Effects of initial stretches on wave speeds in thin orthotropic hyperelastic tubes containing fluid flow

Hart V.G. and Shi J. (1994) Effects of initial stretches on wave speeds in thin orthotropic hyperelastic tubes containing fluid flow. Applied Mathematical Modelling, 18 4: 198-206. doi:10.1016/0307-904X(94)90082-5


Author Hart V.G.
Shi J.
Title Effects of initial stretches on wave speeds in thin orthotropic hyperelastic tubes containing fluid flow
Journal name Applied Mathematical Modelling   Check publisher's open access policy
ISSN 0307-904X
Publication date 1994-01-01
Sub-type Article (original research)
DOI 10.1016/0307-904X(94)90082-5
Volume 18
Issue 4
Start page 198
End page 206
Total pages 9
Subject 2206 Computational Mechanics
2207 Control and Systems Engineering
2606 Control and Optimization
Abstract Effects of longitudinal and circumferential initial stretch ratios (or stresses) on the speeds of wave propagation in orthotropic hyperelastic tubes containing viscous flow are investigated. Womersley's theory is used together with the long wavelength approximation, and numerical calculations are carried out for two models of natural arteries and for an artificial artery. It is found that the wave speeds increase with the circumferential stretch ratio in the natural arteries but decrease in the artificial artery. The effects of the inertia of the tube and the viscosity of the fluid are shown briefly. Comparisons with earlier work are made, in particular with the results of the simpler characteristic theory. In the latter case the influence of the Poisson ratio is noted.
Keyword fluid flow
initial stretches
orthotropic tube
wave speeds
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Unknown

Document type: Journal Article
Sub-type: Article (original research)
Collection: Scopus Import - Archived
 
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Created: Tue, 23 Aug 2016, 13:41:42 EST by System User