Td. Park et S. Kyriakides, ON THE COLLAPSE OF DENTED CYLINDERS UNDER EXTERNAL-PRESSURE, International journal of mechanical sciences, 38(5), 1996, pp. 557-578
In this paper the reduction in the collapse pressure of long cylinders
which have local dents is evaluated through a combination of experime
nt and analysis. A number of stainless steel tubes, with diameter-to-t
hickness ratios of approximately 33, 24 and 19, were indented to vario
us degrees with spherical indenters of two diameters. The geometry of
each dent was recorded using an imperfection scanning system and the c
ylinders were subsequently collapsed under external pressure. Denting
reduces the local collapse resistance of the cylinder. For larger dent
s the collapse pressure was found to approach the propagation pressure
of the tube. Collapse was found to be relatively insensitive to the d
etailed geometry of a dent but to be critically dependent on the maxim
um ovalization of its most deformed cross section (Delta(Od)). The col
lapse pressures of tubes with dents produced by indenters of different
diameters could be well correlated through this measure of the dent g
eometry. The denting and collapse processes were simulated numerically
using appropriately nonlinear elastoplastic shell analyses. Both step
s of such simulations were shown to be in good agreement with experime
ntal results for a broad variation of the parameters of the problem. T
he key role of the geometric parameter Delta(Od) was exploited in orde
r to generate a Universal Collapse Resistance Curve for dented cylinde
rs. It was possible to show that the post-limit load response (P - Del
ta) of a cylinder, with a small but axially uniform initial ovality, p
rovides a very good lower bound to the collapse pressures of the dente
d cylinders plotted against the dent parameter Delta(Od). The signific
ance of this curve is that it can be used to estimate the reduction in
the collapse pressure of a cylinder with any dent geometry from only
one relatively simple measurement of the geometry of the dented sectio
n.