The stability of a cylindrical elastic membrane of biological tissue and the effect of internal fluid flow

DOI10.1007/BF02426918zbMath0474.73046MaRDI QIDQ3929134

J. S. K. Wong, Richard T. Shield

Publication date: 1980

Published in: Ingenieur-Archiv (Search for Journal in Brave)

zbMATH Keywords

Poiseuille flowtubeorthotropicfluid motiondead loadingone-dimensional analysisfundamental frequencies of vibrationcompared to Rayleigh's results for circular liquid jetflow of incompressible fluidprofiles of slug flowstabilizing or destabilizing influencestretched elastic membraneuniformly deformed orthotropic plane sheet

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Membranes (74K15) Biomechanical solid mechanics (74L15) Physiological flows (76Z05)

Cites Work

• Finite deformation of elastic membranes with application to the stability of an inflated and extended tube
• On the stability of linear continuous systems
• Instability and the energy criterion for continuous systems
• On the stability of finitely deformed elastic membranes. I: Stability of a uniformly deformed plane membrane
• Antiferromagnetismus

This page was built for publication: The stability of a cylindrical elastic membrane of biological tissue and the effect of internal fluid flow