Stresses and strains in the left ventricular wall approximated as a thick conical shell using large deformation theory

H. R. Chaudhry, B. Bukiet, A. M. Davis, T. Findley

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8 Scopus citations

Abstract

In this paper, stress and strain equations are developed for the left ventricle mainly to find the influence of the ventricle's shape on wall stresses. Here, the ventricle is assumed to be a thick-walled truncated conical shell and large elastic deformation theory is applied. Our model is compared to corresponding results approximating the left ventricle as a spherical shell. Clinically relevant parameters such as the myocardial stiffness constant, the stretch ratios and the stresses and strains have been computed using available canine data. The conical model leads to more realistic results than the spherical model and enables one to evaluate stresses and strains from base to apex instead of only at the equatorial region as in a cylindrical model.

Original languageEnglish (US)
Pages (from-to)353-372
Number of pages20
JournalJournal of Biological Systems
Volume4
Issue number3
DOIs
StatePublished - Sep 1996

All Science Journal Classification (ASJC) codes

  • Ecology
  • Agricultural and Biological Sciences (miscellaneous)
  • Applied Mathematics

Keywords

  • Large deformation theory
  • Left ventricle
  • Strain
  • Stress

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