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dc.contributor.authorFlynn, Cormac
dc.contributor.authorRubin, M. B.
dc.contributor.authorNielsen, Poul
dc.date.accessioned2016-02-25T12:30:24Z
dc.date.available2016-02-25T12:30:24Z
dc.date.issued2011-06-30
dc.identifier.citationFlynn C, Rubin MB, Nielsen P (2011) A model for the anisotropic response of fibrous soft tissues using six discrete fibre bundles. International Journal for Numerical Methods in Biomedical Engineering 27: 1793–1811. Available: http://dx.doi.org/10.1002/cnm.1440.
dc.identifier.issn2040-7939
dc.identifier.doi10.1002/cnm.1440
dc.identifier.urihttp://hdl.handle.net/10754/597310
dc.description.abstractThe development of constitutive models of fibrous soft-tissues is a challenging problem. Many consider the tissue to be a collection of fibres with a continuous distribution function representing their orientations. A discrete fibre model is presented consisting of six weighted fibre-bundles. Each bundle is oriented such that it passes through opposing vertices of a regular icosahedron. A novel aspect is the use of simple analytical distribution functions to simulate undulated collagen fibres. This approach yields closed-form analytical expressions for the strain energy of the collagen fibre-bundle that avoids the sometimes costly numerical integration of some statistical distribution functions. The elastin fibres are characterized by a modified neo-Hookean type strain energy function which does not allow for fibre compression. The model accurately simulates biaxial stretching of rabbit-skin (error-of-fit 8.7), uniaxial stretching of pig-skin (error-of-fit 7.6), equibiaxial loading of aortic valve cusp (error-of-fit 0.8), and simple shear of rat septal myocardium (error-of-fit 8.9). It compares favourably with previous soft-tissue models and alternative methods of representing undulated collagen fibres. Predicted collagen fibre stiffnesses range from 8.0thinspaceMPa to 930MPa. Elastin fibre stiffnesses range from 2.0 kPa to 154.4 kPa. © 2011 John Wiley & Sons, Ltd.
dc.description.sponsorshipThis work was in part supported by the New Zealand Foundation for Research, Science and Technology, through grants NERF 139400 and NERF 9077/3608892. This publication is also based on work supported in part by Award No KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST).
dc.publisherWiley
dc.subjectAnalytical distribution functions
dc.subjectAnisotropy
dc.subjectConstitutive model
dc.subjectSoft tissue mechanics
dc.titleA model for the anisotropic response of fibrous soft tissues using six discrete fibre bundles
dc.typeArticle
dc.identifier.journalInternational Journal for Numerical Methods in Biomedical Engineering
dc.contributor.institutionThe University of British Columbia, Vancouver, Canada
dc.contributor.institutionTechnion - Israel Institute of Technology, Haifa, Israel
dc.contributor.institutionUniversity of Auckland, Auckland, New Zealand
kaust.grant.numberKUK-C1-013-04
dc.date.published-online2011-06-30
dc.date.published-print2011-11


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