Strain energy function for arterial walls based on limiting fiber extensibility

  • L. Horny
  • R. Zitny
  • H. Chlup
Part of the IFMBE Proceedings book series (IFMBE, volume 22)


An anisotropic strain energy density function based on limiting fiber extensibility assumption was suggested. The function was deduced directly from isotropic Gent model. A material was modeled as a composite reinforced with two families of helical fibers. The anisotropy of the strain energy function was incorporated via pseudo-invariants I 4 and I 6. Mathematical expression includes three material parameters. Suitability of the model for a description of arterial mechanical response was verified by regression analysis of experimental data. Computational model based on a cylindrical thick-walled tube with residual strains was used to estimate material parameters. Identified material model fits pressure-radius data of an aortic inflation test successfully. Further upgrades of the model are discussed.


aorta constitutive model limiting fiber extensibility orthotropy strain energy function 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • L. Horny
    • 1
  • R. Zitny
    • 2
  • H. Chlup
    • 1
  1. 1.Department of Mechanics, Biomechanics and MechatronicsFaculty of Mechanical Engineering Czech Technical University in PraguePragueCzech Republic
  2. 2.Department of Process EngineeringFaculty of Mechanical Engineering Czech Technical University in PraguePragueCzech Republic

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