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A Thermodynamic Framework for Phase-Field Models: Theory and Applications * Introduction * Theory
Subtitle:Raport Badawczy = Research Report ; RB/13/2017
Creator: Publisher:Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences
Place of publishing: Date issued/created: Description:7-18, 19-102 pages ; 21 cm ; Bibliography p. 147-154
Subject and Keywords:Phase-field models ; Thermoelastic materials ; Order parameters ; Conserved and nonconserved dynamics ; Materiał termoelastyczny ; Modele pola fazowego
Abstract:The goal of this work is to develop a thermodynamic setting for phase-field (diffused-interface) models with conserved and nonconserved scalar order parameters in thermoelastic materials. The presented approach consists in exploiting the second law of thermodynamics in the form of the entropy principle according to I. Müller complemented by the Lagrange multipliers method suggested by I.Shih Liu. In Part I a general scheme of phase-field models which involves an arbitrary "extra" vector field is proposed. A detailed comparison with several well-known phase-field models, in particular models by Penrose and Fife, Caginalp, Fried and Gurtin, Falk, Fremond et al., Umantsev et al., is presented in Part II of this work.
Relation:Raport Badawczy = Research Report
Resource type: Detailed Resource Type: Source: Language: Language of abstract: Rights:Creative Commons Attribution BY 4.0 license
Terms of use:Copyright-protected material. [CC BY 4.0] May be used within the scope specified in Creative Commons Attribution BY 4.0 license, full text available at: ; -
Digitizing institution:Systems Research Institute of the Polish Academy of Sciences
Original in:Library of Systems Research Institute PAS
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