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Modelling of thin anisotropic collagen-dominated soft biological tissue
KTH, School of Engineering Sciences (SCI), Solid Mechanics (Dept.).
KTH, School of Engineering Sciences (SCI), Solid Mechanics (Dept.).
2008 (English)In: ADVANCES IN HETEROGENEOUS MATERIAL MECHANICS 2008 / [ed] Fan, JH; Chen, HB, LANCASTER: DESTECH PUBLICATIONS, INC , 2008, 614-615 p.Conference paper (Refereed)
Abstract [en]

A new constitutive model for thin, inhomogeneous, anisotropic, soft biological tissues is proposed. The thin tissue is modelled as a membrane, and the constitutive behaviour is characterized by a strain-energy function, which takes the structural features of soft biological tissue into account. It is assumed that the mechanical response of the tissue is dominated by its fibrous components, elastin and collagen. The proposed model is partly based on constitutive laws proposed by Holzapfel et al. (2000) and Kroon and Holzapfel (2007). The strain-energy of collagen fibres is modelled by use of a Fung-type strain-energy function, whereas the influence of the elastin fabric and the matrix material is modelled by use of an incompressible neo-Hookean model. In total the model has five material parameters: mu (the effective shear modulus pertaining to the elastin fabric and the matrix material), E-1 and E-2 (the initial stiffness of the collagen fabric in the two principal directions, respectively), a (a parameter describing the level of nonlinearity of the collagen fibres), and beta (the angle between the principal directions in the material and the reference coordinate system). A major advantage with the proposed model is, that the model parameters have clear physical interpretations. In addition, the total strain-energy function is polyconvex, which ensures material stability (Schroder and Neff, 2003). The model is fitted to results from inflation/extension tests on an adventitia tube from a femoral artery (Schulze-Bauer et al., 2002). Figure 1 shows a comparison between model predictions and experimental results in terms of principal stretches (lambda(1) and lambda(c)) for different internal pressure loads p. The agreement between model predictions and experiments is very good.

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Engineering and Technology
URN: urn:nbn:se:kth:diva-38630ISI: 000257167700154ScopusID: 2-s2.0-56649091252OAI: diva2:450750
International Conference on Heterogeneous Material Mechanics (ICHMM), Huangshan, PEOPLES R CHINA, JUN 03-08, 2008
QC 20111021Available from: 2011-10-21 Created: 2011-08-31 Last updated: 2012-03-22Bibliographically approved

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