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Experimental Mechanics

, Volume 15, Issue 2, pp 49–54 | Cite as

Similitude in exploding wires

Similarity conditions for phenomena involving explosion of a wire, shock propagation and inelastic deformation are derived and the theory is supported by experiments in which aluminum diaphragms are permanently deformed
  • C. Wayne Martin
Article

Abstract

Conditions for similarity have been derived for phenomena involving an exploding wire, propagation of the resulting shock through a fluid, and inelastic deformation or fracture of a structure. This analysis considers the capacitance, voltage and material properties of the exploding wire, as well as the geometry and material properties of the fluid and structure.

Model experiments involving large inelastic deformation of aluminum diaphragms agree well with the theoretical predictions.

Comparison of deformations due to chemical explosives and exploding wires has been made in an effort to establish an ‘equivalence’ between chemical and electrical explosions. The purpose of this is to provide a basis for using small-scale experiments with exploding wires to predict the performance of larger systems using chemical explosives.

The exploding wire appears to provide a precise loading for small-scale structural-model experiments and explosion-forming experiments.

Keywords

Aluminum Mechanical Engineer Explosive Material Property Model Experiment 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Schmidt, R. M. andFyfe, I. M., “An Examination of Dynamic Fracture under Biaxial-strain Conditions,”Experimental Mechanics,13(4),163–167 (1973).Google Scholar
  2. 2.
    Rose, J. L. andChou, P. C., “Study of Cylindrical Stress Waves Generated by Exploding Wires,”Experimental Mechanics,12(2),104–106 (1972).Google Scholar
  3. 3.
    Noland, M. C., “Designing for the High-velocity Metalworking Processes,” Machine Design, 164–182 (August 17, 1967).Google Scholar
  4. 4.
    Zernow, L., “High Velocity Forming,”Machine Design,44,142–143 (Feb. 17,1972).Google Scholar
  5. 5.
    Chace, W. G. andMoore, H. K., Exploding Wires, Plenum Press, New York (1968, 1964, 1962, 1959).Google Scholar
  6. 6.
    Carlson, G. A., “Generation of Maximum Shock Wave Pressure by Exploding Wires,”J. Appl. Phys.,42,2155–2156 (April 1971).Google Scholar
  7. 7.
    McGrath, J. R., “Scaling Laws for Underwater Exploding Wires,”J. Acous. Soc. Amer.,50(3),Part 2,1050–1053 (Sept. 1971).Google Scholar
  8. 8.
    Ezra, A. A., “Principles and Practices of Explosion Forming,” Martin Marietta Internal Report R-64-5 (April 1964).Google Scholar
  9. 9.
    Wittrock, E. P., “Explosive Forming of Thick Walled Domes,” Denver Research Inst., AD 754785 (March 1972).Google Scholar
  10. 10.
    Ezra, A. A., Scaling Laws and Similitude Requirements for Valid Scale Model Work,” ASME Coll., Use of Models and Scaling in Shock and Vibration (Nov. 1963).Google Scholar
  11. 11.
    Cnare, E. C., “Exploding Wire Detonators,”Exploding Wires,3,Plenum Press,New York (1964).Google Scholar
  12. 12.
    Buckingham, E., “On Physically Similar Systems: Illustrations of the Use of Dimensionless Equations,”Physical Rev.,4(4),345–376 (1914).CrossRefGoogle Scholar
  13. 13.
    Sadwin, L. D., Cooley, C. M., Porter, S. J. andStresau, R. H., “Underwater Evaluation of the Performance of Explosives,”Intl. Symp. Mining Res., ed. byG. B. Clark, Pergamon Press, New York (1962).Google Scholar

Copyright information

© Society for Experimental Mechanics, Inc. 1975

Authors and Affiliations

  • C. Wayne Martin
    • 1
  1. 1.Engineering MechanicsUniversity of NebraskaLincoln

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