TEXTURE PREDICTIONS USING A POLYCRYSTAL PLASTICITY MODEL INCORPORATING NEIGHBOR INTERACTIONS

A viscoplastic model is presented for distributing the deformation app lied to a polycrystal in a non-uniform fashion among the constituent c rystals. Interactions with surrounding crystals are incorporated in th e calculation of the deformation rate of each crystal through an appro priately defined local neighborhood. A compliance tensor is computed f or each crystal based on a viscoplastic constitutive relation for defo rmation by crystallographic slip. The compliance of the crystal relati ve to that of its neighborhood provides a means for partitioning the m acroscopic deformation rate among the crystals. The deviation of the c rystal deformation rate from the macroscopic value is suitably scared to obtain the crystal spin. Polycrystal simulations of crystallographi c texture development using this model are compared to the results of similar calculations using the Taylor model, to finite element simulat ions of a model polycrystal, and to experimental data. The model incor porating neighbor interactions is shown to result in improved texture predictions, in terms of both the intensity levels and the locations o f certain texture components. Copyright (C) 1996 Elsevier Science Ltd