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Elastic solutions based on the Mori-Tanaka scheme for pressurized functionally graded cylinder

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper, an elastic analysis of a thick-walled functionally graded cylinder subjected to internal pressure is examined. Material properties for the isotropic material are estimated to obey the Mori-Tanaka homogenization scheme through the thickness. The resulting two-point irregular boundary value problem is solved by the pseudospectral Chebyshev method that converts the boundary value problem to the system of equations, which can be solved by any appropriate decomposition method. Benchmark solutions are used to validate the method. The effect of the arbitrarily chosen volume fraction index is demonstrated for stress and displacement distributions. The effective stresses for different inner radius and volume fraction index are also discussed.
Rocznik
Strony
57--68
Opis fizyczny
Bibliogr. 22 poz., rys., tab.
Twórcy
autor
  • Department of Mechanical Engineering, Osmaniye Korkut Ata University Osmaniye, Turkey
  • Department of Mathematics, Osmaniye Korkut Ata University Osmaniye, Turkey
  • Osmaniye Vocational School, Osmaniye Korkut Ata University Osmaniye, Turkey
  • Department of Mechanical Engineering, Ceyhan Faculty of Engineering, Çukurova University Adana, Turkey
Bibliografia
  • [1] Müller-Sievers, H. (2012). The Cylinder: Kinematics of the Nineteenth Century, 9. University of California Press.
  • [2] Tütüncü, N., & Öztürk, M. (2001). Exact solutions for stresses in functionally graded pressure vessels. Composites Part B: Engineering, 32(8), 683-686. DOI: 10.1016/s1359-8368(01)00041-5.
  • [3] Chen, Y.Z., Lin, X.Y., Zhang, J.J., & You, X.Y. (2008). Elastic analysis for thick cylinders and spherical pressure vessels made of functionally graded materials. Computational Materials Science, 44(2), 581-587. DOI:10.1016/j.commatsci.2008.04.018.
  • [4] Eraslan, A.N., & Akış, T. (2015). Analytical solutions to elastic functionally graded cylindrical and spherical pressure vessels. Journal of Multidisciplinary Engineering Science and Technology, 2(10), 2687-2693.
  • [5] Tütüncü, N., & Temel, B. (2009). A novel approach to stress analysis of pressurized FGM cylinders, disks and spheres. Composite Structures, 91(3), 385-390. DOI:10.1016/j.compstruct. 2009.06.009.
  • [6] Chen, Y.Z., & Lin, X.Y. (2010). An alternative numerical solution of thick-walled cylinders and spheres made of functionally graded materials. Computational Materials Science, 48(3), 640-647. DOI:10.1016/j.commatsci.2010.02.033.
  • [7] Nie, G.J., Zhong, Z., & Batra, R.C. (2011). Material tailoring for functionally graded hollow cylinders and spheres. Composites Science and Technology, 71(5), 666-673. DOI:10.1016/j.compscitech.2011.01.009.
  • [8] Khoshgoftar, M.J., Rahimi, G.H., & Arefi, M. (2013). Exact solution of functionally graded thick cylinder with finite length under longitudinally non-uniform pressure. Mechanics Research Communications, 51, 61-66. DOI:10.1016/j.mechrescom.2013.05.001.
  • [9] Xin, L., Dui, G., Yang, S., & Zhang, J. (2014). An elasticity solution for functionally graded thick-walled tube subjected to internal pressure. International Journal of Mechanical Sciences, 89, 344-349.
  • [10] Li, H., & Liu, Y. (2014). Functionally graded hollow cylinders with arbitrary varying material properties under nonaxisymmetric loads. Mechanics Research Communications, 55, 1-9.
  • [11] Nejad, M.Z., Abedi, M., Lotfian, M.H., & Ghannad, M. (2016). Exact and numerical elastic analysis for the FGM thick-walled cylindrical pressure vessels with exponentially-varying properties. Archives of Metallurgy and Materials, 61(3), 1649-1654.
  • [12] Xin, L., Yang, S., Zhou, D., & Dui, G. (2016). An approximate analytical solution based on the Mori-Tanaka method for functionally graded thick-walled tube subjected to internal pressure. Composite Structures, 135, 74-82.
  • [13] Temel, B., Yildirim, S., & Tutuncu, N. (2014). Elastic and viscoelastic response of heterogeneous annular structures under arbitrary transient pressure. International Journal of Mechanical Sciences, 89, 78-83.
  • [14] Najibi, A., & Shojaeefard, M.H. (2016). Elastic mechanical stress analysis in a 2D-FGM thick finite-length hollow cylinder with newly developed material model. Acta Mechanica Solida Sinica, 29(2), 178-191.
  • [15] Dehnavi, F.N., Parvizi, A., & Abrinia, K. (2018). Novel material tailoring method for internally pressurized FG spherical and cylindrical vessels. Acta Mechanica Sinica, 34(5), 936-948.
  • [16] Yıldırım, V. (2017). 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.
  • [17] Shariyat, M. (2012). Nonlinear transient stress and wave propagation analyses of the FGM thick cylinders, employing a unified generalized thermoelasticity theory. International Journal of Mechanical Sciences, 65(1), 24-37.
  • [18] Dai, H.L., Rao, Y.N., & Dai, T. (2016). A review of recent researches on FGM cylindrical structures under coupled physical interactions, 2000-2015. Composite Structures, 152, 199-225.
  • [19] Gottlieb, D. (1981). The stability of pseudospectral-Chebyshev methods. Mathematics of Computation, 36(153), 107-118.
  • [20] Fornberg, B. (1998). A Practical Guide to Pseudospectral Methods, 1. Cambridge: Cambridge University Press.
  • [21] Trefethen, L.N. (2000). Spectral Methods in Matlab, 10, SIAM, Philadelphia, PA.
  • [22] Timoshenko, S.P, & Goodier, J.N. (1970). Theory of Elasticity, Third Edition. New York: McGraw-Hill.
Uwagi
Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-34361ee9-9f16-4983-957f-a1a8358585eb
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