Wave propagation response of multi-scale hybrid nanocomposite shell by considering aggregation effect of CNTs

This research presents the agglomeration effect of reinforcements on wave propagation analysis of multi-scale hybrid nanocomposite shell based on first-order shear deformable theory (FSDT) of shell for the first time. The nanocomposite shell is consist of carbon fiber (CF) as macro reinforcement, carbon nanotubes (CNTs) as nanoreinforcement and epoxy as an initial matrix. Eshelby-Mori-Tanaka method and rule of mixture are implemented in order to predict the equivalent mechanical properties of nanocomposite shell. To derive the motion equation of shell, FSDT is applied and governing equations are attained by employing Hamilton's principle. Dispersion solution is calculated by solving eigenvalue problem and also analytical method is utilized to solve the governing equations and finally wave frequency and phase velocity of nanocomposite shell can be achieved. In detail, several illustrations are presented which influence various parameters such as longitudinal and circumferential wave number, the volume fraction of CF, volume fraction of CNTs inside the cluster and so on are investigated. Communicated by Chandrika Prakash Vyasarayani.

Automated summary

This study introduces the agglomeration effect of reinforcements on wave propagation analysis of multi-scale hybrid nanocomposite shell using FSDT theory for the first time. Equivalent mechanical properties are predicted using Eshelby-Mori-Tanaka method and rule of mixture, and wave frequency and phase velocity are achieved through solving eigenvalue problem. Illustrations are provided to investigate various parameters such as longitudinal and circumferential wave number, volume fraction of CF, volume fraction of CNTs inside the cluster, etc.