Analytical solution for three‐dimensional stresses in a short length FGM hollow cylinder

Jabbari, Mohsen; Mohazzab, Amir Hossein; Bahtui, A.; Eslami, M. R.

doi:10.1002/zamm.200610325

Cited by 32 publications

(9 citation statements)

References 15 publications

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“…They obtained these solutions by making use of the method of separation of variables and expressed it in terms of the summation of the Fourier series in the circumferential direction. Jabbari et al [22] making use of the generalized Bessel function and Fourier series solved the temperature and Navier equations analytically and offered a general theoretical analysis of three-dimensional mechanical and thermal stresses for a short hollow cylinder made of functionally graded material. In a study carried out by You et al [23], the deformations and stresses in thick-walled cylindrical vessels made of FGMs were obtained.…”

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confidence: 99%

Analytical and numerical analysis for the FGM thick sphere under combined pressure and temperature loading

2011

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Thermo-mechanical analysis of functionally graded hollow sphere subjected to mechanical loads and one-dimensional steady-state thermal stresses is carried out in this study. The material properties are assumed to vary non-linearly in the radial direction, and the Poisson's ratio is assumed constant. The temperature distribution is assumed to be a function of radius, with general thermal and mechanical boundary conditions on the inside and outside surfaces of the sphere. In the analysis presented here, the effect of non-homogeneity in FGM thick sphere was implemented by choosing a dimensionless parameter, named β i (i = 1, . . . , 3), which could be assigned an arbitrary value affecting the stresses in the sphere. It is observed that the solution process for β i (i = 3) = −1 are different from those obtained for other values of β i (i = 1, . . . , 3). Cases of pressure, temperature, and combined loadings were considered separately. It is concluded that by changing the value of β i (i = 1 . . . 3), the properties of FGM can be so modified that the lowest stress levels are reached. The present results agree well with existing results. Using FEM simulations, the analytical findings for FGM spheres under the influence of internal pressure and temperature gradient were compared to finite element results.

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confidence: 99%

Analytical and numerical analysis for the FGM thick sphere under combined pressure and temperature loading

2011

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“…Analytical studies have been performed in recent years [1–4]. Also numerical studies have been performed [5–26]. Function types to be used for grading of isotropic or anisotropic behavior for pressurized hollow structures are very diverse.…”

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confidence: 99%

Exact elasticity solutions to rotating pressurized axisymmetric vessels made of functionally graded materials (FGM)

Kaçar

2020

Materialwissenschaft Werkst

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In this study the plane elasticity equations of pressurized and rotating structures, generalized analytical closed-form solutions are presented for hollow cylinders, spheres and thin disks. Three well known material pairs are graded in radial direction by using the power rule for various boundary and load conditions. Stress and displacement solutions are obtained. The effect of a constant rotational velocity is also investigated separately in absence of the internal and external pressures. Crucial results are also presented in tabular form. Keywords: Functionally graded material / elastic analysis / power rule / pressurized vessel / stress and displacement In dieser Studie werden die ebenen Elastizitätsgleichungen von unter Druck stehenden dickwandigen rotierenden zylindrischen und kugelförmigen Gefäßen und dünnen Scheiben analytisch gelöst. Der funktional gradierte Werkstoff wird in radialer Richtung gradiert und die Einstufung variiert gemäß der Machtregel. Geschlossene Lösungen, sowohl der Radial-, als auch der Umfangsspannungen und der Radialverschiebungen, werden in der für Wissenschaftler, Designer und Ingenieure am besten geeigneten Form erhalten. Unter Berücksichtigung von drei verschiedenen Metall-Keramik-Paaren und zwei verschiedenen Randbedingungen werden die Ergebnisse der Lösungen in geschlossener Form für die rotierende Struktur grafisch dargestellt, während, sowohl der innere, als auch der äußere Druck, gleichzeitig angewendet werden. Der Effekt einer konstanten Rotationsgeschwindigkeit wird auch ohne internen und externen Druck getrennt untersucht. Entscheidende Ergebnisse werden in tabellarischer Form dargestellt.

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“…The thermoelastic solution was obtained by a stress function approach. Jabbari et al (2007) suggested a general theoretical analysis of three-dimensional mechanical and thermal stresses for a short hollow FGM cylinder by the generalized Bessel function and Fourier series. Goshima and Miyao (1991) analytically solved a long hollow circular cylinder subjected to transient internal heat generation due to x-ray radiation, while there is convection on its inner and outer surfaces.…”

Section: Introductionmentioning

confidence: 99%

Thermomechanical transient analysis of a thick-hollow FGM cylinder

Takabi

2016

10.5267/j.esm

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This paper presents an analytical and a numerical thermomechanical investigation of a thickwalled cylinder made of the functionally graded materials (FGMs). The hollow cylinder is subjected to a pressure and a thermal load and the properties of this material are varying across the thickness from the inner face that is a ceramic to the outer one which is a metal. After validating the current results by the analytical results, the thermomechanical behavior of the cylinder in the transient condition is investigated and the hoop and radial stresses and also temperature distribution are reported. The results reveal that the use of FG material causes a decrease in the stress; thus, it significantly improves thermomechanical behavior of the domain, thanks to using FG materials.

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Analytical solution for three‐dimensional stresses in a short length FGM hollow cylinder

Cited by 32 publications

References 15 publications

Analytical and numerical analysis for the FGM thick sphere under combined pressure and temperature loading

Analytical and numerical analysis for the FGM thick sphere under combined pressure and temperature loading

Exact elasticity solutions to rotating pressurized axisymmetric vessels made of functionally graded materials (FGM)

Thermomechanical transient analysis of a thick-hollow FGM cylinder

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