Analytical analysis of slow and fast pressure waves in a two-dimensional cellular solid with fluid-filled cells.

摘要: Wave propagation in cellular and porous media is widely studied due to its abundance nature industrial applications. Biot's theory for open-cell predicts the existence of two simultaneous pressure waves, distinguished by velocity. A fast wave travels through solid matrix, whereas a much slower carried fluid channels. In closed-cell materials, slow disappears lack continuous path. However, recent finite element (FE) simulations done authors this paper also predict presence waves saturated materials. The not clear. paper, an equivalent unit cell medium with square cells proposed permit analytical description dynamics such material. simplified FE model suggests that fluid-structure interaction can be fully captured using wavenumber-dependent spring support vibrating walls. Using approach, behavior calculated high accuracy, but less numerical effort. Finally, Rayleigh's energy method used investigate coexistence different velocities.