J. Jiang et Md. Olson, NONLINEAR TRANSIENT ANALYSIS OF SUBMERGED CIRCULAR PLATES SUBJECTED TO UNDERWATER EXPLOSIONS, Computer methods in applied mechanics and engineering, 134(1-2), 1996, pp. 163-179
A new coupled finite element and boundary integral formulation is deve
loped for non-linear transient analysis of submerged thin circular pla
tes subjected to underwater explosions. In this new formulation, the g
overning equations of motion of the structure are completely decoupled
from those of wave propagation by applying Kirchhoff's integral equat
ion on the wet surface of the structure, thereby eliminating the need
for modelling the surrounding fluid. Using Kirchhoff thin plate theory
, an axisymmetric ring plate element is formulated, which lakes into a
ccount both geometric and material non-linearities as well as strain-r
ate effects. The scattered pressure field due to the fluid-structural
interaction is calculated by solving the surface integral equation in
the context of element discretization method. The effects of water cav
itation on structural response are included by using an appropriate pr
essure criterion. The time-dependent solution of the coupled fluid-str
ucture system is then solved by applying a staggered solution algorith
m at each time step in a direct time-integration procedure. The propos
ed formulation has been tested for a number of applications and the re
sults obtained are compared with experiments. It is observed that the
new formulation can provide reasonable solutions to both near- and far
-field interaction problems for underwater shock response analysis.