On the wave propagation in a higher-order multi-phase curved porous system

Abstract

The porosity affecting the vibrational characteristics of structures should be considered due to the fact that these porosities can happen during the manufacturing process. The solid body and the liquid or gas compose the porous materials. In this regard, for the first time, wave propagation corresponding to the curved panel made of reinforced porous composites is investigated. Higher-order shear deformable theory (HSDT) is employed in order to extract the formulation. The effective material is attained by employing the rule of the mixture as well as the modified Halpin–Tsai model. Also, equations of motions that are solved analytically are extracted via Hamilton’s principle. The impacts of radius-to-total thickness ratio, the weight fraction of carbon nanotubes (CNTs), porosity factor, that different composite patterns, the pattern of porosity, as well as carbon fibers on phase velocity behavior corresponded with a reinforced curved porous panel are studied. The presented results can be employed in ultrasonic inspection techniques as well as structural health monitoring.