The present study reports the linear elastic analysis of variable thickness functionally graded rotating disks. Disk material is graded radially by varying the volume fraction ratios of the constituent components. Three types of distribution laws, namely power law, exponential law and Mori–Tanaka scheme are considered on a concave thickness profile rotating disk, and the resulting deformation and stresses are evaluated for clamped-free boundary condition. The investigation is carried out using element based grading of material properties on the discretized elements. The effect of grading on deformation and stresses is investigated for each type of material distribution law. Further, a comparison is made between different types of distributions. The results obtained show that in a rotating disk, the deformation and stress fields can be controlled by the distribution law and grading parameter n of the volume fraction ratio.

The present study deals with the linear elastic analysis of variable thickness rotating disks made of functionally graded materials (FGMs) by the finite element method. The disks have radially varying material properties according to an exponential law, which is achieved by the element based grading of the material properties on the meshed domain. The results are reported for three types of thickness profiles, namely, uniform, linearly varying and concave thickness, having their mass constant. The disks are subjected to the clamped boundary condition at the inner surface and the free boundary condition at the outer surface. The obtained results show that in a variable thickness rotating disk, deformation and stresses are less as compared to the uniform thickness disk.

PurposeThe purpose of this study was to perform thermo-mechanical deformation and stress analysis in a functionally graded (FG) hollow cylinder considering steady-state temperature distribution under the effect of rotation, gravity and constant heat generation.Design/methodology/approachNavier's equation was used to solve the problem, and the obtained results were validated with benchmarks found to be in excellent agreement. The variation of temperature and other material properties such as Young's modulus, density, thermal expansion coefficient and thermal conductivity varied radially as per power-law variation.FindingsThe effect of rotation was found to be vital compared to gravity and heat generation when compared individually and in combination. The results of displacement and stresses were presented for varying grading indices.Practical implicationsFG cylinders have huge industrial applications as it opens the possibility of developing structures with a high strength/weight ratio. The present study will benefit industries in identifying the effective grading index that can be used by industries for fabricating FG structures.Originality/valueThe effect of rotation, body force and heat generation on a cylindrical body has not been studied before. Furthermore, the combined effect of rotation, body force and heat generation has been studied to understand the behaviour of cylinders operating under similar conditions.

In this paper, a generalized solution for 1-D steady-state mechanical and thermal deformation and stresses in rotating hollow functionally graded spherical body is presented. Spherical shells are treated under mechanical and thermal loads in the form of rotational body force with heat generation. Temperature distribution is assumed to vary along the radial direction due to variable heat generation. General uniform mechanical boundary condition at inner and outer surfaces along with prescribed temperatures at both the ends are assumed as boundary conditions. In the present study, material properties are taken as power function of radius with grading parameter ranging between −2 to 3. Governing differential equation with variable coefficient is developed and solved to find deformation and stresses. The obtained results are verified with benchmark results and are found to be in good agreement. Results show that deformation and stresses decrease with an increase in the value of grading parameter and are less as compared to the homogeneous body.

The present study deals with the stress and deformation analysis of thick rotating disks made up of two dimensional functionally graded materials (FGMs) by finite element method. Material properties are distributed according to power law distribution and the disks are subjected to clamped-free boundary condition. Material modeling and finite element modeling for the disk is presented and the resulting deformation and stresses are evaluated. The effect of grading index on the deformation and stresses is investigated and presented. The results obtained show that there is a significant reduction of stresses in two dimensional FGM disks as compared to homogeneous and one dimensional FGM disks.

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In the present study, one-dimensional steady-state temperature variation with variable heat generation was considered and thermo-mechanical stress and deformation analysis on a hollow functionally graded cylinder were then performed. A governing differential equation with a variable coefficient is solved using Navier's equation by applying thermal and mechanical boundary conditions. The effect of internal pressure and temperature, rotation, gravity, and heat generation, and their combined effect such as rotation and heat generation, gravity and heat generation, rotation, gravity, and heat generation were studied in a cylindrical body. The gradation properties varied radially as per power-law variation. The grading parameter ranging between -2 to 3, changes the material properties in the radial direction. A critical grading index was identified that lowers the induced stresses and hence an improvement in the performance of functionally graded cylinders can be obtained under the influence of a combination of loads. The validation of the results was carried out with published literature.