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Gurney equations : ウィキペディア英語版
Gurney equations
The Gurney equations are a set of mathematical formulas used in explosives engineering to relate how fast an explosive will accelerate a surrounding layer of metal or other material when the explosive detonates. This determines how fast fragments are released by military explosives, how quickly shaped charge explosives accelerate their liners inwards, and in other calculations such as explosive welding where explosives force two metal sheets together and bond them.
The equations were first developed in the 1940s by Ronald Gurney

and have been expanded on and added to significantly since that time.
== Underlying physics ==
When an explosive surrounded by a metallic or other solid shell detonates, the outer shell is accelerated both by the initial detonation shockwave and by the expansion of the detonation gas products contained by the outer shell. Gurney modeled how energy was distributed between the metal shell and the detonation gases, and developed formulas that accurately describe the acceleration results.
Gurney made a simplifying assumption that there would be a linear velocity gradient in the explosive detonation product gases. This has worked well for most configurations, but see the section Anomalous predictions below.

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