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A microstructurally motivated anisotropic viscoelastic model for soft tissues
Author(s) -
Ehret Alexander E.,
Itskov Mikhail,
Weinhold Georg
Publication year - 2008
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200810171
Subject(s) - viscoelasticity , anisotropy , ground substance , constitutive equation , materials science , collagen fibres , matrix (chemical analysis) , mechanics , composite material , structural engineering , physics , engineering , finite element method , optics , anatomy , medicine , connective tissue , pathology
In this paper, a microstructurally motivated approach to take into account the anisotropic viscoelastic behaviour of soft biological tissues is proposed. The constitutive model is based on the assumption that this behaviour results from an interaction between collagen fibres and surrounding matrix constituents. Accordingly, a non–linear viscoelastic one–dimensional model for fibres and the nearby ground substance is developed. This model is then generalised to the anisotropic three–dimensional case. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)