A Reciprocity Relation for Fluid-Loaded Elastic Plates That Contain Rigid Defects

Underwater sound scattering and absorption by a coated infinite plate with a distributed inhomogeneity

“…Two landmark papers were those by Feit and Cushieri, 12,13 who made a thorough investigation into sound scattering by distributed inhomogeneities in both near and far fields, and compared scattering by different types (e.g., mass and stiffness) and scales (i.e., the shape of the inhomogeneity distribution) of inhomogeneities and various spatial distributions. There were other investigations into sound scattering by various distributed inhomogeneities, [14][15][16][17] but most of these were restricted to rigid defects. For example, Andronov 14 considered sound scattering by an elastic plate supported by a rigid narrow rib.…”

“…Again, both studies assumed a rigid obstacle, so no absorbed energy was involved in the structural wave scattering by the obstacle. Craster and Williams 17 investigated the effects of rigid defects, in the forms of line defects or strips, on the scattering of acoustic, flexural, or leaky waves, and the reciprocity relation of the far-field scattering generated by these waves.…”

“…As a result, sound scattering by a distributed inhomogeneity [12][13][14][15][16][17] has been a topic of research since 1996. Two landmark papers were those by Feit and Cushieri, 12,13 who made a thorough investigation into sound scattering by distributed inhomogeneities in both near and far fields, and compared scattering by different types (e.g., mass and stiffness) and scales (i.e., the shape of the inhomogeneity distribution) of inhomogeneities and various spatial distributions.…”

“…Sound scattering from an infinite plate with a local inhomogeneity has been studied extensively. [4][5][6][7][8][9][10][11][12][13][14][15][16][17] Most investigations were limited to sound scattering by a concentrated line inhomogeneity. [4][5][6][7][8][9][10] Among these, Seren et al 8 considered the case of an elastic beam and investigated the resonance and anti-resonances effects of the beam impedance on the scattering of the sound wave.…”

Underwater sound radiation from an elastically coated plate with an embedded and distributed inhomogeneity

“…[1][2][3][4][5][6][7][8][9][10][11] In the earlier investigations, the inhomogeneities were represented by either a crack 3 or a rigid obstacle 7-10 in the material. Andronov et al 3 investigated acoustic scattering by an elastic plate with a narrow crack.…”