Transient Thermal and Mechanical Stress Analysis of 2D-Functionally Graded Finite Cylinder: A Truly Meshless Formulation

The applications of thick cylinders are increasing in many industries such as aero-space, marine, automotive and oil industry. The working conditions in some cases need design and manufacturing of cylinders with functionally graded properties. In this study, the transient axi-symmetric response of two-dimensional functionally graded (2D-FG) thick hollow cylinders in which material properties are graded in radial and axial directions is studied. The cylinder is subjected to axi-symmetric transient thermal and mechanical loading conditions. The governing equations of the cylinder are obtained from the equilibrium equations of elasticity in the weak form. The meshless local Petrov–Galerkin formulation is presented to discretize the governing equations of 2D-FG cylinder to a system of linear differential equations. The Crank–Nicolson and the Newmark method are employed for time integration of the equations. The accuracy of the results is examined by comparison of the predictions with analytical methods and available results in the open literature. In the numerical results, steady state and transient response of 2D-FG cylinder which is subjected to time-dependent mechanical load and transient thermal load are investigated and the propagation of displacement and stress waves in the FG cylinder are studied. It is seen that the presented formulation is accurate and efficient for steady state and transient response analysis of FG cylinders in thermo-mechanical loading conditions. The effect of FG parameters and loading parameter on the response of the cylinder is studied.