Details
| Original language | English |
|---|---|
| Pages (from-to) | 507-517 |
| Number of pages | 11 |
| Journal | Communications in Numerical Methods in Engineering |
| Volume | 12 |
| Issue number | 8 |
| Publication status | Published - Aug 1996 |
| Externally published | Yes |
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.
Keywords
- Anisotropy, Axisymmetrical finite elements, Finite strains, Non-linear constitutive model, Soft tissue biomechanics, Vascular biomechanics
ASJC Scopus subject areas
- Computer Science(all)
- Software
- Mathematics(all)
- Modelling and Simulation
- Engineering(all)
- Computer Science(all)
- Computational Theory and Mathematics
- Mathematics(all)
- Applied Mathematics
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In: Communications in Numerical Methods in Engineering, Vol. 12, No. 8, 08.1996, p. 507-517.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A new axisymmetrical membrane element for anisotropic, finite strain analysis of arteries
AU - Holzapfel, G. A.
AU - Eberlein, R.
AU - Wriggers, P.
AU - Weizsäcker, H. W.
PY - 1996/8
Y1 - 1996/8
N2 - 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.
AB - 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.
KW - Anisotropy
KW - Axisymmetrical finite elements
KW - Finite strains
KW - Non-linear constitutive model
KW - Soft tissue biomechanics
KW - Vascular biomechanics
UR - http://www.scopus.com/inward/record.url?scp=0030214496&partnerID=8YFLogxK
U2 - 10.1002/(SICI)1099-0887(199608)12:8<507::AID-CNM998>3.0.CO;2-K
DO - 10.1002/(SICI)1099-0887(199608)12:8<507::AID-CNM998>3.0.CO;2-K
M3 - Article
AN - SCOPUS:0030214496
VL - 12
SP - 507
EP - 517
JO - Communications in Numerical Methods in Engineering
JF - Communications in Numerical Methods in Engineering
SN - 1069-8299
IS - 8
ER -