Campus Units

Aerospace Engineering, Materials Science and Engineering, Mechanical Engineering, Ames Laboratory

Document Type

Article

Publication Version

Published Version

Publication Date

5-2015

Journal or Book Title

Physical Review B

Volume

91

Issue

17

First Page

174109

DOI

10.1103/PhysRevB.91.174109

Abstract

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.

Comments

This article is published as Levitas, Valery I., and Arunabha M. Roy. "Multiphase phase field theory for temperature-and stress-induced phase transformations." Physical Review B 91, no. 17 (2015): 174109. 10.1103/PhysRevB.91.174109

Copyright Owner

American Physical Society

Language

en

File Format

application/pdf

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