Multiscale Modeling of Nanocrystalline Materials: A Variational Approach

Date

2011-04-21

Author

Birkle, Manuel
Gürses, Ercan
Miehe, Christian

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This paper presents a variational multi-scale constitutive model in the ﬁnite deformation regime capable of capturing themechanical behavior o f nanocrystalline (nc) fcc metals. The nc-material is modeled as a two-phase material consistin g of agrain interior (GI) phase and a grain boundary (GB) phase. A rate-independent isotropic porous plasticity model is employedto describe the GB p hase, whereas a cryst al - plasticity model which accounts for t he transition from partial disl ocation to fulldislocation mediated plasticity is employed for the GI phase. Assuming th e rule of mixtures, t he overall behavior of a givengrain is obtained via volume averaging. The scale transition from a single grain to a polycrystal is achieved by Taylor-typehomogenization. It is shown that the proposed model is able to capture the inverse Hall-Petch effect.

URI

https://onlinelibrary.wiley.com/doi/epdf/10.1002/pamm.201110247
https://hdl.handle.net/11511/76048

DOI

https://doi.org/10.1002/pamm.201110247

Conference Name

82nd Annual Meeting of Gesellschaft für Angewandte Mathematik und Mechanik (GAMM), (18 - 21 April 2011)

Collections

Department of Aerospace Engineering, Conference / Seminar

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Citation Formats

M. Birkle, E. Gürses, and C. Miehe, “Multiscale Modeling of Nanocrystalline Materials: A Variational Approach,” Graz, Avusturya, 2011, vol. 11, Accessed: 00, 2021. [Online]. Available: https://onlinelibrary.wiley.com/doi/epdf/10.1002/pamm.201110247.