Scaling Instability of the Buckling Load in Axially Compressed Circular Cylindrical Shells

Friday, May 23, 2014 - 8:30am - 9:10am
Keller 3-180
Yury Grabovsky (Temple University)
The classical formula for the buckling load of axially compressed
cylindrical shells predicts 4-5 times higher critical load than observed in
experiment. The discrepancy is explained by high sensitivity of the buckling
load to imperfections. However, the exact mechanism of this sensitivity
remains elusive. Our rigorous theory of near-flip buckling of slender
bodies reveals a scaling instability of the critical load caused by
imperfections of load. A possible mechanism of sensitivity to imperfections of
shape can also be seen in our analysis. This is a joint work with Davit Harutyunyan.
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