Formulation of the Coupling Effects among Phase, Temperature and Stress by Using the Phase Field Model

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  • UEHARA Takuya
    Department of Computational Science and Engineering, Nagoya University
  • TSUJINO Takahiro
    京都大学大学院エネルギー科学研究科 新日本製鐵 (株)

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  • フェーズフィールドモデルを用いた変態‐熱‐応力連成解析の定式化
  • フェーズフィールド モデル オ モチイタ ヘンタイ ネツ オウリョクレンセイカイセキ ノ テイシキカ

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Abstract

Fundamental equations for the simulation of phase transformation process by using the phase field model is derived. Compared to the conventional metallo-thermo-mechanical coupling equations, based on the volume fractions of every phases, the advantage of the phase field model is that this model can treat a dynamic evolution of the two-phase interface. Therefore, complicated stress distribution in the microstructure formed by heat treatment can be simulated. The derivation is achieved based on Gibbs free energy definition and the second law of the thermodynamics. The phase field equation includes the effect of stress-induced transformation as well as thermally driven transformation. In the stress-strain relationship, the elasto-plastic behavior is considered, which enables the evaluation of the residual stress distribution in the microstructure.

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