Abstract
In this paper, thermo-elastic stress analysis of rotating variable thickness annular disk made of polar orthotropic functionally graded material (FGM) is presented. Elasticity modulus, density and thick-ness of the disk are assumed to vary radially according to a power law function. The material of the disk is assumed to be temperature dependent and different temperature distributions are assumed for variation of the temperature in radial direction. Radial stress and radial deformation of the disk with Clamped- Free (C-F) and Free-Free (F-F) boundary conditions are obtained using the numerical finite difference (FD) method. It is concluded that, by increasing the temperature variation, the radial stress and displacement increase. It is also observed that the radial stress in the rotating FG disk is more than the radial stress in rotating homogeneous disk and by increasing the FG index, the location of maximum stress in the disk shifts toward the outer surface. Also, the effects of temperature variation along the radius and orthotropy of the material on the radial stress and deformation are evaluated and concluded that their effect are significant. The results are compared with the available results in the literature and the good agreement between the present results and results in the literature shows the accuracy of FD method in thermo-elastic analysis of rotating FG orthotropic disk of variable thickness.
Highlights
Graded materials (FGMs) are a type of composite materials that attracted considerable attention in recent years due to their thermo-mechanical properties
The concept of functionally graded material (FGM) was first considered in Japan in 1984 during a space plane project, where a combination of materials used would serve the purpose of a thermal barrier capable of withstanding a surface temperature of 2000 K and a temperature gradient of 1000 k across a 10 mm section [1]
The dimensionless radial stress and displacement of the rotating FG polar orthotropic disc with uniform thickness and with F-F boundary conditions are obtained using finite difference (FD) method and the results are compared with the results reported in [18]
Summary
Graded materials (FGMs) are a type of composite materials that attracted considerable attention in recent years due to their thermo-mechanical properties. Nie et al [16] investigated the thermomechanical response of rotating FG disks of variable thickness They solved the ordinary differential equation analytically and numerically through the differential quadrature method. Peng et al [18] studied the elastic problem of rotating polar orthotropic FG disk They investigated effect of orthotropy and FG gradient on the radial and hoop stress distribution. Callioglu et al [26] introduced a closed--form solution for rotating orthotropic disc under thermal loading They considered the temperature distribution to vary parabolically from inner surface to outer surface along the radial sections. Finite difference method is used for solving the equations of motion of rotating FG polar orthotropic annular plates with variable thickness under thermal loading. After comparing the results with the results in the literature, the accuracy of the numerical analyses is confirmed
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