Balzani, Daniel; Schröder, Jörg; Neff, Patrizio:
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
Buchaufsatz/Kapitel in Sammelwerk2010Bauwissenschaften
Titel:
Applications of anisotropic polyconvex energies: thin shells and biomechanics of arterial walls
Autor(in):
Balzani, DanielLSF; Schröder, JörgLSF; Neff, PatrizioLSF
Erscheinungsjahr
2010
DOI:
Erschienen in:
Titel:
Poly-, Quasi- and Rank-One Convexity in Applied Mechanics
Herausgeber(in):
Schröder, JörgLSF; Neff, PatrizioLSF
Erscheinungsort
Wien [u.a.]
Verlag
Springer
Erscheinungsjahr
2010
in:
S. 131 - 176
ISBN:
Signatur der UB
In Serie:
Titel:
CISM courses and lectures
in:
Band 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.