The Jump-Off Velocity of an Impulsively Loaded Spherical Shell
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
We consider a constant temperature spherical shell of isotropic, homogeneous, linearly elastic material with density ρ and Lamé coefficients λ and μ. The inner and outer radii of the shell are ri and ro, respectively. We assume that the inside of the shell is a void. On the outside of the shell, we apply a uniform, time-varying pressure p(t). We also assume that the shell is initially at rest. We want to compute the jump-off time and velocity of the pressure wave, which are the first time after t = 0 at which the pressure wave from the outer surface reaches the inner surface. This analysis computes the jump-off velocity and time for both compressible and incompressible materials. This differs substantially from [3], where only incompressible materials are considered. We will consider the behavior of an impulsively loaded, exponentially decaying pressure wave p(t) = P0e-αt, where α ≥ 0. We notice that a constant pressure wave P(t) = P0 is a special case (α = 0) of a decaying pressure wave. Both of these boundary conditions are considered in [3].
- Research Organization:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Organization:
- USDOE National Nuclear Security Administration (NNSA)
- DOE Contract Number:
- AC52-06NA25396
- OSTI ID:
- 1038870
- Report Number(s):
- LA-UR--12-20581
- Country of Publication:
- United States
- Language:
- English
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