Steel and Composite Structures

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Time-dependent creep analysis of a functionally graded beam with trapezoidal cross section using first-order shear deformation theory

  • Mirzaei, Manouchehr Mohammad Hosseini (Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan) ;
  • Loghman, Abbas (Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan) ;
  • Arefi, Mohammad (Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan)
  • Received : 2018.03.01
  • Accepted : 2019.03.10
  • Published : 2019.03.25
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Abstract

Time-dependent creep analysis of a rotating functionally graded cantilever beam with trapezoidal longitudinal cross section subjected to thermal and inertia loading is investigated using first-order shear deformation theory (FSDT). The model described in this paper is a simple simulation of a turbine blade working under creep condition. The material is a metal based composite reinforced by a ceramic where the creep properties of which has been described by the Sherby's constitutive model. All mechanical and thermal properties except Poisson's ratio are assumed to be variable longitudinally based on the volume fraction of constituent. The principle of virtual work as well as first order shear deformation theory is used to derive governing equations. Longitudinal distribution of displacements and stresses are investigated for various volume fractions of reinforcement. Method of successive elastic solution is employed to obtain history of stresses and creep deformations. It is found that stresses and displacements approach their steady state values after 40000 hours. The results presented in this paper can be used for selection of appropriate longitudinal distribution of reinforcement to achieve the desired stresses and displacements.

Keywords

References

  1. Arefi, M. and Rahimi, G.H. (2012), "Three-dimensional multifield equations of a functionally graded piezoelectric thick shell with variable thickness, curvature and arbitrary nonhomogeneity", Acta. Mech., 223(1), 63-79. https://doi.org/10.1007/s00707-011-0536-5
  2. Arefi, M. and Zenkour, A. (2017a), "Electro-magneto-elastic analysis of a three-layer curved beam", Smart. Struct. Syst., Int. J., 19(6), 695-703.
  3. Arefi, M. and Zenkour, A.M. (2017b), "Size-dependent electroelastic analysis of a sandwich microbeam based on higher-order sinusoidal shear deformation theory and strain gradient theory", J. Intel. Mater. Syst. Struct., 29(7), 1394-1406. https://doi.org/10.1177/1045389X17733333
  4. Arefi, M., Faegh, R.K. and Loghman, A. (2016), "The effect of axially variable thermal and mechanical loads on the 2D thermoelastic response of FG cylindrical shell", J. Therm. Stresses., 39(12), 1539-1559. https://doi.org/10.1080/01495739.2016.1217178
  5. Brnic, J., CanaDija, M., Turkalj, G., Krscanski, S., Lanc, D., Brcic, M. and Zeng, G. (2016), "Short-time creep, fatigue and mechanical properties of 42CrMo4-low alloy structural steel", Steel Compos. Struct., Int. J., 22(4), 875-888. https://doi.org/10.12989/scs.2016.22.4.875
  6. Chakraborty, A., Gopalakrishnan, S. and Reddy, J.N. (2003), "A new beam finite element for the analysis of functionally graded materials", Int. J. Mech. Sci., 45(3), 519-539. https://doi.org/10.1016/S0020-7403(03)00058-4
  7. Ghorbanpour Arani, A., Mosallaie Barzoki, A.A., Kolahchi, R., Mozdianfard, M.R. and Loghman, A. (2011), "Semi-analytical solution of time-dependent electro-thermo-mechanical creep for radially polarized piezoelectric cylinder", Comput. Struct., 89(15), 1494-1502. https://doi.org/10.1016/j.compstruc.2011.05.001
  8. Golmakaniyoon, S. and Akhlaghi, F. (2016), "Time-dependent creep behavior of Al-SiC functionally graded beams under inplane thermal loading", Comput. Mater. Sci., 121C, 182-190. https://doi.org/10.1016/j.commatsci.2016.04.038
  9. Gupta, V.K., Singh, S.B., Chandrawat, H.N. and Ray, S. (2004), "Steady state creep and material parameters in a rotating disc of Al-SiCP composite", Eur. J. Mech-A/Solids, 23(2), 335-344. https://doi.org/10.1016/j.euromechsol.2003.11.005
  10. Kadoli, R., Akhtar, K. and Ganesan, N. (2008), "Static analysis of functionally graded beams using higher order shear deformation theory", Appl. Math. Model., 32(12), 2509-2525. https://doi.org/10.1016/j.apm.2007.09.015
  11. Kapania, R.K. and Raciti, S. (1989), "Recent advances in analysis of laminated beams and plates. Part I - Sheareffects and buckling", AIAA Journal, 27(7), 923-935. https://doi.org/10.2514/3.10202
  12. Kiani, Y. and Eslami, M.R. (2010), "Thermal buckling analysis of functionally graded material beams", Int. J. Mech. Mater. Des., 6(3), 229-238. https://doi.org/10.1007/s10999-010-9132-4
  13. Kordkheili, S.A.H. and Naghdabadi, R. (2007), "Thermoelastic analysis of a functionally graded rotating disk", Compos. Struct., 79(4), 508-516. https://doi.org/10.1016/j.compstruct.2006.02.010
  14. Li, X.F. (2008), "A unified approach for analyzing static and dynamic behaviors of functionally graded Timoshenko and Euler-Bernoulli beams", J. Sound. Vib., 318(4), 1210-1229. https://doi.org/10.1016/j.jsv.2008.04.056
  15. Loghman, A. and Wahab, M.A. (1996), "Creep damage simulation of thick-walled tubes using the Θ projection concept", Int. J. Pres. Ves. Pip., 67(1), 105-111. https://doi.org/10.1016/0308-0161(94)00175-8
  16. Loghman, A., Ghorbanpour Arani, A., Amir, S. and Vajedi, A. (2010), "Magnetothermoelastic creep analysis of functionally graded cylinders", Int. J. Pres. Ves. Pip., 87(7), 389-395. https://doi.org/10.1016/j.ijpvp.2010.05.001
  17. Loghman, A., Ghorbanpour Arani, A., Shajari, A.R. and Amir, S. (2011), "Time-dependent thermoelastic creep analysis of rotating disk made of Al-SiC composite", Arch. Appl. Mech., 81(12), 1853-1864. https://doi.org/10.1007/s00419-011-0522-3
  18. Loghman, A., Abdollahian, M., Jafarzadeh Jazi, A. and Arani, A.G. (2013), "Semi-analytical solution for electromagnetothermoelastic creep response of functionally graded piezoelectric rotating disk", Int. J. Therm. Sci., 65, 254-266. https://doi.org/10.1016/j.ijthermalsci.2012.10.011
  19. Loghman, A., Hammami, M. and Loghman, E. (2017), "Effect of the silicon-carbide micro- and nanoparticle size on the thermoelastic and time-dependent creep response of a rotating Al-SiC composite cylinder", J. Appl. Mech. Techn. Phys., 58(3), 443-453. https://doi.org/10.1134/S0021894417030099
  20. Loghman, A., Faegh, R.K. and Arefi, M. (2018), "Two dimensional time-dependent creep analysis of a thick-walled FG cylinder based on first order shear deformation theory", Steel Compos. Struct., Int. J., 26(5), 533-547.
  21. Mendelson, A. (1968), Plasticity Theory and Applications, The Macmillan Company
  22. Mirsky, I. (1959), Axially Symmetric Motions of Thick Cylindrical Shells.
  23. Nguyen, T.-K., Vo, T.P. and Thai, H.-T. (2013), "Static and free vibration of axially loaded functionally graded beams based on the first-order shear deformation theory", Compos. Part B: Eng., 55, 147-157. https://doi.org/10.1016/j.compositesb.2013.06.011
  24. Niknam, H., Fallah, A. and Aghdam, M.M. (2014), "Nonlinear bending of functionally graded tapered beams subjected to thermal and mechanical loading", Int. J. Non-Linear Mech., 65, 141-147. https://doi.org/10.1016/j.ijnonlinmec.2014.05.011
  25. Oh, Y. and Yoo, H.H. (2016), "Vibration analysis of rotating pretwisted tapered blades made of functionally graded materials", Int. J. Mech. Sci., 119, 68-79. https://doi.org/10.1016/j.ijmecsci.2016.10.002
  26. Rao, J.S. and Vyas, N.S. (1996), "Determination of Blade Stresses Under Constant Speed and Transient Conditions With Nonlinear Damping", J. Eng. Gas Turb. Power, 118(2), 424-433. https://doi.org/10.1115/1.2816607
  27. Sahan, M.F. (2015), "Transient analysis of cross-ply laminated shells using FSDT: Alternative formulation", Steel Compos. Struct., Int. J., 18(4), 889-907. https://doi.org/10.12989/scs.2015.18.4.889
  28. Sankar, B.V. (2001), "An elasticity solution for functionally graded beams", Compos. Sci. Tech., 61(5), 689-696. https://doi.org/10.1016/S0266-3538(01)00007-0
  29. Sankar, B.V. and Tzeng, J.T. (2002), "Thermal Stresses in Functionally Graded Beams", AIAA Journal, 40(6), 1228-1232. https://doi.org/10.2514/2.1775
  30. Shi, G., Lam, K.Y. and Tay, T.E. (1998), "On efficient finite element modeling of composite beams and plates using higher-order theories and an accurate composite beam element", Compos. Struct., 41(2), 159-165. https://doi.org/10.1016/S0263-8223(98)00050-6

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