Dynamic buckling and fragmentation in brittle rods

Details Dynamic buckling and fragmentation in brittle rods Dynamic buckling and fragmentation in brittle rods

2004-10-25

arxiv.org/abs/cond-mat/0410642v1

Physics

Condensed Matter

Soft Condensed Matter

4 pages, 5 figures, submitted to Physical Review Letters

Scientific paper

10.1103/PhysRevLett.94.035503

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 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.

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