Analytical and numerical analysis for the FGM thick sphere under combined pressure and temperature loading |
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Authors: | Email author" target="_blank">Yahya?BayatEmail author Mahdi?Ghannad Hamid?Torabi |
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Institution: | (1) Mechanical Engineering Department, Amirkabir University of Technology, 1591634311 Tehran, Iran;(2) Mechanical Engineering Department and Concrete Technology and Durability Research Centre, Amirkabir University of Technology, Hafez Ave., 1591634311 Tehran, Iran |
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Abstract: | 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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Keywords: | |
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