書誌事項
- タイトル別名
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- Development of Phase-Field Model for Recrystallization Based on Conservation Laws
抄録
We modeled previously a crystal lattice as an elastic bar with equivalent atom mass. Applying such a lattice model to recrystallization phenomena, we developed conservation laws of mass, momentum, angular momentum and energy for mixture consisting of recrystallized phase and matrix. Also, the increase law of entropy for mixture was obtained. However, in the previous works, only general principles are formulated and material properties are not introduced into them. Moreover, it is still unclear which conservation laws are corresponding to the governing equations of phase-field models. In this paper, balance equations of mass for single phase and spin angular momentum are rewritten by use of order parameter and crystal orientation, respectively. Constitutive equations for fluxes of order parameter and crystal orientation are thermodynamically derived so that the entropy inequality is not violated. Substituting the constitutive equations of flux into the balance equations, basic equations are obtained. In these equations, the mass source term and diffusion coefficients are modeled so as to synchronize with the temporal change of grain boundary energy. Neglecting the conservative term of the equation of crystal orientation and then integrating it with respect to time, three-dimensional KWC type phase-field equations are derived. Finally, reducing the obtained equations to two-dimensional ones, it is shown that the present equations result in the conventional KWC type phase-field model.
収録刊行物
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- 日本機械学会論文集Ａ編
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日本機械学会論文集Ａ編 78 (791), 1065-1078, 2012
一般社団法人 日本機械学会
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詳細情報 詳細情報について
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- CRID
- 1390282679455923072
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- NII論文ID
- 130002050326
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- ISSN
- 18848338
- 03875008
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- 本文言語コード
- ja
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- データソース種別
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- JaLC
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- CiNii Articles
- KAKEN
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- 抄録ライセンスフラグ
- 使用不可
