Experimental Mechanics

, Volume 10, Issue 11, pp 458–466 | Cite as

Containment of explosions in water-filled right-circular cylinders

Paper covers the results of comprehensive experimental and analytical program on explosion containment of pressure vessels which are capable of undergoing large plastic deformations before rupture
  • James F. Proctor
Article

Abstract

The formulation of basic explosion-containment equations for idealized water-filled right-circular cylinders is summarized. The equations express explosive-charge weight as a function of vessel geometry and conventional material properties. Extensive experiments with models verified the relations for a wide range of vessels, materials and sizes. The basic containment relations were modified to provide safe and reasonable solutions for less-adverse accident conditions and for real vessels, i.e., vessels with welds, nozzles and end constraints.

Keywords

Mechanical Engineer Material Property Fluid Dynamics Extensive Experiment Conventional Material 

Nomenclature

C

proportionality constant

Dh

deformation-energy density of unit ring, ft-lb/ft3

g

acceleration due to gravity, ft/sec2

ho

vessel-wall thickness, ft

K

explosive constant

I

specific impulse absorbed by unit ring, lb sec/ft2

If

specific impulse of explosion in free water, lb sec/in.2

L

vessel length, ft

p

pressure, psfg

Rc

charge radius, ft

Re

external radius of vessel, ft

Ri

internal radius of vessel, ft

Rin

numerical value ofR i in feet

t

time, sec

vo

initial radial velocity of unit ring, ft/sec

w

weight density of vessel material, lb/ft3

W

charge weight, lb

\(\overline W _1 \)

charge weight for ideal vessels, lb

\(\overline W _R \)

charge weight for real vessels, lb

β

explosive-power constant

ε

conventional instantaneous radial strain of unit ring, in./in.

u

conventional ultimate strain of vessel material, in./in.

\(\dot \in _o \)

initial strain rate of unit ring, sec−1

ζ

functional dependence of ψ onR i /h o

1

efficiency-factor function

2

deformation-energy function

σe

effective stress, psi

σt

stress function defined by eq (9), psi

σu

conventional ultimate stress of vessel material, psi

σy

conventional yield stress of vessel material, psi

ψ

lumped parameter function

ω

duration of energy release, msec

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References

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Copyright information

© Society for Experimental Mechanics, Inc. 1970

Authors and Affiliations

  • James F. Proctor
    • 1
  1. 1.Air/Ground Explosions DivisionU.S. Naval Ordnance LaboratorySilver Spring

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