A SURVEY ON FREQUENCY-DEPENDENT DISSIPATION OF SOFT MATTER VIBRATION AND ACOUSTICS

摘要

The classical damping models of vibration and acoustic wave propagation in lossy medium are only applicable to the two particular cases of the frequencyindependent and frequency-squared dependent energy dissipation. However, many experimental and field measurements show that the energy dissipation in viscoelastic soft matters, also known as complex fluids, obeys the arbitrary power law frequency dependence. In recent decades, lots of efforts are made on developing appropriate models to describe such “anomalous” attenuation, for instance, frequency domain methods, adaptive proportional damping model, multiple relaxation models, time fractional derivative model, Szabo’s time convolutional integral model, modified Szabo’s model, and fractional Laplacian wave model. All these models are phenomenological in nature and do not necessarily reflect the physics mechanism underlying arbitrary power law attenuation. In this survey paper, we will review the above-mentioned power law frequency-dependent attenuation models and compared their merits and demerits and consequently present the perspective in this area of research and engineering applications.