Finite versus small strain discrete dislocation analysis of cantilever bending of single crystals
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Authors
Irani, N
Remmers, JJC
Deshpande, Vikram
Publication Date
2017-08-01Journal Title
Acta Mechanica Sinica/Lixue Xuebao
ISSN
0567-7718
Volume
33
Issue
4
Pages
763-777
Type
Article
This Version
VoR
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Irani, N., Remmers, J., & Deshpande, V. (2017). Finite versus small strain discrete dislocation analysis of cantilever bending of single crystals. Acta Mechanica Sinica/Lixue Xuebao, 33 (4), 763-777. https://doi.org/10.1007/s10409-017-0682-7
Abstract
© 2017, The Author(s). Plastic size effects in single crystals are investigated by using finite strain and small strain discrete dislocation plasticity to analyse the response of cantilever beam specimens. Crystals with both one and two active slip systems are analysed, as well as specimens with different beam aspect ratios. Over the range of specimen sizes analysed here, the bending stress versus applied tip displacement response has a strong hardening plastic component. This hardening rate increases with decreasing specimen size. The hardening rates are slightly lower when the finite strain discrete dislocation plasticity (DDP) formulation is employed as curving of the slip planes is accounted for in the finite strain formulation. This relaxes the back-stresses in the dislocation pile-ups and thereby reduces the hardening rate. Our calculations show that in line with the pure bending case, the bending stress in cantilever bending displays a plastic size dependence. However, unlike pure bending, the bending flow strength of the larger aspect ratio cantilever beams is appreciably smaller. This is attributed to the fact that for the same applied bending stress, longer beams have lower shear forces acting upon them and this results in a lower density of statistically stored dislocations.
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External DOI: https://doi.org/10.1007/s10409-017-0682-7
This record's URL: https://www.repository.cam.ac.uk/handle/1810/270514
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