软介质中共振内含物晶格的声散射。

Sound scattering by a lattice of resonant inclusions in a soft medium.

作者信息

Skvortsov Alex, MacGillivray Ian, Sharma Gyani Shankar, Kessissoglou Nicole

机构信息

Defence Science and Technology, 506 Lorimer Street, Fishermans Bend, Victoria 3207, Australia.

School of Mechanical and Manufacturing Engineering, University of New South Wales, Sydney, New South Wales 2052, Australia.

出版信息

Phys Rev E. 2019 Jun;99(6-1):063006. doi: 10.1103/PhysRevE.99.063006.

DOI:10.1103/PhysRevE.99.063006

PMID:31330759

Abstract

We present a generalized analytical model to investigate acoustic scattering by a lattice of voids of arbitrary shape in a viscoelastic matrix. To this end, we represent the lattice of voids using effective boundary conditions that incorporate multiple scattering effects. Applying analogies between acoustics and electrostatics, the model is derived for voids of nonspherical shape and different lattice arrangements. Our analytical results are compared with those from numerical simulations as well as experimental results from the literature.

摘要

我们提出了一个广义分析模型，用于研究粘弹性基体中任意形状空洞晶格的声散射。为此，我们使用包含多重散射效应的有效边界条件来表示空洞晶格。通过类比声学和静电学，推导出了非球形空洞和不同晶格排列的模型。我们将分析结果与数值模拟结果以及文献中的实验结果进行了比较。