Study on Stress Inhomogeneity in Finite Element Model of Polycrystal at Non-uniform Uniaxial Tension
Abstract
Study on Stress Inhomogeneity in Finite Element Model of Polycrystal at Non-uniform Uniaxial Tension
Incoming article date: 12.02.2019The paper deals with the results of study on the degrees of stress inhomogeneity caused by interaction between differently oriented crystalline grains in macrovolumes in case of non-uniform uniaxial tension. Calculation of finite element volume consisting of forty grains is performed. It has been revealed that the quantity of forty grains is enough for constituting the smallest body volume, which can be assumed to have the averaged properties of a macrovolume. Directions of crystallographic axes were selected randomly. Calculations were performed for various metals with cubic and hexagonal lattices. Based on the results of calculations, the curves of normal stresses in the central cross-section of the elementary volume were constructed. It has been found that the significant exceedance of normal stress values is possible in comparison to the values calculated for quasi-isotropic fine-grain material. Dependence between the degree of stress inhomogeneity and the degree of anisotropy of elastic properties has been demonstrated
Keywords: microvolume, macrovolume, non-uniform tension, degree of stress inhomogeneity