Estimation of Shock Velocity and Pressure of Detonations and Finding Their Flow Parameters

Authors: Mahmoud Zarrini, R. N. Pralhad

Abstract:

In this paper, mathematical modeling of detonation in the ground is studied. Estimation of flow parameters such as velocity, maximum velocity, acceleration, maximum acceleration, shock pressure as a result of an explosion in the ground have been computed in an appropriate dynamic model approach. The variation of these parameters with the diameter of detonation place (L), density of earth or stone (¤ü), time decay of detonation (T), peak pressure (Pm), and time (t) have been analyzed. The model has been developed from the concept of underwater explosions [Refs. [1]-[3]] with appropriate changes to the present model requirements.

Keywords: Shock velocity, detonation, shock acceleration, shock pressure.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1058897

References:

[1] R. S. Hollyer, Direct shock-wave damage to merchant ships from noncontact underwater explosion. Trans SNAME; 67, 773-84, 1959.
[2] K. Ramajeyathilagama, C.P. IVendhanb, Deformation and rupture of thin rectangular plates objected to underwater shock. International Journal of Impact Engineering: 30, 699719, 2004.
[3] C. F. Hung, P.Y. Hsu and J.J. Hwang-Fuu, Elastic shock response of an air-backed plate to underwater explosion (in detonation file). Trans SNAME: 151-158, 2005.
[4] J.M.Di Maio Vincent, Gunshot Wounds. CRC Press, 2000.
[5] Kneubher and Sellier, Wound ballistics. Elsevier, 2001.
[6] M. F. Kannien, C.H. Popelar, Advanced fracture mechanics. Oxford University Press, 1985.
[7] F. M. White, Fluid Mechanics. Mc-Graw-Hill, 2003.
[8] http://en.wikipedia.org/wiki/Earth
[density of earth and Geologic layers of the Earth]
[9] http://www.worldstonex.com/en/InfoItem.asp?ICat=2ArticleID=178
[Sound velocity in earth]