About: Phase field method equations derived from thermodynamic extremal principle

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	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. 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. (en)
Title	Phase field method equations derived from thermodynamic extremal principle Phase field method equations derived from thermodynamic extremal principle (en)
skos:prefLabel	Phase field method equations derived from thermodynamic extremal principle Phase field method equations derived from thermodynamic extremal principle (en)
skos:notation	RIV/68081723:_____/11:00435716!RIV15-AV0-68081723
http://linked.open...avai/riv/aktivita	Z
http://linked.open...avai/riv/aktivity	Z(AV0Z20410507)
http://linked.open...vai/riv/dodaniDat	2015
http://linked.open...aciTvurceVysledku	Svoboda, Jiří
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Ústav fyziky materiálů AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	220159
http://linked.open...ai/riv/idVysledku	RIV/68081723:_____/11:00435716
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	thermodynamic extremal principle; phase field method; interface migration; solute segregation and drag (en)
http://linked.open.../riv/klicoveSlovo	interface migration phase field method solute segregation and drag thermodynamic extremal principle
http://linked.open...ontrolniKodProRIV	[E31701CB4E04]
http://linked.open...v/mistoKonaniAkce	Shanghai
http://linked.open...i/riv/mistoVydani	Lancaster
http://linked.open...i/riv/nazevZdroje	Advances in Heterogeneous Material Mechanics 2011
http://linked.open...in/vavai/riv/obor	BJ
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...UplatneniVysledku	2011
http://linked.open...iv/tvurceVysledku	Fischer, F. D. Svoboda, Jiří
http://linked.open...vavai/riv/typAkce	WRD - Světová
http://linked.open...ain/vavai/riv/wos	000297713100076
http://linked.open.../riv/zahajeniAkce	2011-05-22 (xsd:date)
http://linked.open...n/vavai/riv/zamer	Physical properties of advanced materials in relation to their microstructure and processing
number of pages	2 (xsd:int)
http://purl.org/ne...btex#hasPublisher	DEStech Publications, Inc
https://schema.org/isbn	978-1-60595-054-9

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