Scattering of flexural wave in a thin plate with multiple circular inclusions by using the multipole method

Multiple scattering of flexural waves on Mindlin plates with circular scatterers

“…The level of analytical complexity rises substantially when one aims to study the flexural wave scattering by multiple scatterers. Different investigators [14–18] analyzed the multiple scattering of flexural waves and presented some numerical results for the cases of two or three circular inclusions. Peng [19] applied the acoustic wave propagator method to the problem of flexural wave scattering by nine patches on a plate.…”

Multiple scattering and stop band characteristics of flexural waves on a thin plate with circular holes

“…In contrast to the problems of flexural wave scattering by a single inclusion, the corresponding studies for multiple inclusions are more complicated and relatively scarce in the literature. The foregoing works include those of Lee and Chen using the null-field integral equation method [15] and the multipole method [16], although the numerical examples demonstrated by them are limited to the scattering by two inclusions. Peng [17] applied the so-called acoustic wave propagator method to analyze the multiple scattering of a flexural wave by nine cylindrical patches on a plate.…”

“…Recently, Cai and Hambric [22] analyzed the multiple scattering of the flexural wave by 21 circular inclusions arranged on a square lattice and the corresponding stop band formation. The works mentioned above [15][16][17][18][19][20][21][22] were all based on the Kirchhoff plate theory.…”