Evolution of Phase Boundaries by Configurational Forces
Evolution of Phase Boundaries by Configurational Forces
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DOI：
10.1007/s00205-007-0054-8
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发表时间：
2007-04
影响因子：
2.5
通讯作者：
H. Alber;P. Zhu
中科院分区：
文献类型：
--
作者：
H. Alber;P. Zhu
研究了马氏体相变材料中相界面演化的初边值问题。该模型是由位形力驱动相界面的尖锐界面模型严格推导而来的，它由线弹性方程和控制序参数演化的双曲型非线性偏微分方程组组成。证明了在一维空间中，序参数属于有界变差函数空间的整体解是存在的。本文还提出了马氏体相变和界面扩散的界面运动模型。
An initial boundary value problem modeling the evolution of phase interfaces in materials showing martensitic transformations is studied. The model, which is derived rigorously from a sharp interface model with phase interfaces driven by configurational forces and which generalizes that model, consists of the equations of linear elasticity coupled with a nonlinear partial differential equation of hyperbolic character governing the evolution of the order parameter. It is proved that in one space dimension, global solutions exist for which the order parameter belongs to the space of functions of bounded variation. Other models for interface motion by martensitic transformations and by interface diffusion are suggested.