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Applications of anisotropic polyconvex energies: thin shells and biomechanics of arterial walls

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Poly-, Quasi- and Rank-One Convexity in Applied Mechanics

Part of the book series: CISM International Centre for Mechanical Sciences ((CISM,volume 516))

Abstract

In this contribution a general framework for the construction of polyconvex anisotropic strain energy functions, which a priori satisfy the condition of a stress-free reference configuration, is given. In order to show the applicability of polyconvex functions, two application fields are discussed. First, a comparative analysis of several polyconvex functions is provided, where the models are adjusted to experiments of soft biological tissues from arterial walls. Second, thin-shell simulations, where polyconvex material models are used, show a strong influence of anisotropy when comparing isotropic shells with anisotropic ones.

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Authors and Affiliations

  1. University Duisburg-Essen, Essen, Germany

    Daniel Balzani, Jörg Schröder & Patrizio Neff

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  1. Daniel Balzani
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  2. Jörg Schröder
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  1. University Duisburg-Essen, Essen, Germany

    Jörg Schröder  & Patrizio Neff  & 

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Balzani, D., Schröder, J., Neff, P. (2010). Applications of anisotropic polyconvex energies: thin shells and biomechanics of arterial walls. In: Schröder, J., Neff, P. (eds) Poly-, Quasi- and Rank-One Convexity in Applied Mechanics. CISM International Centre for Mechanical Sciences, vol 516. Springer, Vienna. https://doi.org/10.1007/978-3-7091-0174-2_5

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  • DOI: https://doi.org/10.1007/978-3-7091-0174-2_5

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-7091-0173-5

  • Online ISBN: 978-3-7091-0174-2

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