Resonant three-wave interactions in nonlinear hyper-elastic fluid-filled tubes

DOI10.1007/BF00948729zbMath0672.73024OpenAlexW2163615801MaRDI QIDQ1120328

Gordon E. Swaters

Publication date: 1988

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00948729

zbMATH Keywords

two-dimensionalaxi-symmetricinviscidmultiple-scales methodaxially-tethered nonlinear membraneous cylindrical shellexplosively unstable steadily-traveling wave packetspump-wave approximationsresonantly interacting triadsresultant stressesstrain-energy functionaltemporally developing modesthree-wave interaction equations

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Wave scattering in solid mechanics (74J20)

Related Items (1)

Resonant-triad instability of a pre-stressed incompressible elastic plate

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Inflation waves in nonlinear distensible tubes
• Impulse propagation in liquid filled distensible tubes: Theory and experiment for intermediate to long wavelengths
• Wave propagation and reflection in liquid filled distensible tube systems exhibiting dissipation and dispersion
• Waves in thin-walled elastic tubes containing an incompressible inviscid fluid
• Elastic jumps on fluid-filled elastic tubes
• ON THE WAVETRAINS ASSOCIATED WITH ELASTIC JUMPS ON FLUID-FILLED ELASTIC TUBES
• Wave Interactions and Fluid Flows
• The Fluid Mechanics of Large Blood Vessels
• A Perturbation Expansion for the Zakharov–Shabat Inverse Scattering Transform
• Evolution in space and time of resonant wave triads - I. The 'pump-wave approximation'
• Three-wave resonant interactions of gravity-capillary waves
• Wave propagation in a viscoelastic tube containing a viscous fluid
• Nonlinear resonant oscillations in open tubes
• A non-linear equation incorporating damping and dispersion
• Wave Propagation in a Fluid-Filled Tube
• Post Buckling Behavior of Elastic Tubes and Rings with Opposite Sides in Contact

This page was built for publication: Resonant three-wave interactions in nonlinear hyper-elastic fluid-filled tubes