Effect of Different FGM Models on Creep Analysis of Thick-walled Cylindrical Pressure Vessel

Subject Areas :

Fakher  Abdolkhani ¹ (Department of mechanical engineering, Khomeinishahr branch, Islamic Azad University, Khomeinishahr, Iran)
Mohammad  Hashemian ² (Department of Mechanical Engineering , Khomeinishahr Branch, Islamic Azad University, Khomeinishahr, Isfahan, Iran)
Farshid  Aghadavoudi ³ (دانشگاه آزاد خمینی شهر)
Nabard  Habibi ⁴ (Department of Mechanical Engineering, Faculty of Engineering, University of Kurdistan, 6617715175, Sanandaj, Iran)

Received: 2023-08-28 Accepted : 2023-10-19 Published : 2023-08-01

Keywords: Creep, FGM, Pressure vessel, Radial stress,

Abstract :

Thick-walled cylindrical vessels are used widely in petrochemical and power plants. New additive manufacturing technology has made it possible to make FGMs. This research studies the creep analysis in the cylindrical FGM pressure vessel by considering three models and yield criteria. Also, the governing equations were extracted by considering the FGM models, and for determining creep stresses, the partial differential equations, were solved. Norton's equation is used to determine creep strain rates. The advantage of the exponential model is that in the inner radius for all n radial and circumferential creep strains rates have a constant value that is maintained by increasing the internal pressure up to 400 MPa. The graphs are smooth, and their values tend to zero in the outer radius. The changes of creep strain rate in terms of n in different internal pressures for the exponential model in the inner radius of the vessel show that increasing n from -4 to 0, these parameters have a reduction to the form of an exponential function, and the slope of the graph has the highest value at 360 MPa.

References:

[1] Xu, Q., Yang, X. and Lu, Z. 2017. On the development of creep damage constitutive equations: A modified hyperbolic sine law for minimum creep strain rate and stress and creep fracture criteria based on cavity area fraction along grain boundaries. Materials at High Temperatures. 34(5-6): 323-332. doi: 10.1080/09603409.2017.1388603.
[2] Stewart, C.M. and Gordon, A.P. 2012. Constitutive modeling of multistage creep damage in isotropic and transversely isotropic alloys with elastic damage. Journal of Pressure Vessel Technology. 134(4): doi: 10.1115/1.4005946.
[3] Rouse, J.P., Sun, W., Hyde, T.H. and Morris, A. 2013. Comparative assessment of several creep damage models for use in life prediction. International Journal of Pressure Vessels and Piping. 108-109: 81-87. doi: 10.1016/j.ijpvp.2013.04.012.
[4] Mao, J.F., Zhu, J.W., Bao, S.Y., Luo, L.J. and Gao, Z.L. 2015. Creep and damage analysis of reactor pressure vessel considering core meltdown scenario. Procedia Engineering. 130: 1148-1161. doi: 10.1016/j.proeng.2015.12.283.
[5] Kan, K., Muránsky, O., Bendeich, P.J., Wright, R.N., Kruzic, J.J. and Payten, W. 2019. Assessment of creep damage models in the prediction of high-temperature creep behaviour of alloy 617. International Journal of Pressure Vessels and Piping. 177: 103974. doi: 10.1016/j.ijpvp.2019.103974.
[6] Habibi, N., Samawati, S. and Ahmadi, O. 2019. Transient thermal stresses analysis in a fpgm cylinder. Mechanics Of Advanced Composite Structures. 6(2): 81-94. doi: 10.22075/macs.2019.14988.1147.
[7] Houari, A., Madani, K., Amroune, S., Zouambi, L. and Elajrami, M. 2023. Numerical study of the mechanical behaviour and damage of FGM bent pipes under internal pressure and combined bending moment. Acta Mechanica et Automatica. 17(3): 460-468. doi:10.2478/ama-2023-0053.
[8] Abdolkhani, F., Hashemian, M., Aghadavoudi, F. and Habibi, N. 2023. Creep of autofrettaged thick-walled FGM cylindrical vessel. Proceedings of the Institution of Mechanical Engineers, Part
C: Journal of Mechanical Engineering Science. 09544062231185501. doi: 10.1177/09544062231185501.
[9] Zrinej, S., Laghzale, N. and Bouzid, H.A. 2023. Analytical modeling of shrink-fitted FGM thick-walled cylinder. International Journal of Engineering Research in Africa. 66: 61-74. doi: 10.4028/p-R5wvlY.
[10] Sklepus, S.M. 2022. Creep of complex-shaped bodies of revolution made of functionally gradient materials. International Applied Mechanics. 58: 464-471. doi: 10.1007/s10778-022-01171-0.
[11] Najibi, A. 2017. Mechanical stress reduction in a pressurized 2d-FGM thick hollow cylinder with finite length. International Journal of Pressure Vessels and Piping. 153: 32-44. doi: 10.1016/j.ijpvp.2017.05.007.
[12] Habibi, N., Samawati, S. and Ahmadi, O. 2016. Creep analysis of the FGM cylinder under steady-state symmetric loading. Journal of Stress Analysis. 1(1): 9-21. doi: 10.22084/jsa.2017.11195.1003.
[13] Yildirim, V. 2017. Exact Thermal Analysis of Functionally Graded Cylindrical and Spherical Vessels. International Journal of Engineering and Applied Sciences. 9(2): 112-126. doi: 10.24107/ijeas.318459.
[14] Aleayoub, S.M.A. and Loghman, A. 2010. Creep stress redistribution analysis of thick-walled FGM spheres. Journal of Solid Mechanics. 2(2): 115-128. dor: 20.1001.1.20083505.2010.2.2.2.0
[15] Celebi, K., Yarimpabuç, D. and Keles, I. 2017. 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. doi: https://doi.org/10.15632/jtam-pl.55.1.343.
[16] Kalali, A.T., Moud, S.H. and Hassani, B. 2016. Elasto-plastic stress analysis in rotating disks and pressure vessels made of functionally graded materials. Latin American Journal of Solids and Structures. 13(5): 819-834. doi: 10.1590/1679-78252420.
[17] Jabbari, M., Bahtui, A. and Eslami, M.R. 2006. Axisymmetric mechanical and thermal stresses in thick long FGM cylinders. Journal of Thermal Stresses. 29(7): 643-663. doi: 10.1080/01495730500499118.
[18] Nagler, J. 2016. Radial body forces influence on FGM and non- FGM cylindrical pressure vessels. Journal of Composites. 2016: 3298685. doi: 10.1155/2016/3298685.
[19] Khanna, K., Gupta, V. and Nigam, S. 2015. Creep analysis of a variable thickness rotating FGM disc using tresca criterion. Defence Science Journal. 65: 163-170. doi: 10.14429/dsj.65.8045.
[20] Smaisim, G.F., Bidgoli, M.O., Goh, K.L. and Bakhtiari, H. Review of thermoelastic, thermal properties and creep analysis of functionally graded cylindrical shell. Australian Journal of Mechanical Engineering.): 1-12. doi: 10.1080/14484846.2022.2100045.
[21] Kiarasi, F., Babaei, M., Omidi Bidgoli, M., Reza Kashyzadeh, K. and Asemi, K. 2022. Mechanical characterization and creep strengthening of az91 magnesium alloy by addition of yttrium oxide nanoparticles. Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications. 236(8): 1489-1500. doi: 10.1177/14644207211073499.
[22] Koohi Faegh Dehkourdi, R., Omidi Bidgoli, M. and Hosseini, M. 2022. A case study on the influence of friction coefficient and rotational speed on transient thermoelastic response of FGM
rotating cylinder. Mechanics Of Advanced Composite Structures. 9(2): 399-408. doi: 10.22075/macs.2022.24906.1362.
[23] Seddighi, H., Ghannad, M. and Loghman, A. 2023. Creep behavior of cylinders subjected to an internal pressure and a two dimensional temperature field using first order shear deformation theory. Journal of Solid Mechanics. 15(3): 327-342. doi: 10.22034/jsm.2023.1977631.1764.
[24] Ahmed, J. A. 2017. Analytical solutions and multiscale creep analysis of Functionally Graded cylindrical pressure vessels. Louisiana State University and Agricultural and Mechanical College. doi: 10.31390/gradschool_dissertations.4279.
[25] Clyne, T.W. and Withers, P.J. 1993. An introduction to metal matrix composites. ed. Cambridge University Press, Cambridge.
[26] Nieh, T.G. 1984. Creep rupture of a silicon carbide reinforced aluminum composite. Metallurgical Transactions A. 15(1): 139-146. doi: 10.1007/BF02644396.
[27] Jahed, H. and Bidabadi, J. 2003. An axisymmetric method of creep analysis for primary and secondary creep. International Journal of Pressure Vessels and Piping. 80(9): 597-606. doi: 10.1016/S0308-0161(03)00136-4.
[28] Singh, S. and Rattan, M. 2010. Creep analysis of an isotropic rotating al-sic composite disc taking into account the phase-specific thermal residual stress. Journal of Thermoplastic Composite Materials. 23: 299-312. doi: 10.1177/0892705709345938.
[29] Chen, J.J., Tu, S.T., Xuan, F.Z. and Wang, Z.D. 2007. Creep analysis for a functionally graded cylinder subjected to internal and external pressure. The Journal of Strain Analysis for Engineering Design. 42(2): 69-77. doi: 10.1243/03093247JSA237.
[30] Garg, M., Deepak, D. and Gupta, V.K. 2014. Fe modeling of creep in linear and non-linear FGM cylinder under internal pressure. Multidiscipline Modeling in Materials and Structures. 10(1): 94-105. doi: 10.1108/MMMS-10-2012-0016.