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A History of Research and a Review of Recent Developments

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xiv<br />

Notation<br />

Q work done during expansion <strong>of</strong> explosive gases<br />

R radial distance from the centre <strong>of</strong> an explosion distance above<br />

ground<br />

Re effective slant range<br />

Rme maximum resistance<br />

S unsupported span soil constant cross-sectional area <strong>of</strong> a tunnel<br />

T time <strong>of</strong> penetration thickness <strong>of</strong> slab decay time constant<br />

T1 period <strong>of</strong> oscillation<br />

T2 period <strong>of</strong> oscillation<br />

Te static temperature<br />

Ts static temperature<br />

Tte stagnation temperature<br />

Tts stagnation temperature<br />

V impact velocity chamber volume; volume<br />

Vc critical velocity<br />

VL propagation velocity<br />

Vs striking velocity<br />

W weight yield <strong>of</strong> explosion in megatons<br />

Wc casing weight<br />

Wf fragment weight<br />

Wl mass per unit length<br />

Wp total projectile weight<br />

X transverse distance<br />

Y radial flow <strong>of</strong> water<br />

GREEK LETTERS<br />

a peak stress attenuation factor angle between a radial line <strong>and</strong> the<br />

vertical time constant factor applied to distance to establish peak<br />

pressure at tunnel entrances<br />

ß time constant<br />

γ ratio <strong>of</strong> specific heats<br />

γ ratio <strong>of</strong> specific heats<br />

γ0 gas constant for expansion chamber<br />

γ3 gas constant for compression chamber<br />

θ angle <strong>of</strong> orientation <strong>of</strong> a bomb time for pressure to fall to half<br />

initial value<br />

µ refractive index

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