Object structure

Title:

A Thermodynamic Approach of Phase-Field Modeling of Thermoelastic Materials.Part I: Theory

Subtitle:

Raport Badawczy = Research Report ; RB/6/2007

Creator:

Pawłow, Irena

Publisher:

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

Place of publishing:

Warszawa

Date issued/created:

2007

Description:

69 pages ; 21 cm ; Bibliography p. 67-69

Subject and Keywords:

Phase-field models ; Thermoelastic materials ; Order parameters ; Conserved and nonconserved dynamics ; Metoda pola fazowego ; Materiał termoelastyczny

Abstract:

The goal of this paper is to work out a thermodynamical setting for phase-field models with conserved and nonconserved order parameters in thermoelastic materials. Our 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. As the main result we obtain a general scheme of phase- field models which involves an arbitrary extra vector field. We explain the presence of such a field in the light of Edelen’s decomposition theorem asserting a splitting of a solution of the dissipation inequality into a dissipative and a nondissipative part. For particular choices of this extra vector field we obtain known schemes with either modified entropy equation or modified energy equation. A detailed comparison with several known phase-field models, in particular Cahn-Hilliard and Allen-Cahn models in the presence of deformation and heat conduction, will be presented in Part II of the paper.

Relation:

Raport Badawczy = Research Report

Resource type:

Text

Detailed Resource Type:

Report

Source:

RB-2007-06

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.

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