Multiphase phase field theory for temperature- and stress-induced phase transformations

作     者：Valery I. Levitas Arunabha M. Roy 

作者机构：Iowa State University Departments of Aerospace Engineering Mechanical Engineering and Material Science and Engineering Ames Iowa 50011 USA Iowa State University Department of Aerospace Engineering Ames Iowa 50011 USA 

出 版 物：《Physical Review B》 (物理学评论B辑：凝聚态物质与材料物理学)

年 卷 期：2015年第91卷第17期

页      面：174109-174109页

核心收录：

学科分类：07[理学] 0702[理学-物理学] 

基　　金：Army Research Office, (W911NF-12-1-0340) Defense Advanced Research Projects Agency, (W31P4Q-13-1-0010) National Science Foundation, (DMR-1434613) Office of Naval Research, (N00014-12-1-0525) 

主　　题：THERMODYNAMICS NANOSTRUCTURED materials FINITE element method MARTENSITIC structure MICROSTRUCTURE 

摘      要：Thermodynamic Ginzburg-Landau potential for temperature- and stress-induced phase transformations (PTs) between n phases is developed. It describes each of the PTs with a single order parameter without an explicit constraint equation, which allows one to use an analytical solution to calibrate each interface energy, width, and mobility; reproduces the desired PT criteria via instability conditions; introduces interface stresses; and allows for a controlling presence of the third phase at the interface between the two other phases. A finite-element approach is developed and utilized to solve the problem of nanostructure formation for multivariant martensitic PTs. Results are in a quantitative agreement with the experiment. The developed approach is applicable to various PTs between multiple solid and liquid phases and grain evolution and can be extended for diffusive, electric, and magnetic PTs.