Number of the records: 1
Derivation of the phase field equations from the thermodynamic extremal principle
- 1.
SYSNO ASEP 0369694 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Derivation of the phase field equations from the thermodynamic extremal principle Author(s) Svoboda, Jiří (UFM-A) RID, ORCID
Fischer, F. D. (AT)
McDowell, D.L. (US)Number of authors 3 Source Title Acta Materialia. - : Elsevier - ISSN 1359-6454
Roč. 60, č. 1 (2012), s. 396-406Number of pages 11 s. Language eng - English Country GB - United Kingdom Keywords Phase-field method ; Phase transformation ; Thermodynamic extremal principle Subject RIV BJ - Thermodynamics R&D Projects GAP108/10/1781 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z20410507 - UFM-A (2005-2011) UT WOS 000297822300039 DOI 10.1016/j.actamat.2011.09.044 Annotation Thermodynamics employs quantities that characterize the state of the system and provides driving forces for system evolution. These quantities can be applied by means of the thermodynamic extremal principle to obtain models and consequently constitutive equations for the evolution of the thermodynamic systems. The phase field method is a promising tool for simulation of the microstructure evolution in complex systems but introduces several parameters that are not standard in thermodynamics. The purpose of this paper is to show how the phase field method equations can be derived from the thermodynamic extremal principle, allowing the common treatment of the phase field parameters together with standard thermodynamic parameters in future applications. Fixed values of the phase field parameters may, however, not guarantee fixed values of thermodynamic parameters. Conditions are determined, for which relatively stable values of the thermodynamic parameters are guaranteed during phase field method simulations of interface migration. Finally, analytical relations between the thermodynamic and phase field parameters are found and verified for these simulations. A slight dependence of the thermodynamic parameters on the driving force is determined for the cases examined. Workplace Institute of Physics of Materials Contact Yvonna Šrámková, sramkova@ipm.cz, Tel.: 532 290 485 Year of Publishing 2012
Number of the records: 1