An analytical method based on the wave theory is proposed to calculate the pressure at the interfaces of coated plate subjected to underwater weak shock wave. The method is carried out to give analytical results by summing up the pressure increment, which can be calculated analytically, in time sequence. The results are in very good agreement with the finite element (FE) predictions for the coating case and Taylor’s results for the noncoating case, which validate the method that is suitable for underwater weak shock problem. On the other hand, Taylor’s results for the coating case are invalid, which indicates a potential application field for the method. The extension of the analytical method to q-layer systems and dissipation case is also outlined. 1. Introduction Coated plates are widely used in the panels of naval vessels in order to make better protection for shock input such as underwater explosion (UNDEX). Therefore, systematic understanding of wave propagation mechanism in multilayered mediums is of great significance in guiding us to a better design for the coatings. A lot of researches have been performed to study the response of the plane plates that interacted with underwater shock wave. Taylor [1] studied the response of air-backed plate that interacted with weak shock and obtained a one-dimensional analytical solution. Snay and Christian [2] improved Taylor’s solution by considering the strong shock that interacted with the air-backed plates and the results were obtained by method of characteristics. Schechter and Bort [3] considered plates subjected to weak shock with air-backed or water-backed boundary. Huang [4] studied the initial transient response of large elastic plates under spherical shock wave by using the Laplace and Hankel transformations. Rajendran [5] studied the reloading effects on plane plates subjected to noncontact UNDEX. However, the above-mentioned analytical method cannot be applied to coated plates. Chen et al. [6] built an analytical model to investigate the water blast response of one-dimensional marine structures coated with elastic foam. In their studies, the foam coating was modeled by a group of concentrated masses separated by parallel massless nonlinear spring and damper, and the first-order double asymptotic approximation (DAA) method was used to consider the fluid-structure interaction effects. But the results which were only the profile of the real results did not reveal characteristics of wave propagation. Analytical solutions of transient wave propagation in multilayered mediums have a series of results
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