The present work studies an axisymmetric rotating truncated cone made of functionally graded (FG) porous materials reinforced by graphene platelets (GPLs) under a thermal loading. The problem is tackled theoretically based on a classical linear thermoelasticity approach. The truncated cone consists of a layered material with a uniform or non-uniform dispersion of GPLs in a metal matrix with open-cell internal pores, whose effective properties are determined according to the extended rule of mixture and modified Halpin–Tsai model. A graded finite element method (FEM) based on Rayleigh–Ritz energy formulation and Crank–Nicolson algorithm is here applied to solve the problem both in time and space domain. The thermo-mechanical response is checked for different porosity distributions (uniform and functionally graded), together with different types of GPL patterns across the cone thickness. A parametric study is performed to analyze the effect of porosity coefficients, weight fractions of GPL, semi-vertex angles of cone, and circular velocity, on the thermal, kinematic, and stress response of the structural member.

In this work, a numerical 3D finite element method is developed to investigate the natural frequencies and static responses of saturated FG porous annular elliptical sector plate. 3D elasticity theory is utilized to model the problem. Three various porosity patterns are assumed along the thickness direction such as porosity nonlinear symmetric distribution (PNSD), porosity nonlinear nonsymmetric distribution (PNND), and porosity uniform distribution (PUD). Biot theory of poroelasticity instead of the simple Hooke’s law is applied to describe the relation between stress and strain. To derive the governing equations, finite element approach according to Rayleigh-Ritz energy formulation is applied. A thorough investigation studies the sensitivity of the static behavior and natural frequencies of the plate to different parameters, including the Skempton and porosity coefficients, geometric parameters, and various patterns of porosity.