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用于模拟心脏组织负荷的非线性不可压缩有限元方法——第一部分:薄心肌条带的二维公式

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

作者信息

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

机构信息

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

出版信息

J Biomech Eng. 1988 Feb;110(1):57-61. doi: 10.1115/1.3108406.

DOI:10.1115/1.3108406
PMID:3347024
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.

摘要

为模拟薄心肌条带的被动状态力学,建立了二维不可压缩平面应力有限元模型。该模型采用全拉格朗日法和材料非线性方法,基于最近提出的一种结构材料定律,该定律源自组织的组织学组成。由此产生的有限元模型能够通过模拟各种加载情况(如拉伸、压缩和剪切)来展示包含均匀定向纤维的单层心肌的力学特性。这些情况的结果表明,纤维方向的刚度远大于横向纤维方向,这两个方向之间存在显著耦合,并且组织的剪切刚度低于其拉伸和压缩刚度。

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