EFFECT OF VISCO-ELASTICITY OF AN ORTHOTROPIC ARTERIAL WALL ON PULSE-WAVE PROPAGATION

Audoshka I.V., the Belarusian State Agrarian Technical University, Minsk, the Republic of Belarus

Mikhasev G.I., the Belarusian State University, the Republic of Belarus

The problem of harmonic pressure wave propagation through a viscous fluid contained in a thin viscoelastic orthotropic tube is considered. To take into account viscoelasticity of the tube the linear viscoelasticity model is used. The computations have shown that taking into account the tube visco-elasticity leads to decrease of the phase velocity and transmission per wavelength.

harmonic pressure wave, viscoelasticity

• Atabeck, H.B. Wave propagation through a viscous fluid contained in a tethered, initially stressed, orthotropic elastic tube. Biophysical Journal, 1968, Vol. 8, pp. 626-649.
• Bergel, D.H. The properties of blood vessels. Biomechanics Its Foundation and Objectives. New York, Engelwood Cliffs, 1972, pp. 105-132.
• Patel D.J. [et al.] Dynamic anisotropic viscoelastic properties of the aorta in living dogs. Circulat. Res., 1973, Vol. 22, pp. 93-107.
• Goldenveizer, A.L. Teorija uprugih tonkih obolochek [The theory of thin elastic shells]. Moscow, Science, 1976. 512 p.
• Matyas, V.I. Kolebanija izotropnyh uprugo-vjazkih obolochek [Fluctuations isotropic viscoelastic shells]. Mehanika polimerov [Mechanics of polymers], 1971, no. 1, pp. 157-163.
• Womersley, J.R. Oscillatory motion of a viscous liquid in a thin-walled elastic tube. The linear approximation for long waves. Philosophical Magazine, 1955, Vol. 46, pp 199-221.
• Whirlow, D.K., Rouleau W.T. Periodic flow of a viscous liquid in a thick-walled elastic tube. Bull. Math. Biophys., 1965, Vol. 27, pp. 355-370.