Title:

A Thermodynamic Framework for Phase-Field Models: Theory and Applications * Introduction * Applications

Subtitle:

Raport Badawczy = Research Report ; RB/13/2017/02

Creator:

Pawłow, Irena

Publisher:

Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences

Place of publishing:

Warszawa

Date issued/created:

2017

Description:

7-18, 103-146 pages ; 21 cm ; Bibliography p. 147-154

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:

Text

Detailed Resource Type:

Report

Source:

RB-2017-13-02

Language:

eng

Language of abstract:

eng

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

Projects co-financed by:

Operational Program Digital Poland, 2014-2020, Measure 2.3: Digital accessibility and usefulness of public sector information; funds from the European Regional Development Fund and national co-financing from the state budget.

Access:

Open