Hoang Minh Tan, Bonnet Guy, Tuan Luu Hoang, Perrot Camille
Université Paris-Est, Laboratoire Modélisation et Simulation Multi Echelle, MSME UMR 8208 CNRS, 5 bd Descartes, 77454 Marne-la-Vallée, France.
J Acoust Soc Am. 2014 Jun;135(6):3172-85. doi: 10.1121/1.4872296.
It is shown that three-dimensional periodic unit cells (3D PUC) representative of transport parameters involved in the description of long wavelength acoustic wave propagation and dissipation through real foam samples may also be used as a standpoint to estimate their macroscopic linear elastic properties. Application of the model yields quantitative agreement between numerical homogenization results, available literature data, and experiments. Key contributions of this work include recognizing the importance of membranes and properties of the base material for the physics of elasticity. The results of this paper demonstrate that a 3D PUC may be used to understand and predict not only the sound absorbing properties of porous materials but also their transmission loss, which is critical for sound insulation problems.
结果表明，代表长波长声波在真实泡沫样品中传播和耗散所涉及的传输参数的三维周期性单元胞（3D PUC），也可作为估计其宏观线性弹性性质的一个切入点。该模型的应用在数值均匀化结果、现有文献数据和实验之间产生了定量的一致性。这项工作的关键贡献包括认识到膜和基材特性对弹性物理的重要性。本文的结果表明，3D PUC不仅可用于理解和预测多孔材料的吸声特性，还可用于预测其传输损耗，这对于隔音问题至关重要。
