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Modelling of 3‐D Linear Viscoelastic Swelling of Charged Tissues and Gels
Author(s) -
Ehlers Wolfgang,
Acartürk Ayhan,
Markert Bernd
Publication year - 2003
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200310094
Subject(s) - viscoelasticity , swelling , interstitial fluid , materials science , dissipative system , displacement (psychology) , fluid dynamics , thermodynamics , electrochemistry , flow (mathematics) , mechanics , chemistry , composite material , electrode , physics , medicine , psychology , psychotherapist
The skeleton of hydrated tissues or gels exhibits flow‐independent viscoelastic properties [2] which are strongly coupled with the dissipative phenomena resulting from the interstitial fluid flow and the electrochemical swelling mechanisms [4]. Following this, it is the goal of this contribution to combine a linear viscoelasticity formulation with an electrochemical swelling theory in the framework of a well‐founded multiphasic concept. Proceeding from a macroscopic mixture approach, the governing equations can be expressed in terms of three primary variables, namely the solid displacement u S , the effective pore‐fluid pressure p and the molar salt concentration c m of the interstitial fluid.