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A History of Research and a Review of Recent Developments

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xii<br />

Notation<br />

m mass <strong>of</strong> projectile<br />

me equivalent mass<br />

n attenuation coefficient circumferential modal index<br />

p pressure, overpressure, stress in soil, vertical penetration<br />

pa atmospheric pressure<br />

pd drag pressure<br />

pe duct entrance static pressure<br />

pi initial pressure, peak stress in soil<br />

pm peak pressure<br />

p0 peak overpressure, static yield pressure<br />

pr reflected pressure<br />

ps pressure outside duct<br />

p1 instantaneous pressure, peak instantaneous pressure pressure at<br />

tunnel entrance<br />

pmax maximum pressure<br />

px peak pressure at a distance x along a tunnel<br />

pw internal overpressure in a shock tube<br />

q dynamic pressure due to blast winds<br />

qL equivalent uniformly distributed load<br />

qD dead load per metre<br />

r pipe radius radial distance<br />

s distance charge spacing<br />

t time slab thickness; thickness <strong>of</strong> casing time measured from<br />

moment <strong>of</strong> arrival <strong>of</strong> blast wave<br />

ta time <strong>of</strong> arrival <strong>of</strong> shock<br />

tA intervals<br />

tc time <strong>of</strong> reflection effects<br />

td duration <strong>of</strong> blast pressure<br />

tp minimum slab thickness<br />

tm time <strong>of</strong> maximum response<br />

t0 time for shock front to reach given point<br />

tr duration; rise time<br />

u dilational seismic velocity<br />

ū shockwave velocity<br />

ua speed <strong>of</strong> sound in air<br />

up permanent horizontal movement<br />

outburst speed<br />

u x

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