Fei
Copyright Year	2011
Abstract	The Bauschinger and size effects in the thin-film plasticity theory arising from the defect-energy of geometrically necessary dislocations (GNDs) are analytically investigated in this paper. Firstly, this defect-energy is deduced based on the elastic interactions of coupling dislocations (or pile-ups) moving on the closed neighboring slip plane. This energy is a quadratic function of the GNDs density, and includes an elastic interaction coefficient and an energetic length scale L. By incorporating it into the workconjugate strain gradient plasticity theory of Gurtin, an energetic stress associated with this defect energy is obtained, which just plays the role of back stress in the kinematic hardening model. Then this back-stress hardening model is used to investigate the Bauschinger and size effects in the tension problem of single crystal Al films with passivation layers. The tension stress in the film shows a reverse dependence on the film thickness h. By comparing it with discrete-dislocation simulation results, the length scale L is determined, which is just several slip plane spacing, and accords well with our physical interpretation for the defectenergy. The Bauschinger effect after unloading is analyzed by combining this back-stress hardening model with a friction model. The effects of film thickness and pre-strain on the reversed plastic strain after unloading are quantified and qualitatively compared with experiment results.
Starting Page	266
Ending Page	276
Page Count	11
File Format	PDF HTM / HTML
DOI	10.1007/s10409-011-0428-x
Volume Number	27
Alternate Webpage(s)	https://page-one.springer.com/pdf/preview/10.1007/s10409-011-0428-x
Alternate Webpage(s)	https://doi.org/10.1007/s10409-011-0428-x
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article

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