任意形状の異方性微視組織を考慮した弾性体の解析

抄録

Usually, various metallic materials are treated as isotropic materials. However, the metallic materials are crystalline solids and each of those crystal grains are anisotropy. In fact, it has been reported that heat affected zone of the welding of modified 9Cr steel causes internal damage. Anisotropic crystal grains of heat affected zone are considered as the cause of internal damage. In this study, stresses and strains are analyzed in the elastic linear region by finite element method considering that each crystal grains are anisotropy. Though, actual crystal grain shapes are complicated, it is needed to simplify the grain shapes for convenient analysis. The crystal grain shapes are simplified into the hexagonal grain model, rectangular grain model, and rhombic grain model. These simplified shape grain models are compared with the actual approximated shape grain model. The comparison is carried out by using the elastic modulus of the entire elastic model. And the stress distributions which are occurred by the difference of the grain shape are compared. In the result, the values of elastic modulus of the entire elastic model that are made of the simplified shape grain model are almost same as the values of elastic modulus of the entire elastic model that are made of the actual approximated shape grain model.