Authors | T. Thorvaldsen, J. Sundnes and H. Osnes |
Editors | B. H. Skallerud and H. I. Andersson |
Title | A Mixed Formulation for Modeling the Mechanical Bahavior of the Heart |
Afilliation | Scientific Computing, Scientific Computing |
Status | Published |
Publication Type | Proceedings, refereed |
Year of Publication | 2005 |
Conference Name | MekIt05 - Third national conference om Computational Mechanics, Trondheim May 11-12 |
Pagination | 327-341 |
Date Published | May |
Publisher | Tapir Academic Press |
Abstract | In this paper we present a mixed finite element formulation for modeling the mechanical behavior of the cardiac tissue. The modeling may be divided into a passive and an active part. The passive properties are in this work described by a transversely isotropic, hyperelastic material model. Moreover, the myocardium is assumed to be almost incompressible. In advanced models the active contraction is strongly connected to electro-physiological processes in the muscle cells. In this paper we simplify the active stress contribution by modeling it as a linear function in time. Due to the fact that the heart muscle undergoes large deformations during contraction, both material and geometrical non-linearities must be taken into account in the analysis. Numerical results are presented for different activation patterns applied to a box-shaped test specimen, which represents a piece of the myocardial wall. The proposed mixed method offers reasonable results in the modeling of the mechanical behavior of the test specimen. |
Citation Key | Thorvaldsen.2005.2 |