Nonlinear Pressure Waves in a Fluid-Filled Elastic Tube
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概要
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The nonlinear pressure wave propagation in a straight thin elastic tube con-taining an inviscid incompressible fluid is considered using the shell theorieswhich are extended to the second order of magnitude of deformations. Thenonlinear effects being taken into account are due to the convective motion offluid, nonlinear strains and stress-strain relations. Though our problems areconsiderably simplified by the shell theories, the resultant equations for the dis-placements of the middle surface are still complicated. Therefore, further coo-siderations are confined to the asymptotic state in which the system of equationscan be reduced to the Korteweg-de Vries (K-dV) equation and the relation be-tween the multi-soliton solutions and peaking and steepening phenomena isdiscussed.
- 社団法人日本物理学会の論文
- 1985-09-15