Elasto-plastic simulation of stress evolution during grain growth using a phase field model

• Published in: Journal of crystal growth Vol. 300; no. 2; pp. 530 - 537
• Main Authors: Uehara, Takuya, Tsujino, Takahiro, Ohno, Nobutada
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier B.V 01.03.2007; Elsevier
• Subjects: A1. Computer simulation; A1. Grain boundary; A1. Phase field model; A1. Polycrystal; A1. Stress; Condensed matter: structure, mechanical and thermal properties; Constant-composition solid-solid phase transformations: polymorphic, massive, and order-disorder; Cross-disciplinary physics: materials science; rheology; Defects and impurities in crystals; microstructure; Exact sciences and technology; Grain and twin boundaries; Materials science; Phase diagrams and microstructures developed by solidification and solid-solid phase transformations; Physics; Structure of solids and liquids; crystallography; Thermal expansion; thermomechanical effects and density; Thermal properties of condensed matter; Thermal properties of crystalline solids; 62.20.Fe; A1. Grain boundary; A1. Stress; A1. Phase field model; A1. Computer simulation; 81.40.Lm; A1. Polycrystal; 81.10.Jt; 46.15.−x; Grain boundaries; Phase field model; Stress analysis; A1. Computer simulation; A1. Grain boundary; Al. Phase field model; Al. Polycrystal; Al. Stress; Grain growth; Phase transformations; Digital simulation; Polycrystals; Computerized simulation; 81.10.Jt; 62.20.Fe; 81.40.Lm; 46.15.-x; Residual stresses; Interfaces; Finite element method; Growth from solid state; Thermal expansion; Stress distribution; Stress effects; Thermal analysis; Thermal stresses
• ISSN: 0022-0248; 1873-5002
• DOI: 10.1016/j.jcrysgro.2006.12.045

Coupling effects among phase transformation, temperature and stress/strain are formulated based on thermodynamics using a phase field model. The elasto-plastic constitutive relationship is applied for stress analysis considering thermal expansion, transformation dilatation, and the effect of stress on phase transformation is included in the formulation. Subsequently, equations are numerically solved using a finite element method and stress evolution due to phase transformation and residual stress distribution are simulated. The results obtained show that large stresses are generated around phase interfaces. The high-stress regions move as grains grow, and finally residual stress distribution is observed along grain boundaries. The distribution and values at the grain boundaries are revealed to depend on the timing of collision and positioning of nuclei.