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Related Experiment Videos

Dynamic buckling and fragmentation in brittle rods.

J R Gladden1, N Z Handzy, A Belmonte

  • 1W. G. Pritchard Laboratories, Department of Mathematics, Penn State University, University Park, Pennsylvania 16802, USA.

Physical Review Letters
|February 9, 2005
PubMed
Summary

Projectile impact causes slender rods to buckle and fragment. We identified a preferred buckling wavelength and scaling law, observing distinct fragment patterns in brittle materials.

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Area of Science:

  • Solid Mechanics
  • Materials Science
  • Impact Dynamics

Background:

  • Slender rods are susceptible to buckling under axial load.
  • Projectile impact introduces complex dynamic forces.
  • Understanding fragmentation is crucial for material failure analysis.

Purpose of the Study:

  • To investigate the dynamic buckling and fragmentation of slender rods under axial projectile impact.
  • To derive and experimentally verify a preferred buckling wavelength and scaling law.
  • To analyze fragment length distributions in brittle materials.

Main Methods:

  • Experimental impact tests on rods of various materials (Teflon, pasta, glass, steel).
  • Application of Saint-Venant and elastic beam theory to model buckling.

Related Experiment Videos

  • Analysis of fragment length distributions using statistical methods.
  • Main Results:

    • A preferred buckling wavelength (lambda) was derived and experimentally confirmed.
    • A scaling law for buckling instability was verified across different materials.
    • Fragment length distributions in brittle materials exhibited two peaks near lambda/2 and lambda/4.

    Conclusions:

    • The study successfully links elastic beam theory to dynamic buckling phenomena.
    • Buckling instability is a deterministic precursor to fragmentation in brittle rods.
    • Fragment patterns provide insights into the interplay between deterministic and stochastic failure processes.