D.V.Lukoms'ky, I.S.Gandzha Studying of hydroelastic instability of a blood vessel on the base of geometrically nonlinear theory of elasticity |
Acoustic bulletin, Vol. 13 ¹ 2, (2010) |
| The paper deals with considering of the problem on wave propagation in an elastic cylinder filled with a liquid. The liquid is treated as an incompressible and inviscid one preforming the potential motion. The cylinder is prestressed by the internal (transmural) pressure, and the process of its deforming is described by the equations of a nonlinear theory of elasticity. The considered case corresponds to axisymmetric deformations at propagation of pulse pressure waves in a blood vessel. Wave dispersion law is obtained numerically by expanding of the elastic field in power series. In comparison with the theory of shells, the additional domain of instability is found for the cylindrical vessel's shape, as well as strong dependence of the Moens-Korteweg velocity from the transmural pressure. |
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KEY WORDS: an elastic hollow cylinder, ideal liquid, the pulse wave, the Moens-Korteweg velocity, instability, transmural pressure |
| TEXT LANGUAGE: Ukrainian |