Abstract
Axisymmetric pressure vessels have wide application in industrial engineering. They are often subjected to combined mechanical and thermal loads. In order to improve their pressure-carrying capacity, especially those with a cylindrical shape, some basic techniques are used such as increasing wall thickness, autofrettage and compound cylinders. This paper presents a basic model that can be used to study the effects of temperature and internal pressure on the stress distributions and displacement fields in compound cylinders. The analytical model is based on the thick walled cylinders theory. The results of the developed analytical approach are compared and validated to a finite element axisymmetric model.
Similar content being viewed by others
References
E. David, An overview of advanced materials for hydrogen storage, Journal of Material Processing Technology, 162-163 (2005) 169–177.
W. R. D. Wilson and W. J. Skelton, Design of bi-metallic high pressure cylinders, Proc. Inst. Mech. Eng., 182 (3) (1967) 1–10.
K. Vedeld, H. Osnes and O. Fyrileiv, Analytical expressions for stress distributions in lined pipes: Axial stress and contact pressure interaction, Mar. Struct., 26 (1) 1-26.
J. Kloewer, R. Behrens and J. Lettner, Clad plates and pipes in oil and gas production: Applications-fabrication-welding, Proceedings of Corrosion, April 2002, Denver, CO, USA (2002).
G. Lamé and B. Clapeyron, Mémoire sur l’équilibre intérieur des corps solides homogènes, J. Reine Angew. Math. (Crelle’s J.), 7, 145-169.
E. S. Focke, Reeling of tight fit pipe, Ph.D. Thesis, Delft University of Technology (2007).
G. H. Majzoobi, G. H. Farrahi, M. K. Pipelzadeh and A. Akbari, Experimental and finite element prediction of bursting pressure in compound cylinders, International Journal of Pressure Vessels and Piping, 81 (2004) 889–896.
G. H. Majzoobi and A. Ghomi, Optimisation of compound pressure cylinders, Journal of Achievements in Materials and Manufacturing Engineering, 15 (1-2) (2006).
Z. Shi, T. Zhang and H. Xiang, Exact solutions of heterogeneous elastic hollow cylinders, Composite Structures, 79 (2007) 140–147.
Q. Zhang, Z. W. Wang, C. Y. Tang, D. P. Hu, P. Q. Liu and L. Z. Xia, Analytical solution of the thermo-mechanical stresses in a multilayered composite pressure vessel considering the influence of the closed ends, International Journal of Pressure Vessels and Piping, 98 (2012) 102–110.
A. H. Ghosn and M. Sabbaghian, Quasi-static coupled problems of thermoelasticity for cylindrical regions, Journal of Thermal Stresses, 5 (1982) 299–313.
C. I. Hung, C. K. Chen and Z. Y. Lee, Thermoelastic transient response of multilayered hollow cylinder with initial interface pressure, Journal of Thermal Stresses, 24 (2001) 987–1006.
Z. Y. Lee, Generalized coupled transient thermoelastic problem of multilayered hollow cylinder with hybrid boundary conditions, International Communications in Heat and Mass Transfer, 33 (2006) 518–528.
M. Jabbari, S. Sohrabpour and M. R. Eslami, Mechanical and thermal stresses in a functionally graded hollow cylinder due to radially symmetric loads, Int. J. Pressure Vessels Pip, 79 (2002) 493–497.
A. Loghman and H. Parsa, Exact solution for magnetothermo-elastic behaviour of double-walled cylinder made of an inner FGM and an outer homogeneous layer, International Journal of Mechanical Sciences, 88 (2014) 93–99.
K. Vedeld, H. A. Sollund and J. Hellesland, Closed analytical expressions for stress distributions in two-layer cylinders and their application to offshore lined and clad pipes, Journal of Offshore Mechanics and Arctic Engineering, 137 (2015) 021702–1.
H. A. Sollund, K. Vedeld and J. Hellesland, Efficient analytical solution for heated and pressurized multi-layer cylindes, Ocean Engineering, 92 (2014) 285–295.
A. C. Ugural and S. K. Fenster, Advanced mechanics of materials and elasticity, 5th Edition, Pearson education, USA (2012).
Ansys. Standard Manuel. Version 15.
H. H. Lee, J. H. Yoon, J. S. Park and Y. M. Yi, A study of failure characteristic of spherical pressure vessels, Journal of Material Processing Technology, 164-165 (2005) 882–888.
H. Jahed, B. Farshi and M. Karimi, Optimum autofrettage and shrink-fit combination in multi-layer cylinders, ASME J. Pressure Vessels Technology, 128 (2006) 196–200.
Author information
Authors and Affiliations
Corresponding author
Additional information
Recommended by Associate Editor Kyeongsik Woo
Kaoutar Bahoum is currently a Ph.D. student in the Industrial Engineering Laboratory in Sultan Moulay Sliman University, Faculty of Sciences and Technology in Beni Mellal, Morocco. She received her engineering degree in industrial and logistics engineering from National School of Applied Sciences, Cadi Ayyad University in Marrakesh, Morocco. Her research is focused on mechanical engineering, structural mechanics and material sciences.
Rights and permissions
About this article
Cite this article
Bahoum, K., Diany, M. & Mabrouki, M. Stress analysis of compound cylinders subjected to thermo-mechanical loads. J Mech Sci Technol 31, 1805–1811 (2017). https://doi.org/10.1007/s12206-017-0328-5
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12206-017-0328-5