Abstract

Porous materials are widely used in the passive noise control field as sound absorbers. Conventional models of porous materials are assumed to have a rigid frame and to satisfy finite bulk elasticity. However, it may be the case that when high-frequency sound is applied to porous materials for nanotechnology applications, the classical theory of elasticity cannot be satisfied. Generalized continuum theories, such as coupled stress theory and micropolar theory, have additional degrees of freedom compared with classical elasticity. It is hence assumed that such theories are applicable to composites with granular structure. In this study, two of the six material constants are obtained from experimental results on micropolar porous solids by Lakes. At the same time, a theoretical analysis concerning reflected and transmitted fields of an incident longitudinal plane wave propagating in elastic-micropolar porous media has been investigated. The results show that two fields are affected by micropolar porous characteristics. The boundary value problem of micro elasticity is also investigated in this paper.

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