A coupled closed-form/Doubly Asymptotic Approximation approach for the response of orthotropic plates subjected to an underwater explosion

A closed-form analytical solution procedure is proposed to solve the coupled fluid-structure interaction (FSI) equations that involve first-order Doubly Asymptotic Approximation (DAA1) formulation. An efficient method comprised of nonstandard finite difference (NSFD) scheme applied. First all, are developed analyze response a rigid mass-spring oscillator in an air-backed condition when it subjected plane shock exponential wave coming from far-field underwater explosion. After validating results with LS-DYNA/USA (DAA1), these extended determine two-dimensional, simply-supported rectangular plate, and then tested on isotropic orthotropic plates within small deflection regime. Parametric studies also performed by varying load decay times, peak pressures, as well aspect ratios plate. Finally, advantages limitations formulae exposed along suggestions for future work.