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    A model for the anisotropic response of fibrous soft tissues using six discrete fibre bundles

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    Type
    Article
    Authors
    Flynn, Cormac
    Rubin, M. B.
    Nielsen, Poul
    KAUST Grant Number
    KUK-C1-013-04
    Date
    2011-06-30
    Online Publication Date
    2011-06-30
    Print Publication Date
    2011-11
    Permanent link to this record
    http://hdl.handle.net/10754/597310
    
    Metadata
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    Abstract
    The 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.
    Citation
    Flynn 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.
    Sponsors
    This 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).
    Publisher
    Wiley
    Journal
    International Journal for Numerical Methods in Biomedical Engineering
    DOI
    10.1002/cnm.1440
    ae974a485f413a2113503eed53cd6c53
    10.1002/cnm.1440
    Scopus Count
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