Dynamic Buckling and Fragmentation in Brittle Rods

J. R. Gladden, N. Z. Handzy, A. Belmonte, E. Villermaux
2005 Physical Review Letters  
We present experiments on the dynamic buckling and fragmentation of slender rods axially impacted by a projectile. By combining the results of Saint-Venant and elastic beam theory, we derive a preferred wavelength lambda for the buckling instability, and experimentally verify the resulting scaling law for a range of materials including teflon, dry pasta, glass, and steel. For brittle materials, buckling leads to the fragmentation of the rod. Measured fragment length distributions show two clear
more » ... peaks near lambda/2 and lambda/4. The non-monotonic nature of the distributions reflect the influence of the deterministic buckling process on the more random fragmentation processes.
doi:10.1103/physrevlett.94.035503 pmid:15698281 fatcat:ulqmcn4bdnd33i6xzij6amv6zi