Structural Engineering and Mechanics

Techno-Press (테크노프레스)
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Nonlinear transient analysis of FG pipe subjected to internal pressure and unsteady temperature in a natural gas facility

  • Soliman, Ahmed E. (Department of Mechanical Design and Production, Faculty of Engineering, Zagazig University) ;
  • Eltaher, Mohamed A. (Department of Mechanical Engineering, Faculty of Engineering, King Abdulaziz University) ;
  • Attia, Mohamed A. (Department of Mechanical Design and Production, Faculty of Engineering, Zagazig University) ;
  • Alshorbagy, Amal E. (Department of Mechanical Design and Production, Faculty of Engineering, Zagazig University)
  • Received : 2017.08.19
  • Accepted : 2018.01.29
  • Published : 2018.04.10
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Abstract

This study investigates the response of functionally graded (FG) gas pipe under unsteady internal pressure and temperature. The pipe is proposed to be manufactured from FGMs rather than custom carbon steel, to reduce the erosion, corrosion, pressure surge and temperature variation effects caused by conveying of gases. The distribution of material graduations are obeying power and sigmoidal functions varying with the pipe thickness. The sigmoidal distribution is proposed for the 1st time in analysis of FG pipe structure. A Two-dimensional (2D) plane strain problem is proposed to model the pipe cross-section. The Fourier law is applied to describe the heat flux and temperature variation through the pipe thickness. The time variation of internal pressure is described by using exponential-harmonic function. The proposed problem is solved numerically by a two-dimensional (2D) plane strain finite element ABAQUS software. Nine-node isoparametric element is selected. The proposed model is verified with published results. The effects of material graduation, material function, temperature and internal pressures on the response of FG gas pipe are investigated. The coupled temperature and displacement FEM solution is used to find a solution for the stress displacement and temperature fields simultaneously because the thermal and mechanical solutions affected greatly by each other. The obtained results present the applicability of alternative FGM materials rather than classical A106Gr.B steel. According to proposed model and numerical results, the FGM pipe is more effective in natural gas application, especially in eliminating the corrosion, erosion and reduction of stresses.

Keywords

References

  1. Abdelhak, Z., Hadji, L., Daouadji, T.H. and Adda, B. (2016), "Thermal buckling response of functionally graded sandwich plates with clamped boundary conditions", Smart Struct. Syst., 18(2), 267-291. https://doi.org/10.12989/sss.2016.18.2.267
  2. Aboudi, J., Pindera, M.J. and Arnold, S.M. (1999), "Higher-order theory for functionally graded materials", Compos. Part B: Eng., 30(8), 777-832. https://doi.org/10.1016/S1359-8368(99)00053-0
  3. Akbarov, S.D., Guliyev, H.H. and Yahnioglu, N. (2017), "Threedimensional analysis of the natural vibration of the threelayered hollow sphere with middle layer made of FGM", Struct. Eng. Mech., 61(5), 563-576. https://doi.org/10.12989/sem.2017.61.5.563
  4. Aldousari, S.M. (2017), "Bending analysis of different material distributions of functionally graded beam", Appl. Phys. A, 123(4), 296. https://doi.org/10.1007/s00339-017-0854-0
  5. Alshorbagy, A.E., Eltaher, M.A. and Mahmoud, F.F. (2011), "Free vibration characteristics of a functionally graded beam by finite element method", Appl. Math. Model., 35(1), 412-425. https://doi.org/10.1016/j.apm.2010.07.006
  6. Chareonsuk, J. and Vessakosol, P. (2011), "Numerical solutions for functionally graded solids under thermal and mechanical loads using a high-order control volume finite element method", Appl. Therm. Eng., 31(2), 213-227. https://doi.org/10.1016/j.applthermaleng.2010.09.001
  7. Chi, S.H. and Chung, Y.L. (2002), "Cracking in sigmoid functionally graded coating", J. Mech., 18, 41-53.
  8. Chikh, A., Bakora, A., Heireche, H., Houari, M.S.A., Tounsi, A. and Bedia, E.A. (2016), "Thermo-mechanical postbuckling of symmetric S-FGM plates resting on Pasternak elastic foundations using hyperbolic shear deformation theory", Struct. Eng. Mech., 57(4), 617-639. https://doi.org/10.12989/sem.2016.57.4.617
  9. Daneshjou, K., Bakhtiari, M. and Tarkashvand, A. (2017), "Wave propagation and transient response of a fluid-filled FGM cylinder with rigid core using the inverse laplace transform", Eur. J. Mech.-A/Sol., 61, 420-432. https://doi.org/10.1016/j.euromechsol.2016.10.007
  10. Documentation, A.B.A.Q.U.S. (2012), Simulia, Providence, RI.
  11. Fazzolari, F.A. (2016), "Reissner's mixed variational theorem and variable kinematics in the modelling of laminated composite and FGM doubly-curved shells", Compos. Part B: Eng., 89, 408-423. https://doi.org/10.1016/j.compositesb.2015.11.031
  12. Fu, Y., Hu, S. and Mao, Y. (2014), "Nonlinear transient response of functionally graded shallow spherical shells subjected to mechanical load and unsteady temperature field", Acta Mech. Sol. Sin., 27(5), 496-508. https://doi.org/10.1016/S0894-9166(14)60058-6
  13. Ghannad, M. and Yaghoobi, M.P. (2017), "2D thermo elastic behavior of a FG cylinder under thermomechanical loads using a first order temperature theory", J. Press. Vess. Pip., 149, 75-92. https://doi.org/10.1016/j.ijpvp.2016.12.002
  14. Hamed, M.A., Eltaher, M.A., Sadoun, A.M. and Almitani, K.H. (2016), "Free vibration of symmetric and sigmoid functionally graded nanobeams", Appl. Phys. A, 122(9), 829. https://doi.org/10.1007/s00339-016-0324-0
  15. Jafari Fesharaki, J., Madani, S.G. and Golabi, S.I. (2016), "Numerical and analytical investigation of a cylinder made of functional graded materials under thermo-mechanical fields", J. Mod. Proc. Manuf. Prod., 5(3), 59-68.
  16. Kar, V.R. and Panda, S.K. (2015), "Free vibration responses of temperature dependent functionally graded curved panels under thermal environment", Lat. Am. J. Sol. Struct., 12(11), 2006-2024. https://doi.org/10.1590/1679-78251691
  17. Khazaeinejad, P. and Usmani, A.S. (2016), "Temperaturedependent nonlinear analysis of shallow shells: A theoretical approach", Compos. Struct., 141, 1-13. https://doi.org/10.1016/j.compstruct.2016.01.060
  18. Liang, X., Wang, Z., Wang, L., Izzuddin, B.A. and Liu, G. (2015), "A semi-analytical method to evaluate the dynamic response of functionally graded plates subjected to underwater shock", J. Sound Vibr., 336, 257-274. https://doi.org/10.1016/j.jsv.2014.10.013
  19. Liew, K.M., Zhao, X. and Ferreira, A.J. (2011), "A review of meshless methods for laminated and functionally graded plates and shells", Compos. Struct., 93(8), 2031-2041. https://doi.org/10.1016/j.compstruct.2011.02.018
  20. Moosaie, A. (2016), "A nonlinear analysis of thermal stresses in an incompressible functionally graded hollow cylinder with temperature-dependent material properties", Eur. J. Mech.-A/Sol., 55, 212-220. https://doi.org/10.1016/j.euromechsol.2015.09.005
  21. Najibi, A. and Talebitooti, R. (2017), "Nonlinear transient thermoelastic analysis of a 2D-FGM thick hollow finite length cylinder", Compos. Part B: Eng., 111, 211-227. https://doi.org/10.1016/j.compositesb.2016.11.055
  22. Ranjbar, J. and Alibeigloo, A. (2016), "Response of functionally graded spherical shell to thermo-mechanical shock", Aerosp. Sci. Technol., 51, 61-69. https://doi.org/10.1016/j.ast.2016.01.021
  23. Sator, L., Sladek, V. and Sladek, J. (2017), "Multi-gradation coupling effects in FGM plates", Compos. Struct., 171, 515-527. https://doi.org/10.1016/j.compstruct.2017.03.063
  24. She, G.L., Yuan, F.G. and Ren, Y.R. (2017), "Research on nonlinear bending behaviors of FGM infinite cylindrical shallow shells resting on elastic foundations in thermal environments", Compos. Struct., 170, 111-121. https://doi.org/10.1016/j.compstruct.2017.03.010
  25. Sheng, G.G. and Wang, X. (2017), "Nonlinear response of fluidconveying functionally graded cylindrical shells subjected to mechanical and thermal loading conditions", Compos. Struct., 168, 675-684. https://doi.org/10.1016/j.compstruct.2017.02.063
  26. Thai, H.T. and Kim, S.E. (2015), "A review of theories for the modeling and analysis of functionally graded plates and shells", Compos. Struct., 128, 70-86. https://doi.org/10.1016/j.compstruct.2015.03.010
  27. Tounsi, A., Houari, M.S.A. and Bessaim, A. (2016), "A new 3-unknowns non-polynomial plate theory for buckling and vibration of functionally graded sandwich plate", Struct. Eng. Mech., 60(4), 547-565. https://doi.org/10.12989/sem.2016.60.4.547
  28. Viola, E., Rossetti, L., Fantuzzi, N. and Tornabene, F. (2016), "Generalized stress-strain recovery formulation applied to functionally graded spherical shells and panels under static loading", Compos. Struct., 156, 145-164. https://doi.org/10.1016/j.compstruct.2015.12.060
  29. Wu, C.P. and Lim, X.F. (2016), "Coupled electro-mechanical effects and the dynamic responses of functionally graded piezoelectric film-substrate circular hollow cylinders", Thin-Wall. Struct., 102, 1-17. https://doi.org/10.1016/j.tws.2016.01.008
  30. Wu, C.P. and Liu, Y.C. (2016), "A review of semi-analytical numerical methods for laminated composite and multilayered functionally graded elastic/piezoelectric plates and shells", Compos. Struct., 147, 1-15. https://doi.org/10.1016/j.compstruct.2016.03.031

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