Evaluation of left ventricular wall stresses during ejection using nonlinear finite elements
type: Item
instance of: scholarly article
title: Evaluation of left ventricular wall stresses during ejection using nonlinear finite elements
zbMATH Open document ID: 0608.73103
DOI: 10.1016/0168-874X(87)90031-X
author: Mohamed S. Hamid
author: Hani N. Sabbah
author: Paul D. Stein
published in: Finite Elements in Analysis and Design
publication date: 1987-01-01T00:00:00Z
review text: Wall stresses in a normal and infarcted left ventricle were calculated during ejection using nonlinear incompressible finite elements. The geometry of the left ventricle was approximated as a thick ellipsoidal shell of revolution. Tissue incompressibility was assumed and was achieved in the model by applying a constraint in each element that equated the third strain invariant as unity. Both large deformation and large strain theories were used in the analysis. A strain energy density function was assumed for the ventricular muscle. A load of 5.33kPa (40mmHg) was applied at the endocardial surface, in the normal direction away from the surface. This allowed the endocardial surface to encroach upon the ventricular cavity and thus simulated ejection. In the normal left ventricle, stresses were highest in the subendocardium and decreased toward the subepicardium. The computed increase of wall thickness at the mid-ventricular level during ejection was comparable to measurements of wall thickness in anesthetized dogs. Introduction of a small simulation axisymmetric infarct into the model near the apex resulted in an appreciable stress gradient between the infarcted tissue and the adjacent normal myocardium. The estimation of the magnitude and distribution of stresses during ejection in the normal and infarcted left ventricle is useful in understanding the principles that govern left ventricular mechanics.
Mathematics Subject Classification ID: 74L15
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 92Cxx
Mathematics Subject Classification ID: 74S30
zbMATH DE Number: 3984756
zbMATH Keywords: Wall stresses
zbMATH Keywords: normal and infarcted left ventricle
zbMATH Keywords: ejection
zbMATH Keywords: nonlinear incompressible finite elements
zbMATH Keywords: thick ellipsoidal shell of revolution
zbMATH Keywords: Tissue incompressibility
zbMATH Keywords: large deformation
zbMATH Keywords: large strain theories
zbMATH Keywords: strain energy density function
MaRDI profile type: Publication
full work available at URL: 0168-874x(87)90031-x
OpenAlex ID: W2094473897
description: scientific article; zbMATH DE number 3984756