Abstract
To evaluate the effect of size of polycrystalline microstructure on a macroscopic non-uniform deformation field, computational simulations of micro- to macroscopic deformations of the polycrystalline metals with different sizes of microstructure were performed using the rate-form second-order homogenization method. For all gauss integration points in the hole-introduced tensile specimen macroscopic model, periodic polycrystalline microstructures, in which the plastic deformation is modeled by the conventional crystalline plasticity theory, were given. For the model with smaller size of microstructure, decrease in macroscopic load was emphasized in the later stage of deformation. In such model, rapid reduction of the cross section around the hole was confirmed. This difference was caused by the deformation of the microstructure, which was strongly characterized by the macroscopic strain gradient and the size of the microstructure.
