Abstract
Phase field model for simulating microstructure formation of metallic materials is introduced. This model is consistent with various kinds of physical and chemical energetics, and has been spread for various purposes. In this article, the coupling with the mechanics is focused, and microscopic stress distributions in several complicated microstructures, such as dendrite, cellular structure, and polycrystalline structures, are presented. The coupled method is also extended to the multiphase-field model, and the stress dependency of the microstructure morphology in polycrystalline materials is demonstrated. These numerical methods are expected to be applied to the material and process design in practical engineering purposes.
