Dynamic and static study of plates made of porous advanced materials reinforced with carbon nanotubes

Abstract

Functionally graded material (FGM) sandwich plates are widely used as structural components in various branches of engineering such as mechanical, aerospace, civil, and naval engineering. To ensure proper design and performance of these structures, it is essential to analyze and understand their behavior. In this thesis, both the static and dynamic behavior of FGM sandwich plate incorporate the effect of porosity distribution and Carbone nanotube (CNT) reinforcement are analyzed using the p-version of the Finite Element Method (p-FEM) based on the First- order Deformation Theory (FSDT). The sandwich plate consists of three layers, where the core layer is made of functionally graded carbon nanotube-reinforced material (FG-CNTR), including three distribution types: Uniform, FG-X, and FG-O. The top and bottom face sheets are composed of a porous functionally graded material (FGM), modeled using five different porosity distributions: Perfect, Imperfect I, …, V. The numerical results demonstrate convergence and are validated through comparison with previously published data, confirming the accuracy of the proposed formulation. The dynamic behavior is analyzed by comparing the results obtained from the p-version of the (FEM) with the mode superposition approach those derived from a newly developed analytical solution formulated within the framework of the Classical Plate Theory (CPT). The effects of several parameters such as the carbon nanotube distribution pattern, porosity model, CNT volume fraction, geometric characteristics, mechanical loading, volume fraction exponent, damping coefficient, and boundary conditions are thoroughly illustrated and analyzed for static and dynamic responses.