Finite element analysis of thermoelastic field in a rotating FGM circular disk

Afsar, A. M.; Go, Jaegwi

doi:10.1016/j.apm.2010.02.022

Cited by 100 publications

(36 citation statements)

References 19 publications

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“…The incompatibility of thiseigenstrain has substantial effect on the overall thermoelastic field as pointed out by Afsar and Go [12] in the analysis of a rotating FGM disk. However, the above analysis was carried out for assumed distributions of temperature which might predict characteristics different from those corresponding to actual temperature distribution.…”

Section: Introductionmentioning

confidence: 92%

Finite Difference Solution to Thermoelastic Field in a Thin Circular FGM Disk with a Concentric Hole

Arnab

Islam

Khalak

et al. 2014

Procedia Engineering

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This study pays attention to the analysis of thermoelasticfiled in a thin circular functionally graded material (FGM) disk with a concentric hole subjected to thermal loads. The material distribution in the disk is assumed to vary in the radial direction only. The mechanical and thermal properties of the FGM disk are simulated by the power function and exponential variation with the radius of the disk. As the range of variation of Poisson's ratio is small and its effect on the thermoelastic characteristics is negligible, it is reasonably assumed to be constant throughout the disk. Based on the two dimensional thermoelastic theories, the problem is reduced to the solution of a second order differential equation which is converted to a system of algebraic linear equations with the help of finite difference discretization.Solution of these equations is obtained by Gauss elimination method for an Al 2 O 3 /Al FGM disk. Numerical results of different components of stress and displacement are presented and analyzed.The analysis of the results revealsthat the thermoelasticcharacteristics of an FGM disk are substantially dependant on material distribution as well as difference of temperatures at the inner and outer surfaces of the disk.

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Section: Introductionmentioning

confidence: 92%

Finite Difference Solution to Thermoelastic Field in a Thin Circular FGM Disk with a Concentric Hole

Arnab

Islam

Khalak

et al. 2014

Procedia Engineering

Self Cite

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show abstract

“…They used Green-Lagrange strain tensor and finite element method to derive and solve the governing equations. Afsar and Go [19] applied the finite element method to analysis of thermo elastic field in a thin FG circular disk subjected to thermal load and an inertia force due to rotation of the disk. They considered the thermo-mechanical properties of the plate constituents graded in radial direction and formulated the governing equation of an axisymmetric problem based on the two dimensional thermo elastic theories.…”

Section: Introductionmentioning

confidence: 99%

Thermo-elastic analysis of functionally graded circular plates resting on a gradient hybrid foundation

Rad

2015

Applied Mathematics and Computation

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“…There are a number of investigations toward understanding inplane and out-of-plane behaviors of FG rotating disks made of an isotropic material [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]. Çallio glu et al [6] obtained closed-form solutions for stress field in a FG rotating disk with constant angular velocity.…”

Section: Introductionmentioning

confidence: 99%

Displacement and Stress Fields in a Functionally Graded Fiber-Reinforced Rotating Disk With Nonuniform Thickness and Variable Angular Velocity

Zheng

Bahaloo

Mousanezhad

et al. 2017

Journal of Engineering Materials and Technology

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Displacement and stress fields in a functionally graded (FG) fiber-reinforced rotating disk of nonuniform thickness subjected to angular deceleration are obtained. The disk has a central hole, which is assumed to be mounted on a rotating shaft. Unidirectional fibers are considered to be circumferentially distributed within the disk with a variable volume fraction along the radius. The governing equations for displacement and stress fields are derived and solved using finite difference method. The results show that for disks with fiber rich at the outer radius, the displacement field is lower in radial direction but higher in circumferential direction compared to the disk with the fiber rich at the inner radius. The circumferential stress value at the outer radius is substantially higher for disk with fiber rich at the outer radius compared to the disk with the fiber rich at the inner radius. It is also observed a considerable amount of compressive stress developed in the radial direction in a region close to the outer radius. These compressive stresses may prevent any crack growth in the circumferential direction of such disks. For disks with fiber rich at the inner radius, the presence of fibers results in minimal changes in the displacement and stress fields when compared to a homogenous disk made from the matrix material. In addition, we concluded that disk deceleration has no effect on the radial and hoop stresses. However, deceleration will affect the shear stress. Tsai–Wu failure criterion is evaluated for decelerating disks. For disks with fiber rich at the inner radius, the failure is initiated between inner and outer radii. However, for disks with fiber rich at the outer radius, the failure location depends on the fiber distribution.

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Finite element analysis of thermoelastic field in a rotating FGM circular disk

Cited by 100 publications

References 19 publications

Finite Difference Solution to Thermoelastic Field in a Thin Circular FGM Disk with a Concentric Hole

Finite Difference Solution to Thermoelastic Field in a Thin Circular FGM Disk with a Concentric Hole

Thermo-elastic analysis of functionally graded circular plates resting on a gradient hybrid foundation

Displacement and Stress Fields in a Functionally Graded Fiber-Reinforced Rotating Disk With Nonuniform Thickness and Variable Angular Velocity

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