Analytical Modeling of Shrink-Fitted FGM Thick-Walled Cylinder

Abstract:

One off the most powerful assembly technique is the shrink-fitting process.It is found in many fields such us mechanics, petroleum, military industries as well as in nuclear power plants etc. This article developed an analytical formulation of shrink-fitted Functionally Graded Material axisymmetric thick-walled cylinder based on the linear plane elasticity theory. The stresses and displacement fields in the thick cylindrical shells are calculated using the laws of linear elasticity. The resulting displacements and stresses are analyzed, and particularly the residual contact pressure and her relationship with the interference values. The results show that the variation of the FGM material composition has a clear effect on the fit pressure in the intersection area of the two fitted cylinders. The value of this pressure affects the distribution of radial and tangential stresses in the FGM cylinder walls. Subsequently, we highlighted the influence of the interference value, on the residual contact pressure which increases with the increase of the interference value. The stresses are modeled for a case study using MATLAB software. keywords. shrink-fit, FGM, Interference, residual stress, Elasticity.

• Periodical: International Journal of Engineering Research in Africa (Volume 66)
• Pages: 61-74
• DOI: https://doi.org/10.4028/p-R5wvlY
• Online since: September 2023
• Authors: Samiha Zrinej*, Noreddine Laghzale, Hakim A. Bouzid
• Keywords: Elasticity, FGM, Interference, Residual Stress, Shrink-Fit

References

[1] Yamanouchi, M., Koizumi, M., Shiota, I:Proceedings of the First International Symposium on Functionally Gradient Materials, Japan, 1990, p.273–281.

DOI: 10.1007/978-1-4615-5301-4_7

[2] M. Koizumi, "Concept of FGM," Ceramic Transactions, 1993.

[3] Jiao Zhao, Jun-Xiong Wang ,Yu, Chao, Tang, Si Qi & Yao, Jin. Influence of radial interference on torque capacity of shrink-fit camshaft , Advances in Mechanical Engineering (2019)

DOI: 10.1177/1687814018817640

[4] Kazemzadeh Azad, S., Akış, T. A Study of Shrink-Fitting for Optimal Design of Multi-Layer Composite Tubes Subjected to Internal and External Pressure. Iran J Sci Technol Trans Mech Eng 43 (Suppl 1), 451–467 (2019)

DOI: 10.1007/s40997-018-0170-0

[5] Chu, S.J, Jeong, T.K. & Jung, E.H. Effect of radial interference on torque capacity of press- and shrink-fit gears. Int.J Automot. Technol. 17, (2016) 763–768

DOI: 10.1007/s12239-016-0075-0

[6] Booker, J. D, Truman, C. E. Measuring the coefficient of friction for use in shrink-fit calculations. Experimental Techniques, 35 (2011) 7- 13

DOI: 10.1111/J.1747-1567.2009.00593.X

[7] H. Jahed, B. Farshi, Morvarid Karimi. Optimum autofrettage and shrink-fit combination in multi-layer cylinders. Journal of Pressure Vessel Technology-transactions of The Asme , 128 (2006) 196 -200

DOI: 10.1115/1.2172957

[8] Gexia, Yuan, Liu, Wang, Zhongrnin,Hongzhao, Zhongmin. Optimum design for shrink-fit multi-layer vessels under ultrahigh pressure using different materials. Chinese Journal of Mechanical Engineering , 23 (2010) 582-589

DOI: 10.3901/CJME.2010.05.582

[9] Sharifi, M. Arghavani, J. Hematiyan, M. R. An analytical solution for optimum design of shrink-fit multi-layer compound cylinders. International Journal of Applied Mechanics, 4 (2012)

DOI: 10.1142/S1758825112500433

[10] Ruys, Andrew J.Sutton, Brett A. Metal-ceramic functionally graded materials (FGMs), Elsevier Series on Advanced Ceramic Materials, (2021) 327-359

DOI: 10.1016/B978-0-08-102869-8.00009-4

[11] Xiang Hongjun, Shi Zhifei, Zhang Taotao. Elastic analyses of heterogeneous hollow cylinders, 33(2006) 681-691.

DOI: 10.1016/j.mechrescom.2006.01.005

[12] Yıldırım, Vebil. Exact Thermal Analysis of Functionally Graded Cylindrical and Spherical Vessels. International Journal Of Engineering & Applied Sciences (IJEAS), 9 (2017) 112- 112

DOI: 10.24107/IJEAS.318459

[13] Pourasghar, A, Moradi-Dastjerdi, R, Yas. M. H, Ghorbanpour Arani, A, Kamarian, S. Three‐dimensional analysis of carbon nanotube‐reinforced cylindrical shells with temperature‐dependent properties under thermal environment. Polymer Composites, 39 (2018) 1161-1171. doi:1161-71

DOI: 10.1002/PC.24046

[14] Sondhi, Lakshman., Kumar, Ritesh., Sanyal, Shubhashis.& Bhowmick, Shubhankar, S. Limit Elastic Yield Pressure of Internally and Externally Pressurized Functionally Graded Thick Cylinder. Materials Today: Proceedings, 18 (2019) 5507–5514

DOI: 10.1016/J.MATPR.2019.07.582

[15] Mognhod Bezzie., Yihunie., & Engida Woldemichael, Dereje. Investigating the graded-index influence on elastic responses of axisymmetric pressurized and heated thick-walled functionally graded material of cylindrical vessel. Forces in Mechanics, 7 (2022). doi: 10.1016/j.finmec. 2022.100099

DOI: 10.1016/j.finmec.2022.100099

[16] Ding, Kewei.,Tang, Limin. Exact solution for axisymmetric thick laminated shells. Composite Structures, 46 (1999) 125-129

DOI: 10.1016/S0263-8223(99)00047-1

[17] Horgan, C. O., Chan, A. M. Pressurized hollow cylinder or disk problem for functionally graded isotropic linearly elastic materials. Journal of Elasticity. 55(1999) 43–59

[18] Leggett, D.M.A. Mathematical Theory of Elasticity. I. S. Sokolnikoff. Second Edition. McGraw-Hill, New York, 1956. 476 p.73 diagrams. $9.50. 476 p.73 diagrams. $9.50. The Aeronautical Journal, 60(1956), 629- 629.

DOI: 10.1017/S0001924000126375