Renovation of modified Biot's theory for modeling of the nanocomposite porous materials: A theoretical and experimental acoustical study

Mirmasoumi, Mohamad; Hasani Baferani, Abolfazl; Ohadi, Abdolreza

doi:10.22064/tava.2025.2053152.1261

Renovation of modified Biot's theory for modeling of the nanocomposite porous materials: A theoretical and experimental acoustical study

Document Type : Research Article

Authors

Mohamad Mirmasoumi ¹

Abolfazl Hasani Baferani ²

Abdolreza Ohadi ¹

¹ Acoustics Research Lab., Department of Mechanical Engineering, Amirkabir University of Technology, Tehran, Iran.

² Department of Mechanical Engineering, Tafresh University, Tafresh, Iran.

10.22064/tava.2025.2053152.1261

Abstract

In this paper, the modified Biot’s theory is revised to predict the acoustic performance of nanocomposite porous materials more accurately, based on the nonlocal elasticity theory. The governing equations are derived for a transversely isotropic porous medium. The transfer matrix method is developed for the first time to obtain the absorption coefficient by introducing two non-local parameters, solid and fluid, to consider non-local effects. Subsequently, several nanocomposite foams are produced by various multiwall carbon nanotubes to validate the theoretical results. Different mechanical, acoustical, and non-acoustical properties of produced samples have been experimentally measured or calculated. Sound absorption for various solid and fluid nonlocal parameters is presented and compared with the corresponding absorption coefficient experimentally obtained from the impedance tube test. The obtained results show that by ignoring the fluid nonlocal effect, the experimental results agree well with the theoretical predictions based on modified Biot’s theory in wave propagation for large values of the solid nonlocal parameters.

Highlights

Wave propagation in transversely isotropic nanocomposite porous material is modeled.
Modified Biot’s equations are expanded considering solid/fluid nonlocal parameters.
Modified Biot’s equations are solved using transfer matrix method for the first time.
Several nanocomposite foams by various multiwall carbon nanotubes are considered.
A strategy for converging theoretical predictions with experimental results is suggested.
Correlation of results by weakening or ignoring the fluid nonlocal parameter is found.