Modelling the kinetics of a triple junction

0383416 - ÚFM 2013 RIV GB eng J - Článek v odborném periodiku
Fischer, F. D. - Svoboda, Jiří - Hackl, K.
Modelling the kinetics of a triple junction.
Acta Materialia. Roč. 60, č. 12 (2012), s. 4704-4711. ISSN 1359-6454. E-ISSN 1873-2453
Grant CEP: GA ČR GAP108/10/1781
Institucionální podpora: RVO:68081723
Klíčová slova: Phase-field method * Phase transformation * Grain boundary migration * Thermodynamic modelling
Kód oboru RIV: BJ - Termodynamika
Impakt faktor: 3.941, rok: 2012

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.
Trvalý link: http://hdl.handle.net/11104/0213360