Nonlinear incompressible finite element for simulating loading of cardiac tissue-part I: Two dimensional formulation for thin myocardial strips

A. Horowitz, I. Sheinman, Y. Lanir, M. Perl, S. Sideman

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

Abstract

A two-dimensional incompressible plane-stress finite element is formulated for the simulation of the passive-state mechanics of thin myocardial strips. The formulation employs a total Lagrangian and materially nonlinear approach, being based on a recently proposed structural material law, which is derived from the histological composition of the tissue. The ensuing finite element allows to demonstrate the mechanical properties of a single myocardial layer containing uniformly directed fibers by simulating various loading cases such as tension, compression and shear. The results of these cases show that the fiber direction is considerably stiffer than the cross-fiber direction, that there is significant coupling between these two directions, and that the shear stiffness of the tissue is lower than its tensile and compressive stiffness.

Original languageEnglish
Pages (from-to)57-61
Number of pages5
JournalJournal of Biomechanical Engineering
Volume110
Issue number1
DOIs
StatePublished - 1 Jan 1988
Externally publishedYes

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