The jump-off velocity of an impulsively loaded spherical shell

Chabaud, Brandon M.¹  Brock, Jerry S.¹ 

[1] Los Alamos National Laboratory

关键词: BOUNDARY CONDITIONS;    VELOCITY;    MATERIALS;    ELASTICITY;   

DOI  :  10.2172/1038870
RP-ID  :  LA-UR-12-20581
PID  :  OSTI ID: 1038870
Others  :  TRN: US201209%%274

美国|英语

来源: SciTech Connect

【 摘 要 】

We consider a constant temperature spherical shell of isotropic, homogeneous, linearly elastic material with density {rho} and Lame coefficients {lambda} and {mu}. The inner and outer radii of the shell are r{sub i} and r{sub o}, 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) = P{sub 0{sup e}}{sup -{alpha}t}, where {alpha} {ge} 0. We notice that a constant pressure wave P(t) = P{sub 0} is a special case ({alpha} = 0) of a decaying pressure wave. Both of these boundary conditions are considered in [3].