Both conventional and negative Poisson ’s ratio foams exhibit dispersion of acoustic waves, as well as cut-off frequencies, at which the group velocity tends to zero. This macroscopic behavior is attributed to micro-vibration of the foam cell ribs. The purpose of this article is to develop a micromechanical model of the cut-off frequency. This model is based on the resonance of ribs which may be straight, curved, or convoluted. As foam cell ribs become more curved, the cut-off frequency decreases. Therefore foams with curved or convoluted ribs are expected to provide superior performance in applications involving the absorption of sound.
Micromechanical Analysis of Dynamic Behavior of Conventional and Negative Poisson’s Ratio Foams
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Chen, C. P., and Lakes, R. S. (July 1, 1996). "Micromechanical Analysis of Dynamic Behavior of Conventional and Negative Poisson’s Ratio Foams." ASME. J. Eng. Mater. Technol. July 1996; 118(3): 285–288. https://doi.org/10.1115/1.2806807
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