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Journal of Non-Equilibrium Thermodynamics

Founded by Keller, Jürgen U.

Editor-in-Chief: Hoffmann, Karl Heinz

Managing Editor: Prehl, Janett / Paul, Raphael

Ed. by Michaelides, Efstathios E. / Rubi, J. Miguel

IMPACT FACTOR 2018: 2.083

CiteScore 2018: 1.84

SCImago Journal Rank (SJR) 2018: 0.564
Source Normalized Impact per Paper (SNIP) 2018: 0.876

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Volume 25, Issue 2


Hierarchical Internal Variables Reflecting Microstructural Properties: Application to Cardiac Muscle Contraction

Jüri Engelbrecht / Marko Vendelin / Gérard A. Maugin
Published Online: 2005-06-01 | DOI: https://doi.org/10.1515/JNETDY.2000.008


The formalism of internal state variables is proposed for describing the processes of deformation in muscles. Due to the complicated hierarchical microstructure of soft tissues where macroscopic stress states depend upon the sliding of molecules and ion concentrations, the internal variables are switched in successively forming a certain hierarchy. This hierarchy is a general property for complicated materials with different microscopic processes influencing the macroscopic behaviour. Based on that property a novel concept of hierarchical internal variables is defined (up to the knowledge of authors first time) and embedded into the framework of the existing formalism. The discussion based on an example of cardiac muscle contraction illustrates the advantages of this approach.

About the article

Published Online: 2005-06-01

Published in Print: 2000-09-06

Citation Information: Journal of Non-Equilibrium Thermodynamics, Volume 25, Issue 2, Pages 119–130, ISSN (Print) 0340-0204, DOI: https://doi.org/10.1515/JNETDY.2000.008.

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