Stress and Deformation Analysis of Variable Thickness Clamped Rotating Disk of Functionally Graded Orthotropic Material

Sondhi, Lakshman; Thawait, Amit Kumar; Sanyal, Shubhashis; Bhowmick, Shubhankar

doi:10.1016/j.matpr.2019.07.412

Cited by 3 publications

(2 citation statements)

References 8 publications

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“…Infinitesimal theory of plane elasticity and Complementary Functions Method was employed to investigate hydrogen-induced stresses in functionally graded axisymmetric spheres, cylinders, and disks by Yildirim [12]. Sondhi et al [13] used element-based gradation of material properties over the discretized domain to study linear elastic stress analysis of functionally graded rotating disks.…”

Section: Introductionmentioning

confidence: 99%

Thermoelastic Characteristics of Functionally Graded Circular Disk Models under the Loading of Contact Forces

2021

Mathematical Problems in Engineering

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A rotating functionally graded circular disk undergoing a contact load is taken into account to investigate the thermoelastic characteristics. By considering contact force, a pair of partial differential equations is induced as the governing equations based on Hooke’s law. The behavior of circular disk modes is described with the variations of contact force and homogeneous thickness. A finite volume model is introduced to obtain approximate solutions for the governing equations because of the complexity of the equations. Contact force is highly influential in the radial direction compared to the circumferential direction in the displacement distribution, while a large radial stress appears near the area of the contact point. In the strain distribution, the magnitude increases as the angle grows near part of the outer boundary in the circular domain. The radial distribution profiles are susceptible to the growth of contact force in nearby area of the outer boundary, whereas the influences on the circumferential direction profiles are trivial. The increase of homogeneous thickness dwindles the radial magnitude of displacement, stress, and strain distribution profiles over nearby area of the outer boundary of the circular domain. As a result, numerical approach demonstrates that contact force and homogeneous thickness are indispensable parameters and provide deep influence on the thermoelastic movements of a rotating circular disk. Thus, the results obtained may be useful to design an appropriate FGM circular disk model for the industrial area by controlling the above parameters.

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Section: Introductionmentioning

confidence: 99%

Thermoelastic Characteristics of Functionally Graded Circular Disk Models under the Loading of Contact Forces

2021

Mathematical Problems in Engineering

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“…A lot of papers and books deal with the mechanics of these advanced materials. Books by Boley and Weiner [1], Lekhnitskii [2] and Lomakin [3] give solutions to many linearly elastic problem for nonhomogeneous bodies, furthermore there are lots of papers, such as [4][5][6][7][8][9][10][11] that tackle the thermomechanical problems of different simple functionally graded and multilayered components (e.g. beams or disks) from different aspects.…”

Section: Introductionmentioning

confidence: 99%

Thermoelastic problems of functionally graded multilayered incompressible spherical bodies

Havellant

Kiss

2020

MDT

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The main objective of this paper is to determine the stresses and displacements in radially graded multilayered spherical bodies made from incompressible functionally graded materials. The material properties are arbitrary functions of the radial coordinate. The body is subjected to constant pressure and a temperature field, which is an arbitrary function of the radial coordinate. An analytical method is presented to tackle these problems then compared to solutions coming from finite element simulations.

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Thermo-Mechanical Analysis for an Axisymmetric Functionally Graded Rotating Disc under Linear and Quadratic Thermal Loading

Mehta¹,

Sahni²

2020

Int J Math, Eng, Manag Sci

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The study presents thermo-mechanical analysis of functionally graded (FG) rotating disc whose material properties, namely, Young’s modulus, density and coefficient of thermal expansion in radial direction are tailored from inner to outer radius using power law form. The disc is considered to be under the influence of internal pressure, centrifugal body force and thermal loading of the form linear as well as quadratic. Response of FG disc under linear and quadratic temperature profile subjected to internal pressure as well as centrifugal body force is analysed. An exact solution for stress in radial and tangential directions, under mechanical and thermal loading is presented. Numerical solutions for stresses under internal pressure with uniform thermal loading are obtained using finite element method and its comparison with analytical results is presented graphically. Results for radial displacement, radial stress and tangential stress are depicted graphically and their interpretation has been discussed.

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Stress and Deformation Analysis of Variable Thickness Clamped Rotating Disk of Functionally Graded Orthotropic Material

Cited by 3 publications

References 8 publications

Thermoelastic Characteristics of Functionally Graded Circular Disk Models under the Loading of Contact Forces

Thermoelastic Characteristics of Functionally Graded Circular Disk Models under the Loading of Contact Forces

Thermoelastic problems of functionally graded multilayered incompressible spherical bodies

Thermo-Mechanical Analysis for an Axisymmetric Functionally Graded Rotating Disc under Linear and Quadratic Thermal Loading

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