Simulations of micro-bending of thin foils using a scale dependent crystal plasticity model

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In this paper, we perform crystal plasticity analyses of micro-bending of thin f.c.c. metal foils having thicknesses ranging from 10 to 50 micrometers. The scale dependent crystal plasticity model used here is a viscoplastic finite strain version of the model proposed by Ohashi (International Journal of Plasticity 21 (2005) 2071-2088), in which the mean free path of moving dislocations is determined by a function of the densities of statistically stored dislocations and geometrically necessary dislocations, while the slip resistance for each slip system is determined only by the density of statistically stored dislocations through a Bailey-Hirsch type relation. The computational results are compared with experimental results for Ni foils, reported in Stolken and Evans (Acta Materialia 46 (1998) 5109-5115). Validity of the current model and a direction of future development of the "physically-based" scale dependent crystal plasticity models are discussed.

(c)Institute of Physics and IOP Publishing Limited 2008

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