PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

Exact thermomechanical analysis of functionally graded (FG) thick-walled spheres

Autorzy
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The present study aims to provide a deeper understanding for the thermo-mechanical analysis of spheres made of non-homogeneous isotropic materials. To this end, Navier equations are solved analytically based on the spherically-symmetric plain-strain assumptions and closed-form formulas are proposed for the elastic fields in a simple-power-law graded spheres subjected to steady-state thermal and internal/external pressure loads. A comprehensive parametric study is then performed with both functionally-graded hypothetical and physical materials. Two benchmark examples are reconsidered with hypothetically chosen inhomogeneity indexes. Effects of inhomogeneity indexes are reviewed in these examples. Differently from the literature, thickness effects are also examined under separate and combined loads together with the thermo-mechanical behavioral differences in spheres and cylinders. Finally three physical metal-ceramic pairs are studied originally with appropriate inhomogeneity indexes which are deffned as the inner surface is full ceramic and the outer surface is full metal. Results are presented in graphical and tabular forms.
Rocznik
Strony
1197--1221
Opis fizyczny
Bibliogr. 42 poz., 1 il. kolor., wykr.
Twórcy
autor
  • Department of Mechanical Engineering, University of Çukurova, Adana, Turkey
Bibliografia
  • [1] Timoshenko, S.P., Goodier, J.N.: Theory of Elasticity, 3rd Edition, New York: McGraw-Hill, 1970.
  • [2] Borisov, A.V.: Elastic analysis of multilayered thick-walled spheres under external load, Mechanika, 4(84), 28-32, 2010.
  • [3] Gamer, U.: The expansion of the elastic-plastic spherical shell with nonlinear hardening, Int J Mech Sci, 30(6), 415-426, 1988.
  • [4] Megahed, M.M.: Elastic-plastic behaviour of spherical shells with nonlinear hardening properties, Int J Solids Struct, 27(12), 1499-1514, 1991.
  • [5] Gao, X.L.: Strain gradient plasticity solution for an internally pressurized thick walled spherical shell of an elastic-plastic material, Mech. Res. Commun., 30, 411-420, 2003.
  • [6] Yildirim, V.: Heat-induced, pressure-induced and centrifugal-force-induced exact axisymmetric thermo-mechanical analyses in a thick-walled spherical vessel, an infinite cylindrical vessel, and a uniform disk made of an isotropic and homogeneous material, International Journal of Engineering & Applied Sciences (IJEAS), 9(2), 66-87, 2017.
  • [7] Chen, W.Q.: Stress distribution in a rotating elastic functionally graded material hollow sphere with spherical isotropy, The Journal of Strain Analysis, 35(1), 13-20, 2000.
  • [8] Guven, U., Baykara, C.: On stress distributions in functionally graded isotropic spheres subjected to internal pressure, Mech Res Commun, 28(3), 2001, 277-281.
  • [9] You, L.H., Zhang J.J., You X.Y.: Elastic analysis of internally pressurized thick-walled spherical pressure vessels of functionally graded materials, Int. J. Pressure Vessel Piping, 82(5), 347-354, 2005.
  • [10] Chen, Y.Z., Lin, X.Y.: Elastic analysis for thick cylinders and spherical pressure vessels made of functionally graded materials, Comput. Mater. Sci., 44(2), 581-587, 2008.
  • [11] Tutuncu N., Temel, B.: A novel approach to stress analysis of pressurized FGM cylinders, disks and spheres, Compos. Struct., 91, 385-390, 2009.
  • [12] Li, X.F., Peng, X.L., Kang, Y.A.: Pressurized hollow spherical vessels with arbitrary radial nonhomogeneity, AIAA Journal, 47(9), 2262-2266, 2009.
  • [13] Saidi, A.R., Atashipour, S.R., Jomehzadeh, E.: Exact elasticity solutions for thick-walled FG spherical pressure vessels with linearly and exponentially varying properties, IJE Transactions A: Basics, 22(4), 405-416, 2009.
  • [14] Chen, Y.Z., Lin, X.Y.: An alternative numerical solution of thick-walled cylinders and spheres made of functionally graded materials, Comput. Mater. Sci, 48, 640-647, 2010.
  • [15] Nie, G.J., Zhong, Z., Batra, R.C.: Material tailoring for functionally graded hollow cylinders and spheres, Compos. Sci. Technol., 71(5), 666-673, 2011.
  • [16] Nejad, M.Z., Abedi, M., Lotfian, M.H., Ghannad, M.: An exact solution for stresses and displacements of pressurized FGM thick-walled spherical shells with exponential-varying properties, Journal of Mechanical Science and Technology, 26(12), 4081-4087, 2012.
  • [17] Ghannad, M., Nejad, M.Z.: Complete closed-form solution for pressurized heterogeneous thick spherical shells, Mechanika, 18(5), 508-516, 2012.
  • [18] Karami, K., Abedi, M., Nejad, M.Z., Lotfian, M.H.: Elastic analysis of heterogeneous thick-walled spherical pressure vessels with parabolic varying properties, Front. Mech. Eng., 7(4), 433-438, 2012.
  • [19] Nejad, M.Z., Rastgoo, A., Hadi, A.: Effect of exponentially-varying properties on displacements and stresses in pressurized functionally graded thick spherical shells with using iterative technique, Journal of Solid Mechanics, 6(4), 366-377, 2014.
  • [20] Anani, Y., Rahimi, G.H.: Stress analysis of thick pressure vessel composed of functionally graded incompressible hyperelastic materials, Int. J. Mech. Sci., 104, 1-7, 2015.
  • [21] Shrivastava, S.K., Sondhi, L., Tiwari, J.K.: Elastic analysis of rotating spherical pressure vessel of functionally graded material modeled by Mori-Tanaka scheme, International J. of Eng. Research & Indu. Appls. (IJERIA), 9(III), 1-12, 2016.
  • [22] Norouzi, M., Amiri Delouei, A., Seilsepour, M.: A general exact solution for heat conduction in multilayer spherical composite laminates, Compos. Struct., 106, 288-295, 2013.
  • [23] Singh, S., Jain, P.K., Rizwan-Uddin: Analytical solution to transient heat conduction in polar coordinates with multiple layers in radial direction, Int. J. Therm. Sci., 47, 261-273, 2008.
  • [24] Jain, P.K., Singh, S., Rizwan-uddin.: An exact analytical solution for two dimensional, unsteady, multilayer heat conduction in spherical coordinates, Int. J. Heat Mass Transfer, 53, 2133-2142, 2010.
  • [25] Lu, X., Viljanen, M.: An analytical method to solve heat conduction in layered spheres with time-dependent boundary conditions, Physics Letters A, 351, 274-282, 2006.
  • [26] Yildirim V.: Exact thermal analysis of functionally graded cylindrical and spherical vessels, International Journal of Engineering & Applied Sciences (IJEAS), 9(2), 112-126, 2017.
  • [27] Cheung, J.B., Chen, T.S., Thirumalai, K.: Transient thermal stresses in a sphere by local heating, J. Appl. Mech., 41(4), 930-934, 1974.
  • [28] Takeuti, Y., Tanigawa, Y.: Transient thermal stresses of a hollow sphere due to rotating heat source, J. Therm. Stress., 5(3-4), 283-298, 1982.
  • [29] Obata, Y., Noda, N.: Steady thermal stress in a hollow circular cylinder and a hollow sphere of a functionally gradient materials, J. Therm. Stress., 17(3), 3471-3487, 1994.
  • [30] Lutz, M.P., Zimmerman, R.W.: Thermal stresses and effective thermal expansion coeffcient of a functionally graded sphere, J. Therm. Stress., 19(1), 39-54, 1996.
  • [31] Tsai, C.S., Lin, Y.C., Hung, C.I.: A study on the non-Fourier effects in spherical media due to sudden temperature changes on the surfaces. Heat Mass Transfer, 41, 2005, 709-716.
  • [32] Bagri, A., Eslami, M.R.: A unified generalized thermoelasticity; solution for cylinders and spheres, Int. J. Mech. Sci., 49, 1325-1335, 2007.
  • [33] Eslami, M.R., Babaei, M.H., Poultangari, R.: Thermal and mechanical stresses in a functionally graded thick sphere, Int. J. Pressure Vessel Piping, 82, 522-527, 2005.
  • [34] Poultangari, R., Jabbari, M., Eslami, M.R.: Functionally graded hollow spheres under non-axisymmetric thermomechanical loads, Int. J. Pressure Vessel Piping, 85(5), 295-305, 2008.
  • [35] Alavi, F., Karimi, D., Bagri, A.: An investigation on thermoelastic behaviour of functionally graded thick spherical vessels under combined thermal and mechanical loads, Journal of Achievements in Materials and Manufacturing Engineering, 31(2), 422-428, 2008.
  • [36] Jabbari, M., Dehbani, H., Eslami, M.R.: An exact solution for classic coupled thermoelasticity in spherical coordinates, Journal of Pressure Vessel Technology, 132, 031201-11, 2010.
  • [37] Nayak, P., Mondal, S.C., Nandi, A.: Stress, strain and displacement of a functionally graded thick spherical vessel, International Journal of Engineering Science and Technology (IJEST), 3(4), 2659-2671, 2011.
  • [38] Jabbari, M., Karampour, S., Eslami, M.R.: Radially symmetric steady state thermal and mechanical stresses of a poro FGM hollow sphere, International Scholarly Research Network, ISRN Mechanical Engineering, Article ID 305402 (7 pages), 2011.
  • [39] Bayat, Y., Ghannad, M., Torabi, H.: Analytical and numerical analysis for the FGM thick sphere under combined pressure and temperature loading, Arch. Appl. Mech., 82, 229-242, 2012.
  • [40] Jabbari, M., Sohrabpour, S., Eslami, M.R.: Mechanical and thermal stresses in a functionally graded hollow cylinder due to radially symmetric loads, Int. J. Pressure Vessel Piping, 79(7), 493-497, 2002.
  • [41] Celebi, K., Yarimpabuc, D., Keles, I.: A novel approach to thermal and mechanical stresses in a FGM cylinder with exponentially-varying properties, Journal of Theoretical and Applied Mechanics, 55(1), 343-351, 2017.
  • [42] Celebi, K., Yarimpabuc, D., Keles, I.: A unified method for stresses in FGM sphere with exponentially-varying properties, Structural Engineering and Mechanics, 57(5), 823-835, 2016.
Uwagi
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-50b0ef41-ba7f-4993-861f-7588601e8b2d
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.