Comments on the Doubly Asymptotic Approximation: I. Kinetic Energy at Pressure Cutoff.
Final rept. Oct 80-May 81,
NAVAL SURFACE WEAPONS CENTER SILVER SPRING MD
Pagination or Media Count:
The ultimate objective of this work is the direct prediction of the onset and details of submarine pressure hull rupture caused by underwater explosive attack. The immediate objective is to bring out some of the implications of an important analytical tool known as the Doubly Asymptotic Approximation. This report uses the Doubly Asymptotic Approximation to consider the shock wave energy available for damage in structures attacked by underwater warheads. In particular, we estimate the cutoff kinetic energy for an infinite unrestrained air-backed flat plate on which an exponentially decaying acoustic wave is incident. A comparison is given for the titanium and steel at equal plate thickness. Similarly, a comparison is given for conventional warheads and copper-lined shaped charge warheads with equal peak pressures. Over such a range of conditions there is a greatly varying ratio of pressure decay times to structural response times. As expected, there is also considerable variation in the energy developed in the plate.
- Numerical Mathematics