A new axisymmetrical membrane element for anisotropic, finite strain analysis of arteries

authored by
G. A. Holzapfel, R. Eberlein, P. Wriggers, H. W. Weizsäcker
Abstract

To explore the mechanical non-linear behaviour of anisotropic arterial walls on a computational basis, the formulation of a continuum based elastic potential is a major task and challenge to the analyst. The present communication is concerned with the constitutive modelling and numerical analysis of vascular segments covering finite strains. Special attention is paid to a two term potential that constitutes an essential foundation for accurate simulation within the entire strain domain. Axisymmetrical membrane elements are assembled to match the geometry of blood vessels. Numerical results confirm the theoretical approach by referring to experimental data of different rat arteries.

External Organisation(s)
Graz University of Technology
Technische Universität Darmstadt
University of Graz
Type
Article
Journal
Communications in Numerical Methods in Engineering
Volume
12
Pages
507-517
No. of pages
11
ISSN
1069-8299
Publication date
08.1996
Publication status
Published
Peer reviewed
Yes
ASJC Scopus subject areas
Software, Modelling and Simulation, Engineering(all), Computational Theory and Mathematics, Applied Mathematics
Electronic version(s)
https://doi.org/10.1002/(SICI)1099-0887(199608)12:8<507::AID-CNM998>3.0.CO;2-K (Access: Unknown)
 

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