A nisotropic nonlinear-elastic model of the large human blood vessels

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1 Citation (Scopus)


A mathematical model describing certain deformation processes in the large human blood vessels is proposed on the basis of the theory of large deformations. The strain-energy function W is taken in the form of a sum of exponentials. The material constants in this function are determined from experiments on specimens of the human abdominal aorta in uniaxial tension along the two principal axes of anisotropy. An analytical calculation of the strains in biaxial tension using the function W gives a good description of the experimental data. The age dependence of the distribution of the stresses σr, σθ{symbol}, and σz, and the function W over the thickness of the vessel wall is analyzed.

Original languageEnglish
Pages (from-to)756-764
Number of pages9
JournalPolymer Mechanics
Issue number5
Publication statusPublished - Sept 1974
Externally publishedYes

Field of Science*

  • 2.6 Medical engineering

Publication Type*

  • 1.1. Scientific article indexed in Web of Science and/or Scopus database


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