Thermoelastic Analysis of Functionally Graded Rotating Disks with Variable Thickness Involving Non-Uniform Heat Source

Leu, S.-Y.; Chien, Lai-Chen

doi:10.1080/01495739.2015.1015892

Cited by 16 publications

(12 citation statements)

References 15 publications

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“…e related analyses on rotating functionally graded material disks with nonuniform thickness have been performed by Bayat et al [24], Liu and Chien [25], Zheng et al [26], Yildirim [27], Shahriari and Safari [28], Gao et al [29], Yu et al [30], etc.…”

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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“…Thermo elastic stresses for the solid disk and the hollow disks with different boundary conditions are obtained. Leu and Chien [8] presented elastic behavior of functionally graded rotating disks subjected to non-uniform thermal load, the thickness is a power function of radius. Akbari and Ghanbari [9] investigate functionally graded rotating disks under thermal, pressure and non-symmetric inertial load, the load on the outer edge is a harmonic sinusoidal load.…”

Section: Introductionmentioning

confidence: 99%

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

Lin¹

2020

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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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“…Thermoelastic analyses have been presented in [11,12,13,14]. The effect of a non-uniform heat source on thermoelastic behavior of a functionally graded rotating disc has been investigated in [15]. The effect of viscosity on the response of a functionally graded rotating disc of variable thickness has been studied in [16].…”

Section: Introductionmentioning

confidence: 99%

Description of Residual Stress and Strain Fields in FGM Hollow Disc Subject to External Pressure

2019

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Elastic/plastic stress and strain fields are obtained in a functionally graded annular disc of constant thickness subject to external pressure, followed by unloading. The elastic modulus and tensile yield stress of the disc are assumed to vary along the radius whereas the Poisson’s ratio is kept constant. The flow theory of plasticity is employed. However, it is shown that the equations of the associated flow rule, which are originally written in terms of plastic strain rate, can be integrated with respect to the time giving the corresponding equations in terms of plastic strain. This feature of the solution significantly facilitates the solution. The general solution is given for arbitrary variations of the elastic modulus and tensile yield stress along the radial coordinate. However, it is assumed that plastic yielding is initiated at the inner radius of the disc and that no other plastic region appears in the course of deformation. The solution in the plastic region at loading reduces to two ordinary differential equations. These equations are solved one by one. Unloading is assumed to be purely elastic. This assumption should be verified a posteriori. An illustrative example demonstrates the effect of the variation of the elastic modulus and tensile yield stress along the radius on the distribution of stresses and strains at the end of loading and after unloading. In this case, it is assumed that the material properties vary according to power-law functions.

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Thermoelastic Analysis of Functionally Graded Rotating Disks with Variable Thickness Involving Non-Uniform Heat Source

Cited by 16 publications

References 15 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

Description of Residual Stress and Strain Fields in FGM Hollow Disc Subject to External Pressure

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