Stress Analysis of a Functionally Graded Micro/ Nanorotating Disk with Variable Thickness Based on the Strain Gradient Theory

Abstract

In this paper, mechanical response of a micro/nanorotating disk made of functionally graded materials (FGMs) with variable thickness is investigated. Through utilizing variational method and considering the strain gradient theory, the governing equations and the boundary conditions are derived. In order to verify the developed formulation, in special limiting cases, the results are compared with those available in the literature. These comparisons show an excellent correspondence. Employing numerical techniques, some numerical results are presented to investigate the effect of variations of properties and thickness on the response of the small scale rotating disk. It is found that the non-homogeneity constants have a remarkable effect on the stress distribution in the FG rotating disk. Furthermore, the amount of stress could be reduced in the rotating disk through fabricating it with variable thickness.

Free vibration response of bidirectional functionally graded rotating micro-disk under mechanical and thermal loading

“…Based on the classical theory and thin plate assumptions, Pei 36 studied damped free vibration response of clamped-free annular rotating micro-disks under thermal loading and presented thermo-elastic damping effects for both the axisymmetric and asymmetric modes. Employing a thin axisymmetric plate theory and the strain gradient theory (SGT), static stress and displacement analyses of annular rotating micro-disks have been presented by Danesh and Asghari, 37 and that of FG micro-disks of variable thickness have been presented by Baghani et al 38 Based on the FSDT and MCST, Mahinzare et al 39 studied the axisymmetric free vibration response of BFG solid rotating micro-plates supported on the Winkler-Pasternak foundation and subjected to thermal loading. They considered radial and asymmetric through-thickness material gradations and presented results for the first two modes each for clamped and hinged boundary conditions.…”

Exploring the mechanical response of functionally graded hollow disks: insights from rotation, gravity and variable heat generation

“…In order to enhance the component's strength, the local material characteristics are carefully controlled to minimize changes. This is achieved through the use of functional gradation in material properties and a variable thickness profile (Baghani et al, 2016;Leu and Chien, 2015). An optimization of stress distribution in rotating disks under various boundary conditions was performed (Abdalla et al, 2021;Zenkour, 2005).…”

“…In order to enhance the component's strength, the local material characteristics are carefully controlled to minimize changes. This is achieved through the use of functional gradation in material properties and a variable thickness profile (Baghani et al. , 2016; Leu and Chien, 2015).…”