ABSTRACT
A semi-analytical design tool is introduced for a rapid analysis of the interaction of a plane shock wave generated by a far-field underwater explosion and the submerged orthotropic plate in both air-backed and water-backed conditions. An efficient numerical scheme called a Nonstandard Finite Difference (NSFD) is adapted to solve the coupled fluid-structure equations involving the first-order Doubly Asymptotic Approximation (DAA1) and the geometric nonlinear structural equations. The First-order Shear Deformation Theory (FSDT) is considered along with the simply-supported boundary condition for the orthotropic rectangular plate. The applicability of one-to-one approximation, which is used to simplify the nonlinear mode-coupled equations, is investigated. The semi-analytical approach is then validated by comparing with LS-DYNA/USA (DAA1) results for three case studies: rigid plate-spring system, deformable steel and composite plates subjected to a plane shock wave. Finally, the advantages as well as the limitations of the present approach are discussed.
