Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 30135
Modeling of Steady State Creep in Thick-Walled Cylinders under Internal Pressure

Authors: Tejeet Singh, Ishavneet Singh

Abstract:

The present study focused on carrying out the creep analysis in an isotropic thick-walled composite cylindrical pressure vessel composed of aluminum matrix reinforced with silicon-carbide in particulate form. The creep behavior of the composite material has been described by the threshold stress based creep law. The values of stress exponent appearing in the creep law were selected as 3, 5 and 8. The constitutive equations were developed using well known von-Mises yield criteria. Models were developed to find out the distributions of creep stress and strain rate in thick-walled composite cylindrical pressure vessels under internal pressure. In order to obtain the stress distributions in the cylinder, the equilibrium equation of the continuum mechanics and the constitutive equations are solved together. It was observed that the radial stress, tangential stress and axial stress increases along with the radial distance. The cross-over was also obtained almost at the middle region of cylindrical vessel for tangential and axial stress for different values of stress exponent. The strain rates were also decreasing in nature along the entire radius.

Keywords: Steady state creep, composite, cylinder, pressure.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1124415

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1138

References:


[1] Dieter, G.E., (1988), Mechanical metallurgy, London: McGraw-Hill.
[2] Weir, C.D., (1957) The creep of thick-walled tube under internal pressure, J. Appl. Mech., 24: pp. 464–466.
[3] Davis, E.A., and Connelly, F.M., (1959), Stress distribution and plastic deformation in rotating cylinders of strain-hardening material, J. Appl. Mech., 26(1): pp. 25–30.
[4] Rimrott, F.P.J., (1959), Creep of thick-walled tubes under internal pressure considering large strains, Journal of Appl. Mech., 26: pp. 271–274.
[5] King, R.H., Mackie, W.W., (1967) Creep of thick-walled cylinders, ASME J. Basic Engng., 89(4): pp. 877–884.
[6] Robotnov, Y.N., (1969), Creep problems in structural members, Translated from Russion by Transcripta service Ltd., London, North-Holland Publishing Co. Amsterdam.
[7] Bhatnagar, N.S., Kulkarni, Pradnya, Arya, V.K., (1986), Analysis of an orthotropic thick-walled cylinder under primary creep conditions, International Journal of Pressure Vessels and Piping, 23(3): pp. 165-185.
[8] Bhatnagar, N.S., and Gupta, S.K., (1969), Analysis of thick-walled orthotropic cylinder in the theory of creep, J. of Physical Soc. of Japan, 27(6): pp. 1655–1662.
[9] Kaw, A. K., (2006), Mechanics of composite materials, CRC press, Taylor &Francis group, USA.
[10] Srivatson, T.S., Sudarshan, T.S., and Lavernia, E.J., (1995), Processing of discontinous-reinforced metal matrix composites by rapid solidification, Progress in Mater. Sci., 39: pp. 317–409.
[11] Singh, Tejeet, and Gupta, V.K., (2008), Effect of material parameters on steady state creep in a thick composite cylinder subjected to internal pressure, The Journal of Engng. Research Vol. 6, No. 2 (2009): pp. 20-32.
[12] You, L.H., Ou, H., and Zheng, Z.Y., (2005), Creep deformations and stresses in thick- walled cylindrical vessels of functionally graded materials subjected to internal pressure, Composites Structures, 78(2007): pp. 285-295.
[13] Singh, Tejeet, and Gupta, V.K., (2010), Modeling steady state creep in functionally graded thick cylinder subjected to internal pressure, Journal of Composite Mater. June 2010 vol. 44 no. 11: pp. 1317-1333.
[14] Singh, Tejeet, and Gupta, V.K., (2014), Analysis of steady state creep in whisker reinforced functionally graded thick cylinder subjected to internal pressure by considering residual stress, Mechanics of Advanced Materials and Structures, Taylor and Francis Ltd., Volume 21, Number 5, 28 May 2014,: pp. 384-392(9).
[15] Jamian, Saifulnizan., Sato, Hisashi., Hideaki, Tsukamoto., and Watanabe, Yoshimi., (2012), Creep analysis of functionally graded material thick-walled cylinder, International Conference on Mechanical and Manufacturing.
[16] Pandey, A.B., Mishra, R.S. and Mahajan, Y.R., 1992, "Steady State Creep Behavior of Silicon Carbide Particulate Reinforced Aluminium Composites, "Acta Metall Mater, Vol. 40(8), pp. 2045-2052.
[17] Johnson, A.E., Henderson, J., and Khan, B., (1961), Behavior of metallic thick-walled cylindrical vessels or tubes subjected to high internal or external pressures at elevated temperatures, Proc. Instn. Mech. Engrs., Vol. 175(25), pp. 1043-1069.