Liupekevicius R, van Dommelen J A W, Geers M G D, Kouznetsova V G
Mechanical Engineering, Eindhoven University of Technology, The Netherlands.
Philos Trans A Math Phys Eng Sci. 2024 Sep 23;382(2279):20230368. doi: 10.1098/rsta.2023.0368. Epub 2024 Aug 12.
A reduced-order homogenization framework is proposed, providing a macro-scale-enriched continuum model for locally resonant acoustic metamaterials operating in the subwavelength regime, for both time and frequency domain analyses. The homogenized continuum has a non-standard constitutive model, capturing a metamaterial behaviour such as negative effective bulk modulus, negative effective density and Willis coupling. A suitable reduced space is constructed based on the unit cell response in a steady-state regime and the local resonance regime. A frequency domain numerical example demonstrates the efficiency and suitability of the proposed framework.This article is part of the theme issue 'Current developments in elastic and acoustic metamaterials science (Part 2)'.
提出了一种降阶均匀化框架，为在亚波长区域工作的局部共振声学超材料提供了一个宏观尺度增强的连续体模型，用于时域和频域分析。均匀化连续体具有非标准本构模型，可捕捉超材料行为，如负有效体积模量、负有效密度和威利斯耦合。基于稳态和局部共振状态下的单胞响应构建了合适的降维空间。一个频域数值例子证明了所提框架的有效性和适用性。本文是主题为“弹性和声学超材料科学的当前发展（第2部分）”的一部分。
