A new conical ring element to be used in connection with the finite element method (FEM) is developed, which considers the effects of slight local deviations from an axisymmetric ring. To develop the proposed finite element, the displacements of a point in the ring element are assumed by a pair of t
A new axisymmetrical membrane element for anisotropic, finite strain analysis of arteries
✍ Scribed by Holzapfel, G. A. ;Eberlein, R. ;Wriggers, P. ;Weizsäcker, H. W.
- Publisher
- John Wiley and Sons
- Year
- 1996
- Tongue
- English
- Weight
- 553 KB
- Volume
- 12
- Category
- Article
- ISSN
- 1069-8299
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✦ Synopsis
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 refemng to experimental data of different rat arteries.
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