Thermoelastic analysis of functionally graded annulus with arbitrary gradient

Peng, Xingxing; Li, Xian-Fang

doi:10.1007/s10483-009-1001-7

Cited by 36 publications

(12 citation statements)

References 18 publications

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“…Zenkour (2009) carried out an analytical study with Whittaker's functions to study a FG annular sandwich disk subjected to only steady-state thermal loads. After transforming the governing equation to a Fredholm integral equation, Peng and Li (2009) focused analytically and numerically on the thermoelastic analysis of either a power-law graded annulus or an arbitrarily graded annulus. Kurşun and Topcu (2013) achieved the elastic stress analysis of a power-law graded hyperbolic disk subjected to a linearly increasing temperature distribution under free-free and fixed-free boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

Thermomechanical Characteristics of a Functionally Graded Mounted Uniform Disc with/without Rigid Casing

Yıldırım

2019

J.Aerosp. Technol. Manag.

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In the present paper, thermomechanical attributes of a power-law graded uniform mounted disc with or without rigid casing are investigated analytically under centrifugal and steady-state thermal loads within the framework of axisymmetric infinitesimal plane-stress elasticity theory. Young's modulus, material density, thermal expansion coefficient and thermal conductivity are all assumed to be constantly changed in the radial direction with different inhomogeneity indexes while Poisson's ratio is kept constant. Two parametric studies are conducted by both hypothetically and physically chosen metal-ceramic pairs namely nickel-silicon nitride (Ni-Si3N4), aluminum-aluminum oxide (Al-Al2O3), and stainless steel-zirconium oxide (SUS304-ZrO2).

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Section: Introductionmentioning

confidence: 99%

Thermomechanical Characteristics of a Functionally Graded Mounted Uniform Disc with/without Rigid Casing

Yıldırım

2019

J.Aerosp. Technol. Manag.

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“…Thickness variation of disks was described by means of a power of linear function by Vullo and Vivio (2008). Peng and Li (2009) studied a thermoelastic problem of a circular annulus made of functionally graded materials with an arbitrary gradient. Peng, and Li (2012) also studied effects of gradient on stress distribution in rotating functionally graded solid disks.…”

Section: Introductionmentioning

confidence: 99%

A Parametric Study on the Centrifugal Force-Induced Stress and Displacements in Power-Law Graded Hyperbolic Discs

Yıldırım

2018

Lat. Am. j. solids struct.

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An extensive parametric study on the variation of the centrifugal-force-induced stress and displacements with the inhomogeneity indexes, profile parameters and boundary conditions is conducted based on the author's recently published analytical formulas for radially functionally power-law graded rotating hyperbolic discs under axisymmetric conditions. The radial variation of the thickness of the disc is chosen to obey a hyperbolic function defined either convergent or divergent. In the present work, contrary to the published one, it is assumed that both Young's modulus and density radially vary with the same inhomogeneity index to enable to conduct a parametric study. Under this additional assumption, for the values of the chosen powerlaw indexes 5, 0, 5    for the material grading rule, and the chosen profile parameters 1, 0.75, 0.5, 0.25, 0, 0.25, 0.5, 0.75, 1 m      for a hyperbolic disc; the variations of the radial stress, the hoop stress and the radial displacement are all illustrated graphically for a rotating disc whose both surfaces are stress-free, for a rotating disc mounted a rigid shaft at its center and its outer surface is stress-free, and finally for a rotating disc attached a rigid shaft at its center and guided at its outer surface (a rigid casing exists at the outer surface).

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“…For arbitrary material grading rules, some numerical solution techniques are employed such as Fredholm integrals [16,17], the modified Runge-Kutta algorithm [12], the finite element method [18,19], the finite difference method [20,21], finite volume method [22], complementary functions method [23,24,25] and whatnot numerical techniques.…”

Section: Introductionmentioning

confidence: 99%

Effects of Inhomogeneity and Thickness Parameters on the Elastic Response of a Pressurized Hyperbolic Annulus/Disc Made of Functionally Graded Material

Yıldırım¹

2017

International Journal of Engineering &Amp; Applied Sciences

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A broad parametric study is carried out to investigate the effects of both the inhomogeneity parameter, and a profile index of Stodola's hyperbolic function on the static response of such structures subjected to both the inner and outer pressures. The investigation is based on the analytical formulas lately published by the author. The effects of those parameters on the variation of the radial displacement, the radial and hoop stresses are all graphically illustrated for an annulus pressurized at its both surfaces. It is observed that, especially, the variation of the hoop stress in radial coordinate is closely sensible to variation of those parameters. For the chosen problems it was observed that one of two materials whose Young's modulus is higher than the other is better to locate at the inner surface of the disc having divergent profile to get reasonable maximum hoop stresses. However much smaller radial displacements may be obtained by using positive inhomogeneity indexes for all discs whose surfaces host a material whose Young's modulus is smaller than the other. To reach a final decision, analytical formulas such as those used in the present study together with a failure criteria such as Von Mises and Tresca become indispensable means in a design process.

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Thermoelastic analysis of functionally graded annulus with arbitrary gradient

Cited by 36 publications

References 18 publications

Thermomechanical Characteristics of a Functionally Graded Mounted Uniform Disc with/without Rigid Casing

Thermomechanical Characteristics of a Functionally Graded Mounted Uniform Disc with/without Rigid Casing

A Parametric Study on the Centrifugal Force-Induced Stress and Displacements in Power-Law Graded Hyperbolic Discs

Effects of Inhomogeneity and Thickness Parameters on the Elastic Response of a Pressurized Hyperbolic Annulus/Disc Made of Functionally Graded Material

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