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- W1992078518 abstract "In the present work, employing the nonlinear equations of an incompressible, isotropic, and elastic body and the exact equations of an incompressible inviscid fluid, the propagation of weakly nonlinear waves in an elastic thick tube filled with an inviscid fluid is studied. The tube is initially assumed to be subjected to a large inner pressure P0 and the axial stretch λz, and, in the course of blood flow a large time dependent radial displacement is superimposed on this static field. The nonlinear equation governing the radial motion of the tube is obtained. Utilizing a reductive perturbation technique, the propagation of weakly nonlinear waves is studied and the KdV equation is obtained as the evolution equation. Due to the dependence of the coefficients of the nonlinear evolution equation on initial deformation and the geometrical characteristics it is shown that the solution profile changes with initial deformation and the thickness ratio.In dieser Arbeit wird unter Verwendung der nichtlinearen Gleichungen eines inkompressiblen, isotropen und elastischen Korpers und der strengen Gleichungen eines inkompressiblen, reibungsfreien Fluids die Ausbreitung quasilinearer Wellen in einem elastischen dicken Rohr mit einer reibungsfreien Flussigkeit untersucht. Zunachst wird angenommen, das das Rohr einem grosen inneren Druck P0 und dem axialen Zug λz unterworfen und das fur den Fall einer Blutstromung eine grose zeitabhangige radiale Verschiebung dem statischen Feld uberlagert ist. Unter Anwendung einer reduktiven Storungstechnik wird die Ausbreitung von quasilinearen Wellen untersucht und die KdV-Gleichung als Entwicklungsgleichung erhalten. Aufgrund der Abhangigkeit der Koeffizienten der nichtlinearen Entwicklungsgleichung von der Anfangsdeformation und den geometrischen Charakteristiken wird gezeigt, das sich das Losungsprofil mit der Anfangsdeformation und dem Dickenverhaltnis verandert." @default.
- W1992078518 created "2016-06-24" @default.
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- W1992078518 date "1997-01-01" @default.
- W1992078518 modified "2023-09-23" @default.
- W1992078518 title "Solitary Waves in a Prestressed Thick Elastic Tube Containing an Inviscid Fluid" @default.
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- W1992078518 doi "https://doi.org/10.1002/zamm.19970771005" @default.
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