Multiscale Modeling of Nanocrystalline Materials: A Variational Approach

Birkle, Manuel
Gürses, Ercan
Miehe, Christian
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.
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: