Stress and Deformation Analysis of Clamped Functionally graded Rotating Disks with Variable Thickness

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

doi:10.2478/mme-2019-0027

Cited by 5 publications

(3 citation statements)

References 20 publications

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“…Analytical solutions could be found only for certain material grading functions and uniform thickness profiles. await et al [23] developed a finite element method to make elastic analysis on concave thickness functionally graded rotating disks.…”

Section: Introductionmentioning

confidence: 99%

Elastic Analysis for Rotating Functionally Graded Annular Disk with Exponentially-Varying Profile and Properties

Lin

2020

Mathematical Problems in Engineering

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Functionally graded materials have been widely used in engineering and human health applications. The issues about mechanical behavior of functionally graded material have received considerable attention. However, because of the complexity of material property, geometric profile, and mechanical load, there is still lack of proper analytic solutions about deformation and stress in many articles. The principal goal of this research is to study the effect of mechanical load on deformation and stress in rotating thin-walled functionally gradient material annular disk with exponentially-varying profile and properties. The inner and outer surfaces of annular disk are subjected to different pressures simultaneously. For this purpose, the infinitesimal theory of elasticity and axisymmetric plane stress assumptions has been proposed to formulate the governing equation. The governing equation is a generalized confluent hypergeometric differential equation, based on Whittaker’s functions; this is the first time that closed-form solutions of mechanical behaviors are revealed about proposed functionally gradient material model. Besides, another four boundary conditions are also discussed, i.e., the inner and outer surfaces of the annular disk are considered to be the combinations of free and clamped conditions. Numeric examples of two different functionally graded material properties are given to demonstrate displacement and stress solutions. Moreover, uniform disks made of homogeneous material under different boundary conditions are investigated, which are special cases of the proposed rotating functionally gradient material disks. Finally, some conclusions are made at the end of the present paper.

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Section: Introductionmentioning

confidence: 99%

Elastic Analysis for Rotating Functionally Graded Annular Disk with Exponentially-Varying Profile and Properties

Lin

2020

Mathematical Problems in Engineering

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“…Jalali and Shahriari [4] presented finite difference method to investigate elastic stress analysis of rotating variable thickness annular disk made of functionally graded materials. Thawait et al [5] considered three types of distribution laws on a concave thickness profile FGM rotating disk, and the resulting deformation and stresses are evaluated for clamped-free boundary condition.…”

Section: Introductionmentioning

confidence: 99%

Analytic Deformation and Stresses Solutions of Functionally Graded Rotating Disk under Mechanical and Thermal Load

Lin¹

2020

dtetr

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This article presents analytical solutions for radial displacement and stresses of thin-walled functionally graded rotating disk subjected to pressure and temperature difference on its boundary surfaces. The thickness, elasticity modulus, material density, thermal expansion and thermal conduction coefficients of disk are represented by exponential forms of radial variable. Numerical results of radial displacement and stresses are shown in figures. Separate and combined effects of both pressure and temperature difference on radial displacement and stresses will be discussed graphically.

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“…Papers, such as [4][5][6][7][8][9][10] investigate heterogeneous and functionally graded beams from different aspect. Works by Pen [11], Gönczi [12][13], Sondhi [14] and Allam [15] (etc.) dealt with the thermomechanical problems of disks subjected to thermal and mechanical loads.…”

Section: Introductionmentioning

confidence: 99%

Thermoelastic problems of multilayered spherical pressure vessels subjected to axisymmetric loading

Chapman¹

2020

IJEMS

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This paper deals with the linear thermoelastic analysis of functionally graded multilayered spherical bodies subjected to constant mechanical and thermal loading. The temperature field is arbitrary function of the radial coordinate, the material properties and the radial body force vary according to power law functions along the radius of the sphere. An analytical method is presented to calculate the displacements and stresses within the multilayered spherical body. The method is expanded to tackle the problem of spherical bodies made from radially graded materials with temperature dependent material properties. The results are compared to finite element simulations and other methods.

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Stress and Deformation Analysis of Clamped Functionally graded Rotating Disks with Variable Thickness

Cited by 5 publications

References 20 publications

Elastic Analysis for Rotating Functionally Graded Annular Disk with Exponentially-Varying Profile and Properties

Elastic Analysis for Rotating Functionally Graded Annular Disk with Exponentially-Varying Profile and Properties

Analytic Deformation and Stresses Solutions of Functionally Graded Rotating Disk under Mechanical and Thermal Load

Thermoelastic problems of multilayered spherical pressure vessels subjected to axisymmetric loading

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