Abstract
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.
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Horny, L., Zitny, R., Chlup, H. (2009). Strain energy function for arterial walls based on limiting fiber extensibility. In: Vander Sloten, J., Verdonck, P., Nyssen, M., Haueisen, J. (eds) 4th European Conference of the International Federation for Medical and Biological Engineering. IFMBE Proceedings, vol 22. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-89208-3_455
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DOI: https://doi.org/10.1007/978-3-540-89208-3_455
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