Title:

Thermodynamically Consistent Cahn-Hilliard and Allen-Cahn Models in Elastic Solids

Subtitle:

Raport Badawczy = Research Report ; RB/1/2005

Creator:

Pawłow, Irena

Publisher:

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

Place of publishing:

Warszawa

Date issued/created:

2005

Description:

28 pages ; 21 cm ; Bibliography p. 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:

Text

Detailed Resource Type:

Report

Source:

RB-2005-01

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