Phase field method equations derived from thermodynamic extremal principle

0435716 - ÚFM 2015 RIV US eng C - Konferenční příspěvek (zahraniční konf.)
Svoboda, Jiří - Fischer, F. D.
Phase field method equations derived from thermodynamic extremal principle.
Advances in Heterogeneous Material Mechanics 2011. Lancaster: DEStech Publications, Inc, 2011 - (Fan, J.; Zhang, J.; Chen, H.; Jin, Z.), s. 318-319. ISBN 978-1-60595-054-9.
[ICHMM 2011 - International Conference on Heterogeneous Material Mechanics /3/. Shanghai (CN), 22.05.2011-26.05.2011]
Výzkumný záměr: CEZ:AV0Z20410507
Klíčová slova: thermodynamic extremal principle * phase field method * interface migration * solute segregation and drag
Kód oboru RIV: BJ - Termodynamika

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.
Trvalý link: http://hdl.handle.net/11104/0239609