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

In: Poly-, Quasi- and Rank-One Convexity in Applied Mechanics / Schröder, Jörg; Neff, Patrizio (Hrsg.)
Wien [u.a.]: Springer (2010) (CISM courses and lectures ; 516), S. 131-176
ISBN: 978-3-7091-0173-5
Buchaufsatz / Kapitel / Fach: Bauwissenschaften
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.