A phase-field model of grain boundary motion

被引：0
|
作者：
Akio Ito
Nobuyuki Kenmochi
Noriaki Yamazaki
机构：
[1] Kinki University,Department of Electronic Engineering and Computer Science, School of Engineering
[2] Chiba University,Department of Mathematics, Faculty of Education
[3] Muroran Institute of Technology,Department of Mathematical Science, Common Subject Division
来源：
Applications of Mathematics | 2008年 / 53卷
关键词：
grain boundary motion; singular diffusion; subdifferential;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider a phase-field model of grain structure evolution, which appears in materials sciences. In this paper we study the grain boundary motion model of Kobayashi-Warren-Carter type, which contains a singular diffusivity. The main objective of this paper is to show the existence of solutions in a generalized sense. Moreover, we show the uniqueness of solutions for the model in one-dimensional space.
引用
收藏
相关论文
共 50 条
  • [41] Existence of Solutions to a Phase-Field Model of 3D Grain Boundary Motion Governed by a Regularized 1-Harmonic Type Flow
    Moll, Salvador
    Shirakawa, Ken
    Watanabe, Hiroshi
    JOURNAL OF NONLINEAR SCIENCE, 2023, 33 (05)
  • [42] Phase-field model of grain boundary diffusion in nanocrystalline solids: Anisotropic fluctuations, anomalous diffusion, and precipitation
    L'vov, Pavel E.
    Sibatov, Renat T.
    JOURNAL OF APPLIED PHYSICS, 2022, 132 (12)
  • [43] Phase-field model of grain boundary diffusion in nanocrystalline solids: Anisotropic fluctuations, anomalous diffusion, and precipitation
    L'Vov, Pavel E.
    Sibatov, Renat T.
    Journal of Applied Physics, 2022, 132 (12):
  • [44] Phase-field model of isothermal solidification with multiple grain growth
    冯力
    王智平
    朱昌盛
    路阳
    Chinese Physics B, 2009, 18 (05) : 1985 - 1990
  • [45] Phase-field model of isothermal solidification with multiple grain growth
    Feng, Li
    Wang, Zhi-Ping
    Zhu, Chang-Sheng
    Lu, Yang
    CHINESE PHYSICS B, 2009, 18 (05) : 1985 - 1990
  • [46] Accuracy Evaluation of Phase-field Models for Grain Growth Simulation with Anisotropic Grain Boundary Properties
    Miyoshi, Eisuke
    Takaki, Tomohiro
    Ohno, Munekazu
    Shibuta, Yasushi
    ISIJ INTERNATIONAL, 2020, 60 (01) : 160 - 167
  • [47] Phase-field modeling of grain-boundary premelting using obstacle potentials
    Bhogireddy, V. Sai Pavan Kumar
    Hueter, C.
    Neugebauer, J.
    Steinbach, I.
    Karma, A.
    Spatschek, R.
    PHYSICAL REVIEW E, 2014, 90 (01):
  • [48] A phase-field study on interaction process of moving grain boundary and spinodal decomposition
    Guo Can
    Zhao Yu-Ping
    Deng Ying-Yuan
    Zhang Zhong-Ming
    Xu Chun-Jie
    ACTA PHYSICA SINICA, 2022, 71 (07)
  • [49] A phase-field simulation study of irregular grain boundary migration during recrystallization
    Moelans, N.
    Zhang, Y. B.
    Godfrey, A.
    Jensen, D. Juul
    36TH RISO INTERNATIONAL SYMPOSIUM ON MATERIALS SCIENCE, 2015, 89
  • [50] Insight into void formation near grain boundary from phase-field simulations
    Wang, Yuanyuan
    Ding, Jianhua
    Zhao, Jijun
    NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION B-BEAM INTERACTIONS WITH MATERIALS AND ATOMS, 2019, 453 : 50 - 55
12345