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An investigation on thermoelastic behaviour of functionally graded thick spherical vessels under combined thermal and mechanical loads

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Języki publikacji
PL
Abstrakty
EN
Purpose: The subject of this paper is to study the thermoelastic behavior of thick functionally graded hollow sphere under thermal and mechanical loads. The mechanical and thermal properties of FG sphere are assumed to be functions of radial position. Design/methodology/approach: In present study, two methods are used to estimate the effective mechanical properties of FG sphere. One of the simplest methods in estimation of the effective mechanical and thermal properties of a mixture of two constituent materials is the Rule of Mixture (R-M) scheme. Another scheme for estimating the mechanical properties is due to the work of Mori-Tanaka. When the mechanical properties of FG sphere are estimated by using the Mori-Tanaka scheme, thermal material properties of FG body may be determined utilizing the R-M or the other methods which will be discussed as follows. Findings: Results for the temperature, radial displacement, radial stress and hoop stress fields through the geometry of the sphere are give. The figures reveal that some minor difference may be obtained for two schemes and the difference between the results for displacement distribution is larger than difference of temperature and stress distributions. Practical implications: The thermal material properties are obtained utilizing the Hatta-Taya and Rosen- Hashin relations. Also, the mechanical properties are estimated using the Mori-Tanaka scheme. In addition to the methods of approximation of material properties cited above, the rule of mixture scheme for determination of thermal and mechanical properties is also considered and results of these two schemes are compared for two cases of material composition through the geometry of FG sphere. The FG sphere is assumed to be symmetrically loaded and one-dimensional steady-state analysis of isotropic linear thermoelastic FG sphere under combined thermal and mechanical loads is investigated. Solution of the heat conduction equation and the Navier equation are obtained by using the Galerkin finite element method and by generating 100 elements along the radial direction of FG sphere. Originality/value: This paper presents the FEM analysis of a functionally graded thick hollow sphere which its thermal and mechanical material properties only depend on the radial position.
Rocznik
Strony
422--428
Opis fizyczny
Bibliogr. 14 poz., wykr.
Twórcy
autor
autor
autor
Bibliografia
  • [1] B. M. Singh, J. Rokne, R. S. Dhaliwal, Vibrations of a solid sphere or shell of functionally graded materials, European Journal of Mechanics A, Solid, 2007.
  • [2] P. Kwon, Kh. Dharan, M. Ferreri, Macroscopic analysis of axisymmetric functionally graded materials under thermal loading, Journal of Energy Resources Technology 116 (1994) 115-120.
  • [3] Y. Obata, N. Noda, Steady thermal stresses in hollow circular cylinder and a hollow sphere of a functionally graded material, Journal of Thermal Stresses 17 (1994) 471-487.
  • [4] M. P. Lutz, R. W. Zimmerman, Thermal stresses and effective thermal expasion coefficient of functionally graded sphere, Journal of Thermal Stresses 19 (1996) 39-54.
  • [5] M. R. Eslami, M. H. Babaei, R. Poultangari, Thermal and mechanical stresses in functionally graded thick sphere, International Journal of Pressure Vessels and Piping 82 (2005) 522-527.
  • [6] B. L. Wang, Y. W. Mai, Transient one-dimensional heat conduction problems solved by finite element, International Journal of Mechanical Sciences 47 (2005) 303-317.
  • [7] J. F. Durodola, J. E. Adlington, Functionally graded material properties for disks and rotors, Proc. first int. conf. Ceramic and metal matrix composites, San Sebastian, Spain, 1996.
  • [8] J. C. Nadeau, M. Ferrari, Microstructural optimization of functionally graded transversely isotropic layer, Mechanics of Materials 31 (1999) 637-651.
  • [9] T. Naki, O. Murat, Exact solutions for stresses in functionally graded pressure vessels, Composite B 32 (2001) 683-686.
  • [10] Y. Fukui, N. Yamanaka, K. Wakashima, The stresses and strains in a thick-walled tube for functionally graded material under uniform thermal loading, JSME International Journal Series A 36 (1993) 156-162.
  • [11] H. Hatta, M. Taya, Effective thermal conductivity of a misoriented short fiber composite, Journal of Applied Physics 58 (1985) 2478-2486.
  • [12] B. W. Rosen, Z. Hashin, Effective thermal expansion coefficients and specific heats of composite, International Journal of Engineering Science 18 (1970) 157-173.
  • [13] T. Mori, K. Tanaka, Average stress in matrix and average elastic energy of material with misfitting inclusions, Acta Metallurgica 21 (1973) 571-574.
  • [14] T. Reiter, G. J. Dvorak, Micromechanical modelling of functionally graded materials. In: Bahei-El-Din (Ed.), IUTAM, Symposium on Transformation Problems in Composite and Active Materials, Kluwer academic publishers, London, 1997, 173-184.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BWAW-0002-0037
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