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Thermodynamically Consistent Cahn-Hilliard and Allen-Cahn Models in Elastic Solids
Subtitle:Raport Badawczy = Research Report ; RB/1/2005
Creator: Publisher:Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences
Place of publishing: Date issued/created: Description:28 stron ; 21 cm ; Bibliografia s. 27-28
Subject and Keywords:Cahn-hilliard ; Thermodynamics
Abstract:In the paper, the generalized Cahn-Hilliard and Allen-Cahn models in deformable continua introduced previously by E. Fried and M. E. Gurtin on the basis of a microforce balance, were derived again. Another approach was used based on the second law in the form of the entropy principle according to I. Muller and I. S. Liu which leads to the evaluation of the entropy inequality with multipliers. Both approaches provide the same systems of equations. In particular, the differential equation presented here for the multiplier associated with the balance law for the order parameter turns out to be identical with the Fried-Gurtin microforce balance.
Relation:Raport Badawczy = Research Report
Resource type: Detailed Resource Type: Source: Language: Language of abstract: Rights:Licencja Creative Commons Uznanie autorstwa 4.0
Terms of use:Zasób chroniony prawem autorskim. [CC BY 4.0 Międzynarodowe] Korzystanie dozwolone zgodnie z licencją Creative Commons Uznanie autorstwa 4.0, której pełne postanowienia dostępne są pod adresem: ; -
Digitizing institution:Instytut Badań Systemowych Polskiej Akademii Nauk
Original in:Biblioteka Instytutu Badań Systemowych PAN
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