@misc{Pawłow_Irena_A_2007, author={Pawłow, Irena}, copyright={Creative Commons Attribution BY 4.0 license}, address={Warszawa}, journal={Raport Badawczy = Research Report}, howpublished={online}, year={2007}, publisher={Instytut Badań Systemowych. Polska Akademia Nauk}, publisher={Systems Research Institute. Polish Academy of Sciences}, language={eng}, abstract={The paper adresses the problem of thermodynamical setting for phase-field models with conserved and nonconserved order parameters in thermoelastic materials. The presented approach consists in exploiting the second law in the form of the entropy principle according to I. Müller and I. S. Liu which leads to the evaluation of the entropy inequality with multipliers. The main result is a general scheme of phase-field models which involves an arbitrary extra vector field. For particular choices of this extra vector field, known schemes were obtained with either modified entropy equation or modified energy equation.}, title={A Thermodynamic Approach of Phase-Field Modeling of Thermoelastic Materials.Part I: Theory}, type={Text}, URL={http://www.rcin.org.pl/Content/182706/PDF/RB-2007-06.pdf}, keywords={Phase-field models, Thermoelastic materials, Order parameters, Conserved and nonconserved dynamics, Metoda pola fazowego, Materiał termoelastyczny}, }