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

摘要

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 mu m. The scale dependent crystal plasticity model used here is a viscoplastic finite strain version of the model proposed by Ohashi (2005 Int. J. Plast. 21 2071-88), in which the mean free path of moving dislocations is determined by a function of the densities of statistically stored dislocations (SSDs) and geometrically necessary dislocations (GNDs), while the slip resistance for each slip system is determined only by the density of SSDs through a Bailey-Hirsch type relation. The computational results are compared with the experimental results for Ni foils, reported in Stolken and Evans (1998 Acta Mater. 46 5109-15). The validity of the current model and the direction of future development of the 'physically-based' scale dependent crystal plasticity models are discussed.