The anisotropic macro-scale mechanical behavior of polycrystalline metals is characterized by incorporating the micro-scale constitutive model of single crystal plasticity into the two-scale modeling based on the mathematical homogenization theory.The two-scale simulations are conducted to analyze the macro-scale anisotropy induced by micro-scale plastic deformation of the polycrystalline aggregate.In the simulations,the micro-scale representative volume element (RVE)of a polycrystalline aggregate is uniformly loaded in one direction,unloaded to macroscopically zero stress in a certain stage of deformation and then re-loaded in the different directions.The last re-loading calculations provide different macro-scale responses of the RVE,which can be the appearance of material anisotropy.We then try to examine the effects of the intergranular and intragranular behaviors on the anisotropy by means of various illustrations of plastic deformation process in stead of the use of pole figures for the change of crystallographic orientations.
展开▼
