School of Mechanical and Manufacturing Engineering, UNSW Sydney, New South Wales, Australia.
Platforms Division, Defence Science and Technology Group, Melbourne, Australia.
J Acoust Soc Am. 2023 Jul 1;154(1):108-114. doi: 10.1121/10.0019939.
Soft elastic materials embedded with resonant inclusions are widely used as acoustic coatings for maritime applications. A versatile analytical framework for resonance scattering of sound waves in a soft material by a lattice of hard inclusions of complex shape is presented. Analogies from hydrodynamics and electrostatics are employed to derive universal scaling relations for a small number of well-known lumped parameters that map resonant scattering of a complex-shaped hard inclusion to that of a sphere. Multiple scattering of waves between inclusions in proximity is also considered. The problem is then treated using an effective medium theory, viz, a layer of hard inclusions is modeled as a homogenized layer with some effective properties. The acoustic performance of hard inclusions for a range of shapes with spheres of the same volume are compared. Results obtained using this approach are in good agreement with finite element simulations.
软弹性材料中嵌入谐振子被广泛用作海洋应用的声涂层。本文提出了一种通用的分析框架，用于研究软材料中晶格状硬夹杂的声波共振散射。从流体力学和静电学中得到的类比，导出了少数几个著名的集中参数的通用比例关系，这些关系将复杂形状硬夹杂的共振散射映射到球体的共振散射。还考虑了临近夹杂之间的波的多次散射。然后使用有效介质理论来处理这个问题，即硬夹杂层被建模为具有一些有效性质的均匀层。比较了一系列具有相同体积球体的形状的硬夹杂的声学性能。该方法得到的结果与有限元模拟吻合较好。
