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Time-dependent creep analysis and life assessment of 304 L austenitic stainless steel thick pressurized truncated conical shells

  • Received : 2018.02.23
  • Accepted : 2018.05.23
  • Published : 2018.08.10

Abstract

This paper presents a semi-analytical solution for the creep analysis and life assessment of 304L austenitic stainless steel thick truncated conical shells using multilayered method based on the first order shear deformation theory (FSDT). The cone is subjected to the non-uniform internal pressure and temperature gradient. Damages are obtained in thick truncated conical shell using Robinson's linear life fraction damage rule, and time to rupture and remaining life assessment is determined by Larson-Miller Parameter (LMP). The creep response of the material is described by Norton's law. In the multilayer method, the truncated cone is divided into n homogeneous disks, and n sets of differential equations with constant coefficients. This set of equations is solved analytically by applying boundary and continuity conditions between the layers. The results obtained analytically have been compared with the numerical results of the finite element method. The results show that the multilayered method based on FSDT has an acceptable amount of accuracy when one wants to obtain radial displacement, radial, circumferential and shear stresses. It is shown that non-uniform pressure has significant influences on the creep damages and remaining life of the truncated cone.

Keywords

References

  1. Abdelaziz, H.H., Meziane, M.A.A., Bousahla, A.A., Tounsi, A., Mahmoud, S.R. and Alwabli, A.S. (2017), "An efficient hyperbolic shear deformation theory for bending, buckling and free vibration of FGM sandwich plates with various boundary conditions", Steel Compos. Struct., Int. J., 25(6), 693-704.
  2. Afshin, A., Nejad, M.Z. and Dastani, K. (2017), "Transient thermoelastic analysis of FGM rotating thick cylindrical pressure vessels under arbitrary boundary and initial conditions", J. Comput. Appl. Mech., 48(1), 15-26.
  3. Ahmed, J.A. and Wahab, M.A. (2015), "Thermoelastic and creep analysis of a functionally graded rotating cylindrical vessel with internal heat generation", World J. Eng., 12(6), 517-532. https://doi.org/10.1260/1708-5284.12.6.517
  4. Altenbach, H., Gorash, Y. and Naumenko, K. (2008), "Steady-state creep of a pressurized thick cylinder in both the linear and the power law ranges", Acta Mech., 195(1-4), 263-274. https://doi.org/10.1007/s00707-007-0546-5
  5. Bores, A.P. and Schmidt, R.J. (2003), Advanced Mechanics of Materials, John Wiley & Sons, Inc., New York, NY, USA.
  6. Dai, H.-L. and Zheng, H.-Y. (2012), "Creep buckling and post-buckling analyses of a viscoelastic FGM cylindrical shell with initial deflection subjected to a uniform in-plane load", J. Mech., 28(2), 391-399. https://doi.org/10.1017/jmech.2012.44
  7. Dehghan, M., Nejad, M.Z. and Moosaie, A. (2016), "Thermo-electro-elastic analysis of functionally graded piezoelectric shells of revolution: Governing equations and solutions for some simple cases", Int. J. Eng. Sci., 104, 34-61. https://doi.org/10.1016/j.ijengsci.2016.04.007
  8. Eipakchi, H., Rahimi, G. and Esmaeilzadeh, K. (2003), "Closed form solution for displacements of thick cylinders with varying thickness subjected to non-uniform internal pressure", Struct. Eng. Mech., Int. J., 16(6), 731-748. https://doi.org/10.12989/sem.2003.16.6.731
  9. Fatehi, P. and Nejad, M.Z. (2014), "Effects of material gradients on onset of yield in FGM rotating thick cylindrical shells", Int. J. Appl. Mech., 6(4), Article Number: 1450038.
  10. Fesharaki, J.J., Loghman, A., Yazdipoor, M. and Golabi, S. (2014), "Semi-analytical solution of time-dependent thermomechanical creep behavior of FGM hollow spheres", Mech. Time-Depend. Mater., 18(1), 41-53. https://doi.org/10.1007/s11043-013-9212-6
  11. Foroutan, M., Moradi-Dastjerdi, R. and Sotoodeh-Bahreini, R. (2012), "Static analysis of FGM cylinders by a mesh-free method", Steel Compos. Struct., Int. J., 12(1), 1-11.
  12. Ghannad, M. and Nejad, M.Z. (2010), "Elastic analysis of pressurized thick hollow cylindrical shells with clamped-clamped ends", Mechanika, 5(85), 11-18.
  13. Ghannad, M. and Nejad, M.Z. (2013), "Elastic solution of pressurized clamped-clamped thick cylindrical shells made of functionally graded materials", J. Theor. Appl. Mech., 51(4), 1067-1079.
  14. Ghannad, M., Nejad, M.Z. and Rahimi, G.H. (2009), "Elastic solution of axisymmetric thick truncated conical shells based on first-order shear deformation theory", Mechanika, 79(5), 13-20.
  15. Ghannad, M., Rahimi, G.H. and Nejad, M.Z. (2012a), "Determination of displacements and stresses in pressurized thick cylindrical shells with variable thickness using perturbation technique", Mechanika, 18(1), 14-21.
  16. Ghannad, M., Nejad, M.Z., Rahimi, G.H. and Sabouri, H. (2012b), "Elastic analysis of pressurized thick truncated conical shells made of functionally graded materials", Struct. Eng. Mech., Int. J., 43(1), 105-126. https://doi.org/10.12989/sem.2012.43.1.105
  17. Ghannad, M., Rahimi, G.H. and Nejad, M.Z. (2013), "Elastic analysis of pressurized thick cylindrical shells with variable thickness made of functionally graded materials", Compos. Part B- Eng., 45(1), 388-396. https://doi.org/10.1016/j.compositesb.2012.09.043
  18. Gharibi, M., Nejad, M.Z. and Hadi, A. (2017), "Elastic analysis of functionally graded rotating thick cylindrical pressure vessels with exponentially-varying properties using power series method of Frobenius", J. Comput. Appl. Mech., 48(1), 89-98.
  19. Hachemi, H., Kaci, A., Houari, M.S.A., Bourada, M., Tounsi, A. and Mahmoud, S.R. (2017), "A new simple three-unknown shear deformation theory for bending analysis of FG plates resting on elastic foundations", Steel Compos. Struct., Int. J., 25(6), 717-726.
  20. Jabbari, M., Nejad, M.Z. and Ghannad, M. (2015), "Thermoelastic analysis of axially functionally graded rotating thick cylindrical pressure vessels with variable thickness under mechanical loading", Int. J. Eng. Sci., 96, 1-18. https://doi.org/10.1016/j.ijengsci.2015.07.005
  21. Jabbari, M., Nejad, M.Z. and Ghannad, M. (2016), "Thermoelastic analysis of axially functionally graded rotating thick truncated conical shells with varying thickness", Compos. Part B- Eng., 96, 20-34. https://doi.org/10.1016/j.compositesb.2016.04.026
  22. Jandaghian, A.A. and Rahmani, O. (2017), "Vibration analysis of FG nanobeams based on third-order shear deformation theory under various boundary conditions", Steel Compos. Struct., Int. J., 25(1), 67-78.
  23. Kashkoli, M.D. and Nejad, M.Z. (2014), "Effect of heat flux on creep stresses of thick-walled cylindrical pressure vessels", J. Appl. Res. Technol., 12(3), 585-597. https://doi.org/10.1016/S1665-6423(14)71637-2
  24. Kashkoli, M.D. and Nejad, M.Z. (2015), "Time-dependent thermo-elastic creep analysis of thick-walled spherical pressure vessels made of functionally graded materials", J. Theor. Appl. Mech., 53(4), 1053-1065.
  25. Kashkoli, M., Tahan, K.N. and Nejad, M.Z. (2017a), "Time-dependent creep analysis for life assessment of cylindrical vessels using first order shear deformation theory", J. Mech., 33(4), 461-474. https://doi.org/10.1017/jmech.2017.6
  26. Kashkoli, M.D., Tahan, K.N. and Nejad, M.Z. (2017b), "Time-dependent thermomechanical creep behavior of FGM thick hollow cylindrical shells under non-uniform internal pressure", Int. J. Appl. Mech., 9(6), Article Number: 1750086.
  27. Kashkoli, M.D., Tahan, K.N. and Nejad, M.Z. (2018), "Thermomechanical creep analysis of FGM thick cylindrical pressure vessels with variable thickness", Int. J. Appl. Mech., 10(1), Article Number: 1850008.
  28. Larson, F.R. and Miller, J. (1952), A Time-Temperature Relationship for Rupture and Creep Stresses, Transaction ASME.
  29. Loghman, A. and Moradi, M. (2013), "The analysis of timedependent creep in FGPM thick walled sphere under electromagneto-thermo-mechanical loadings", Mech. Time-Depend. Mater., 17(3), 315-329. https://doi.org/10.1007/s11043-012-9185-x
  30. 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
  31. Loghman, A., Ghorbanpour Arani, A. and Aleayoub, S. (2011), "Time-dependent creep stress redistribution analysis of thick-walled functionally graded spheres", Mech. Time-Depend. Mater., 15(4), 353-365. https://doi.org/10.1007/s11043-011-9147-8
  32. Mazarei, Z., Nejad, M.Z. and Hadi, A. (2016), "Thermo-elasto-plastic analysis of thick-walled spherical pressure vessels made of functionally graded materials", Int. J. Appl. Mech., 8(4), Article Number: 1650054.
  33. Mehditabar, A., Alashti, R.A. and Pashaei, M. (2014), "Magnetothermo-elastic analysis of a functionally graded conical shell", Steel Compos. Struct., Int. J., 16(1), 77-96. https://doi.org/10.12989/scs.2014.16.1.077
  34. Naumenko, K. and Altenbach, H. (2007), Modeling of Creep for Structural Analysis, Springer Science & Business Media.
  35. Nejad, M.Z. and Fatehi, P. (2015), "Exact elasto-plastic analysis of rotating thick-walled cylindrical pressure vessels made of functionally graded materials", Int. J. Eng. Sci., 86, 26-43. https://doi.org/10.1016/j.ijengsci.2014.10.002
  36. Nejad, M.Z. and Kashkoli, M.D. (2014), "Time-dependent thermocreep analysis of rotating FGM thick-walled cylindrical pressure vessels under heat flux", Int. J. Eng. Sci., 82, 222-237. https://doi.org/10.1016/j.ijengsci.2014.06.006
  37. Nejad, M.Z., Jabbari, M. and Ghannad, M. (2014a), "A semianalytical solution of thick truncated cones using matched asymptotic method and disk form multilayers", Arch. Mech. Eng., 61(3), 495-513. https://doi.org/10.2478/meceng-2014-0029
  38. Nejad, M.Z., Rastgoo, A. and Hadi, A. (2014b), "Exact elasto-plastic analysis of rotating disks made of functionally graded materials", Int. J. Eng. Sci., 85, 47-57. https://doi.org/10.1016/j.ijengsci.2014.07.009
  39. Nejad, M.Z., Hoseini, Z., Niknejad, A. and Ghannad, M. (2015a), "Steady-state creep deformations and stresses in FGM rotating thick cylindrical pressure vessels", J. Mech., 31(1), 1-6. https://doi.org/10.1017/jmech.2014.70
  40. Nejad, M.Z., Jabbari, M. and Ghannad, M. (2015b), "Elastic analysis of FGM rotating thick truncated conical shells with axially-varying properties under non-uniform pressure loading", Compos. Struct., 122, 561-569. https://doi.org/10.1016/j.compstruct.2014.12.028
  41. Nejad, M.Z., Jabbari, M. and Ghannad, M. (2017), "A general disk form formulation for thermo-elastic analysis of functionally graded thick shells of revolution with arbitrary curvature and variable thickness", Acta Mech., 228(1), 215-231. https://doi.org/10.1007/s00707-016-1709-z
  42. Nobakhti, H. and Soltani, N. (2014), "Evaluating small punch test as accelerated creep test using Larson-Miller parameter", Exp. Tech., 40(2), 645-650. https://doi.org/10.1007/s40799-016-0067-z
  43. Obata, Y. and Noda, N. (1994), "Steady thermal stresses in a hollow circular cylinder and a hollow sphere of a functionally gradient material", J. Therm. Stress., 14, 471-487.
  44. Pankaj Thakur, D., Gupta, N. and Bir Singh, S. (2017), "Creep strain rates analysis in cylinder under temperature gradient materials by using Seth's theory", Eng. Computat., 34(3), 1020-1030. https://doi.org/10.1108/EC-05-2016-0159
  45. Robinson, E.L. (1952), "Effect of temperature variation on the long-time rupture strength of steels", Transaction ASME, 74(5), 777-781.
  46. Sekkal, M., Fahsi, B., Tounsi, A. and Mahmoud, S.R. (2017), "A novel and simple higher order shear deformation theory for stability and vibration of functionally graded sandwich plate", Steel Compos. Struct., Int. J., 25(4), 389-401.
  47. Singh, T. and Gupta, V. (2010), "Modeling steady state creep in functionally graded thick cylinder subjected to internal pressure", J. Compos. Mater., 44(11), 1317-1333. https://doi.org/10.1177/0021998309353214
  48. Singh, T. and Gupta, V. (2014), "Analysis of steady state creep in whisker reinforced functionally graded thick cylinder subjected to internal pressure by considering residual stress", Mech. Adv. Mater. Struct., 21(5), 384-392. https://doi.org/10.1080/15376494.2012.697600
  49. Sofiyev, A.H. (2017), "The stability analysis of shear deformable FGM sandwich conical shells under the axial load", Compos. Struct., 176, 803-811. https://doi.org/10.1016/j.compstruct.2017.06.022
  50. Sofiyev, A.H. (2018a), "Application of the first order shear deformation theory to the solution of free vibration problem for laminated conical shells", Compos. Struct., 188, 340-346. https://doi.org/10.1016/j.compstruct.2018.01.016
  51. Sofiyev, A.H. (2018b), "Application of the FOSDT to the solution of buckling problem of FGM sandwich conical shells under hydrostatic pressure", Compos. Part B-Eng., 144, 88-98. https://doi.org/10.1016/j.compositesb.2018.01.025
  52. Sofiyev, A.H. and Aksogan, O. (2002), "The dynamic stability of a nonhomogeneous orthotropic elastic truncated conical shell under a time dependent external pressure", Struct. Eng. Mech., Int. J., 13(3), 329-343. https://doi.org/10.12989/sem.2002.13.3.329
  53. Sofiyev, A.H. and Osmancelebioglu, E. (2017), "The free vibration of sandwich truncated conical shells containing functionally graded layers within the shear deformation theory", Compos. Part B-Eng., 120, 197-211. https://doi.org/10.1016/j.compositesb.2017.03.054
  54. Sofiyev, A.H., Keskin, E.M., Erdem, H. and Zerin, Z. (2003), "Buckling of an orthotropic cylindrical thin shell with continuously varying thickness under a dynamic loading", Indian J. Eng. Mater. Sci., 10(5), 365-370.
  55. Sofiyev, A.H., Zerin, Z., Allahverdiev, B.P., Hui, D., Turan, F. and Erdem, H. (2017), "The dynamic instability of FG orthotropic conical shells within the SDT", Steel Compos. Struct., Int. J., 25(5), 581-591.
  56. Tahami, F.V., Sorkhabi, A.H.D. and Biglari, F.R. (2010), "Creep constitutive equations for cold-drawn 304L stainless steel", Mat. Sci. Eng: A, 527(18), 4993-4999. https://doi.org/10.1016/j.msea.2010.04.055
  57. Van Dung, D. and Chan, D.Q. (2017), "Analytical investigation on mechanical buckling of FGM truncated conical shells reinforced by orthogonal stiffeners based on FSDT", Compos. Struct., 159, 827-841. https://doi.org/10.1016/j.compstruct.2016.10.006
  58. Vlachoutsis, S. (1992), "Shear correction factors for plates and shells", Int. J. Numer. Method. Eng., 33(7), 1537-1552. https://doi.org/10.1002/nme.1620330712
  59. Yang, Y. (2000), "Time-dependent stress analysis in functionally graded materials", Int. J. Solids Struct., 37(51), 7593-7608. https://doi.org/10.1016/S0020-7683(99)00310-8
  60. You, L., Ou, H. and Zheng, Z. (2007), "Creep deformations and stresses in thick-walled cylindrical vessels of functionally graded materials subjected to internal pressure", Compos. Struct., 78(2), 285-291. https://doi.org/10.1016/j.compstruct.2005.10.002

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