Introducing mesoscopic information into constitutive equations for arterial walls

Ogden, R.W. and Saccomandi, G. (2007) Introducing mesoscopic information into constitutive equations for arterial walls. Biomechanics and Modeling in Mechanobiology, 6(5), pp. 333-344. (doi:10.1007/s10237-006-0064-8)

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Abstract

We propose a new elastic constitutive law for arterial tissue in which the limiting polymeric chain extensibility of both collagen and elastin fibres is accounted for. The elastic strain-energy function is separated additively into two parts: an isotropic contribution associated with the matrix (incorporating the elastin fibre network) and an anisotropic one associated with the collagen fibres. Information on the limiting extensibility in each case provides some mesoscopic input into the model. The (logarithm-based) model is compared with the Fung-Demiray exponential model and certain other recently proposed models. Some aspects of the elastic response under extension and inflation of a thin-walled circular cylindrical tube (the artery) are then examined and compared with the corresponding response of a rubberlike tube. We point out that our model, when both isotropic and anisotropic terms are included, can be developed to accommodate changing mechanical properties associated with degradation of the elastin and collagen by considering the material constants that define the limit of chain extensibility to evolve in time.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Ogden, Professor Raymond
Authors: Ogden, R.W., and Saccomandi, G.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Biomechanics and Modeling in Mechanobiology
ISSN:1617-7959
Published Online:24 November 2006

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