A novel approach to stress analysis of pressurized FGM cylinders, disks and spheres

Tütüncü, Naki; Temel, Beytullah

doi:10.1016/j.compstruct.2009.06.009

Cited by 117 publications

(62 citation statements)

References 20 publications

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“…Zamani Nejad and Rahimi [28] investigated the thermal and mechanical stresses under generalized plane strain and plane stress assumptions, respectively. Concerning the stress analysis of cylindrical and spherical structural elements, Tutuncu and Temel [29] presented a novel approach to stress analysis of pressurized FGM cylinders, disks, and spheres. In this work, axisymmetric displacements and stresses in functionally graded hollow cylinders, disks, and spheres subjected to uniform internal pressure were determined using plane elasticity theory and complementary functions method.…”

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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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“…To increase their load limits, it is possible to use functionally graded materials in these structures. In this context, the literature also includes investigations in which determined the deformation behavior of the spherical graded vessels [2][3][4]. However, effective production processes for the graded materials are still not at the desired levels [5].…”

Section: Introductionmentioning

confidence: 99%

A comparison between multi‐layered and functionally graded spherical pressure vessels

Arslan

2013

Proc Appl Math and Mech

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Two analytical models are developed for elastic multi-layered and functionally graded thick walled spherical pressure vessels subjected to uniform internal pressure. Simple and comprehensive recursive algorithms are proposed for the multi-layered vessel. In the model for functionally graded one, the modulus of elasticity is assumed to vary in radial direction according to a power law. Stress distributions of those vessels are compared and the results are presented in graphical form.

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“…In this paper the problem reduces to a Fredholm integral equation. By using plane elasticity theory and complementary functions method, Tütüncü and Temel [12] obtained axisymmetric displacements and stresses in functionally graded hollow cylinders, disks and spheres subjected to uniform internal pressure. As an alternative numerical solution, Chen and Lin [13] suggested transmission matrix method to obtain displacement and stresses in thick-walled FG cylinders and spheres.…”

Section: Introductionmentioning

confidence: 99%

The Effect of the Poisson Ratio on Stresses of Heterogeneous Pressure Vessels

Eker

Yarımpabuç²,

Çelebi³

2018

European Mechanical Science

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Functionally graded materials (FGM) belong to advanced composite materials class whose mechanical properties vary continuously from one surface to another at macro level. Thick walled annular structures are widely used in industry as nuclear reactors, long pipes used for carrying gases/oil, pressure vessels etc. Elastic analysis of FG thick walled cylindrical and spherical pressure vessels subjected only to internal pressure are studied. The material properties (Young' s modulus-Poisson' s ratio) are assumed to obey the power-law function through the wall thickness. Under these assumptions the governing equations of the FG vessels become a two-point boundary value problem. The analytical solution of such an equation can not be obtained except for simple grading functions. Complementary Functions Method is performed to solve governing equation in order to obtain displacement and stress distributions depending on inhomogeneity parameters.

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A novel approach to stress analysis of pressurized FGM cylinders, disks and spheres

Cited by 117 publications

References 20 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

A comparison between multi‐layered and functionally graded spherical pressure vessels

The Effect of the Poisson Ratio on Stresses of Heterogeneous Pressure Vessels

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