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

  • Daniel Balzani
  • Jörg Schröder
  • Patrizio Neff
Part of the CISM International Centre for Mechanical Sciences book series (CISM, volume 516)


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.


Experiment Model Strong Influence Energy Function Application Field General Framework 
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Copyright information

© CISM, Udine 2010

Authors and Affiliations

  • Daniel Balzani
    • 1
  • Jörg Schröder
    • 1
  • Patrizio Neff
    • 1
  1. 1.University Duisburg-EssenEssenGermany

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