Abstract
Abstract This study represents a numerical analysis of stress and strain in the functionally graded material (FGM) hollow cylinder subjected to two different temperature profiles and inhomogeneity parameter. The thermo-mechanical properties of a cylinder are assumed to vary continuously as power law function along the radial coordinate of a cylinder. Based on equilibrium equation, Hooke's law, stress-strain relationship in the cylinders, and other theories from mechanics second order differential equation is obtained that represents the thermoelastic field in hollow FGM cylinder. To find a numerical solution of governing differential equation, the finite element method (FEM) with standard discretization approach is used. The analysis of numerical results reveals that stress and strain in the FGM cylinder are significantly depend upon variation made in temperature profile and inhomogeneity parameter n. The results show good agreement with results available in the literature. It is shown that thermoelastic characteristics of the FGM cylinder are controlled by controlling the value of the above discussed parameters. Moreover, these results are very useful in various fields of engineering and science as FGM cylinders have a wide range of applications in these fields.
Highlights
This study represents a numerical analysis of stress and strain in the functionally graded material (FGM) hollow cylinder subjected to two different temperature profiles and inhomogeneity parameter
Hooke’s law, stress-strain relationship in the cylinders, and other theories from mechanics second order differential equation is obtained that represents the thermoelastic field in hollow FGM cylinder
The analysis of numerical results reveals that stress and strain in the FGM cylinder are significantly depend upon variation made in temperature profile and inhomogeneity parameter n
Summary
Graded materials were developed by a group of researchers in Japan by taking thermo-mechanical properties varying through thickness. Rahimi and Nejad [10] found an exact solution to present thermal stresses in a hollow rotating thick-walled FGM cylinder for different values of material properties by using the theory of elasticity under the effect of internal and external pressure. Sharma et al [11,12,13] made thermoelastic characteristics analysis with help of finite element method in FGM disk under the influence of Kibel number, thickness, angular speed and temperature distributions under variable material properties. [39] analyzed nonlinear vibration under the effect of rotating speed, surface temperature, volume fraction index and initial condition in FGM ring plate in which material properties vary with power law distribution along a radial direction.
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