Thermoelastic solution of a functionally graded variable thickness rotating disk with bending based on the first-order shear deformation theory

Abstract

A theoretical solution for thermoelastic analysis of functionally graded (FG) rotating disk with variable thickness based on first-order shear deformation theory (FSDT) is presented. Material properties and disk thickness profile are assumed to be represented by power law distributions. A semi analytical solution for displacement field is given under two types of boundary conditions applied for solid and annular disks. The effects of the material grading index and the geometry of the disk on the stress and displacement fields are investigated. Mechanical responses homogeneous disks versus FG disks are compared and verified with the known results in the literature. It is seen that the transverse displacements in FG solid disks with roller support condition at the outer surface remain between the minimum displacement value for the full-ceramic disk and the maximum displacement value for the full-metal disk. It is found that the transverse displacements in FG mounted disks with free condition at outer surface may not lie in between the displacement values for full-metal and full-ceramic disks. It is observed that the absolute moment resultant for FG mounted disk with concave profile is lowest compared to the FG mounted disk with linear or convex profile. It can be concluded that the gradation of the metal-ceramic components and the geometry of the disk are significant parameters in the thermomechanical responses of FG disks.

Free vibration analysis of solar functionally graded plates with temperature-dependent material properties using second order shear deformation theory

“…There are some models in the literature that express the variation of material properties in FGMs [9,16]. The most commonly used is the power law distribution of the volume fraction.…”

“…Bayat et al [15] examined small and large deflection of FG rotating disc by applying FSDT and Von Karman theory. Later, Bayat et al [16] obtained small deflection of an FG rotating disc with constant and variable thickness profile under thermomechanical load using FSDT. Batra and Jin [17] used the FSDT with the FEM to study free vibrations of an FG anisotropic rectangular plate with various boundary conditions.…”

Temperature and thickness effects on thermal and mechanical stresses of rotating FG-disks

“…Bayat et al [23] considered the analysis of functionally graded rotating disks with variable thickness. In another paper, Bayat et al [24] performed a thermoelastic solution of a functionally graded, variable thickness rotating disk with bending based on the first-order shear deformation theory. Chen et al [25] considered a three-dimensional analytical solution for a rotating disc of functionally graded materials with transverse isotropy.…”

Elastic and Viscoelastic Stresses of Nonlinear Rotating Functionally Graded Solid and Annular Disks with Gradually Varying Thickness

“…They investigated the constitutive relations of stresses and strains in the thermally loaded rotating variable-thickness elastic disks. Bayat et al [15][16][17][18] dealt with two problems, the elastic and thermoelastic for rotating FG disks at steady temperature. They assumed that the material properties and thickness of the disk are considered according power-law functions of r. Zenkour [19,20] studied the stress distribution in rotating sandwich solid disks with a FG core and isotropic face sheets.…”