Skip to main content

Reconciling Mott-Statistical and Energy-Based Fragmentation

  • Chapter
  • 1405 Accesses

Part of the book series: Shock Wave and High Pressure Phenomena ((SHOCKWAVE))

Abstract

In earlier sections the statistical fragmentation theory of Mott was considered in some depth. An alternative fragmentation theory based on energy balance principals has also been pursued by the present author and others. As posed, the two theories appear to be based on strikingly different principals. In the present section attempts are pursued to understand and reconcile differences between the two theories. For the purpose of this reconciliation the essential features of both theories are summarized. This summary represents a condensation of same the material provided in the previous sections.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   189.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   249.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   249.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Barker, L. M. and Hollenbach, R. E. (1972), Velocity Interferometer for Measuring the Velocity of any Re.ecting Surface, J. Appl. Phys., 43, 4669–4680.

    Article  Google Scholar 

  • Grady, D. E. and Olsen, M. L. (2003), A Statistical and Energy Based Theory of Dynamic Fragmentation, Int. J. Eng. Mech., 29, 293–306.

    Google Scholar 

  • Grady, D. E., Kipp, M. E., and Benson, D. A. (1984), Energy and Statistical Effects in the Dynamic Fragmentation of Metal Rings, Proceedings of the Conference of the Mechanical Properties of High Rates of Strain, Oxford, 1984, Inst. Phys. Conf. Ser. No. 70, 315–320.

    Google Scholar 

  • Hahn, G. J. and Shapiro, S. S. (1967), Statistical Models in Engineering, John Wiley & Sons, New York.

    Google Scholar 

  • Johnson, W. A. and Mehl, R. F. (1939), Reaction Kinetics in Processes of Nucleation and Growth, Trans. AIMME, 135, 414–458.

    Google Scholar 

  • Kipp, M. E. and Grady, D. E. (1985), Dynamic Fracture Growth and Interaction in One Dimension, J. Mech. Phys. Solids 33 (4), 399–415.

    Article  Google Scholar 

  • Kipp, M. E. and Grady, D. E. (1986), Random Flaw Nucleation and Interaction in One Dimension, in Metallurgical Applications of Shock-Wave and High-Strain-Rate Phenomena, L.E. Murr, K.P. Staudhammer, and M.A. Meyers, eds., Marcel Dekker, Inc., 781–791.

    Google Scholar 

  • Mott, N. F. (1943), A Theory of the Fragmentation of Shells and Bombs, Ministry of Supply AC4035, May.

    Google Scholar 

  • Mott, N. F. (1947), Fragmentation of Shell Cases, Proc. Royal Soc., A189, 300–308, January.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer

About this chapter

Cite this chapter

Grady, D. (2006). Reconciling Mott-Statistical and Energy-Based Fragmentation. In: Fragmentation of Rings and Shells. Shock Wave and High Pressure Phenomena. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-27145-1_5

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-27145-1_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-27144-4

  • Online ISBN: 978-3-540-27145-1

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics