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A History of Research and a Review of Recent Developments

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96<br />

Structural loading from local explosions<br />

where ß is a time constant, <strong>and</strong> ρ is mass density. Also,<br />

V 0 =p i /(ρc),<br />

(5.12)<br />

<strong>and</strong> experiments show that α�1.0 <strong>and</strong> ß�0.4.<br />

Free-field stresses <strong>and</strong> ground motions for charges exploding close to a<br />

structure in soil are given by the following expressions:<br />

(5.13)<br />

where I 0 is peak impulse, n is an attenuation coefficient <strong>and</strong> f a factor that<br />

depends on the depth below the surface <strong>of</strong> the charge, <strong>and</strong> is sometimes known<br />

as the ground shock coupling factor. It is the ratio <strong>of</strong> the ground shock<br />

Figure 5.5 Peak stresses for underground explosions in various types <strong>of</strong> soil (from<br />

Drake <strong>and</strong> Little, ref. 5.5).

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