M. Heil et Tj. Pedley, LARGE POSTBUCKLING DEFORMATIONS OF CYLINDRICAL-SHELLS CONVEYING VISCOUS-FLOW, Journal of fluids and structures, 10(6), 1996, pp. 565-599
This paper examines the post-buckling deformations of cylindrical shel
ls conveying viscous fluid. The wall deformation is modelled using geo
metrically nonlinear shell theory, and lubrication theory is used to m
odel the fluid flow. The coupled fluid-solid problem is solved using a
parallelized FEM technique. It is found that the fluid-solid interact
ion leads to a violent collapse of the tube such that immediate opposi
te-wall contact occurs after the buckling if the volume flux is kept c
onstant during buckling. If the pressure drop through the tube is kept
constant during the buckling, the fluid-solid coupling slows down the
collapse (compared to buckling under a dead load). The effects of var
ious parameters (upstream pressure, axial pre-stretch and the geometry
of the tube) on the post-buckling behaviour are examined and the exac
t geometrically nonlinear shell theory is compared to Sanders' (1963)
moderate rotation theory. Finally, the implications of the results for
previous models which described the wall deformation using so called
''tube laws'' are discussed. (C) 1996 Academic Press Limited