Effect of geometrical imperfection on the thermomechanical behavior of functionally graded material rotating disk

Abstract

The thermoelastic analysis of axisymmetric bending of rotating functionally graded material (FGM) disks, with and without imperfection, is presented. Material properties are assumed to be temperature dependent and graded in the thickness direction following a grading index power-law distribution. Theories of von Karman and first-order shear deformation were implemented to calculate the stress and displacement fields. Numerical results are given for evaluating the effects of temperature, material properties and imperfection on displacement and stress fields in a disk with roller-supported boundary conditions. Small and large deflection theories are considered to obtain the stress field and displacement field for the perfect and imperfect in FG disks and also in full metal (or full ceramic) disks. A series-form solution is used to solve the largedeflection nonlinear equations. The results are compared and validated with the results from the finite element method. It is observed that applying the initial geometric imperfection to a rotating solid disk would increase the value of radial stress, circumferential stress and vertical displacement.

Thermal buckling in multi-directional porous plates: The effects of material grading and aspect ratio

“…where U 1 mn ; V 1 mn ; W 1 bmn ; and W 1 smn are arbitrary parameters to be determined, λ ¼ mπ=a and μ ¼ nπ=b, and m and n are mode numbers. Substituting equation (30) into equations (28a)-(28d), one obtains ½KfΔg ¼ f0g (31) where fΔg denotes the column…”

“…Several variations of porosity in a disk were considered by modifying the ROM, and their limit speed was identified. 30,31 For the modeling of large deformation and progressive fracture of hyperelastic materials, specifically rubber, a phase field–based finite element method was proposed. 32 The method was further modified and employed to investigate the cracking evolution of fiber-reinforced composites by employing the coupled phase-field cohesive model.…”

Finite-difference analysis of stresses of a non-uniform functionally graded material circular disk rotating in the magneto-thermal environment: An equal mass study

“…Their analysis has found that in coarser mesh, the RK method provides more accurate analysis than VMP, however, VMP is easier to implement ensuring less computational effort and memory. Bahrami Babamiri et al 28 applied first-order shear deformation theory to analyze the effect of geometrical imperfection on the thermo-mechanical bending behavior of rotating FGM disks with temperature-dependent material properties. The coevolutionary particle swarm optimization approach integrating with the differential quadrature method is used by Khorsand and Tang 29 to design an FGM disk with non-uniform thickness optimizing the weight rotating in a thermal environment.…”