Nonlinear Incompressible Finite Element for Simulating Loading of Cardiac Tissue—Part I: Two Dimensional Formulation for Thin Myocardial Strips

[+] Author and Article Information
A. Horowitz, Y. Lanir, S. Sideman

Department of Biomedical Engineering, Technion-Israel Institute of Technology, Haifa 32000, Israel

I. Sheinman

Department of Civil Engineering, Technion-Israel Institute of Technology, Haifa 32000, Israel

M. Perl

Department of Mechanical Engineering, Technion-Israel Institute of Technology, Haifa 32000, Israel

J Biomech Eng 110(1), 57-61 (Feb 01, 1988) (5 pages) doi:10.1115/1.3108406 History: Received November 09, 1987; Revised November 30, 1987; Online June 12, 2009


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.

Copyright © 1988 by ASME
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