@misc{Pawłow_Irena_A_2017,
 author={Pawłow, Irena},
 copyright={Creative Commons Attribution BY 4.0 license},
 address={Warszawa},
 journal={Raport Badawczy = Research Report},
 howpublished={online},
 year={2017},
 publisher={Instytut Badań Systemowych. Polska Akademia Nauk},
 publisher={Systems Research Institute. Polish Academy of Sciences},
 language={eng},
 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.},
 title={A Thermodynamic Framework for Phase-Field Models: Theory and Applications * Introduction * Theory},
 type={Text},
 URL={http://www.rcin.org.pl/Content/197737/PDF/RB-2017-13.pdf},
 keywords={Phase-field models, Thermoelastic materials, Order parameters, Conserved and nonconserved dynamics, Materiał termoelastyczny, Modele pola fazowego},
}