Hostname: page-component-8448b6f56d-xtgtn Total loading time: 0 Render date: 2024-04-24T11:00:06.946Z Has data issue: false hasContentIssue false
  • English
  • Français

Steady-State Creep Deformations and Stresses in FGM Rotating Thick Cylindrical Pressure Vessels

Published online by Cambridge University Press:  21 October 2014

M. Z. Nejad ,
Z. Hoseini ,
A. Niknejad  and
M. Ghannad
M. Z. Nejad*
Affiliation:
Mechanical Engineering Department, Yasouj University, Yasouj, Iran
Z. Hoseini
Affiliation:
Mechanical Engineering Department, Yasouj University, Yasouj, Iran
A. Niknejad
Affiliation:
Mechanical Engineering Department, Yasouj University, Yasouj, Iran
M. Ghannad
Affiliation:
Mechanical Engineering Faculty, Shahrood University of Technology, Shahrood, Iran
*
* Corresponding author (m.zamani.n@gmail.com; m_zamani@yu.ac.ir
Get access

Abstract

In the present study, a closed-form analytical solution for the steady-state creep stresses of rotating thick cylindrical pressure vessels made of functionally graded materials (FGMs) is carried out. Norton's law governs the creep response of the material. Exact solutions for stresses and strain rate are obtained under the plane strain condition. How different material parameters involved in Norton's law affect radial and circumferential stresses together with the equivalent strain rate in rotating thick-walled cylindrical vessels under internal pressure is investigated. The result obtained shows that the property of FGMs has a significant influence on the equivalent creep strain rate and stresses distributions along the radial direction.

Keywords

CreepPressure vesselCylindricalRotatingFunctionally graded material (FGM)
Type
Research Article
Information
Journal of Mechanics , Volume 31 , Issue 1 , February 2015 , pp. 1 - 6
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2014 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Dai, H.-L. and Zheng, H.-Y., “Creep Buckling and Post-Buckling Analyses of a Viscoelastic FGM Cylindrical Shell with Initial Deflection Subjected to a Uniform In-Plane Load,” Journal of Mechanics, 28, pp. 391–399 (2012).Google Scholar
2.Xie, H., Dai, H.-L. and Rao, Y.-N., “Thermoelastic Dynamic Behaviors of a FGM Hollow Cylinder Under Non-Axisymmetric Thermo-Mechanical Loads,” Journal of Mechanics, 29, pp. 109–120 (2013).CrossRefGoogle Scholar
3.Yamanouchi, M., Koizumi, M., Hirai, T. and Shiota, I., “The Creep of Thick Walled Tube Under Internal Pressure,” Proceedings of the First International Symposium on Functionally Gradient Materials, Japan (1990).Google Scholar
4.Koizumi, M., “The Concept of FGM. Ceramic Transactions, Functionally Gradient Materials,” American Ceramic Society, 34, pp. 3–10 (1993).Google Scholar
5.Weir, C. D., “The Creep of Thick Walled Tube Under Internal Pressure,” Journal of Applied Mechanics, 24, pp. 464–466 (1957).Google Scholar
6.Rimrott, F. P. J. and Luke, J. R., “Large Strain Creep of Rotating Cylinders,” ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik, 41, pp. 485–500 (1961).Google Scholar
7.Bhatnagar, N. S. and Gupta, S. K., “Analysis of Thick-Walled Orthotopic Cylinder in the Theory of Creep,” Journal of the Physical Society of Japan, 27, pp. 1655–1661 (1969).Google Scholar
8.Sim, R. G. and Penny, R. K., “Plane Strain Creep Behaviour of Thick-Walled Cylinders,” International Journal of Mechanical Sciences, 13, pp. 987–1009 (1971).Google Scholar
9.Bhatnagar, N. S., Kulkarni, P. S. and Arya, V. K., “Creep Analysis of an Internally Pressurized Orthotropic Rotating Cylinder,” Nuclear Engineering and Design, 83, pp. 379–388 (1984).CrossRefGoogle Scholar
10.Bhatnagar, N. S., Kulkarni, P. S. and Arya, V. K., “Creep Analysis of Orthotropic Rotating Cylinders Considering Finite Strains,” International Journal of Non-Linear Mechanics, 21, pp. 61–71 (1986).Google Scholar
11.Loghman, A. and Wahab, M. A., “Creep Damage Simulation of Thick-Walled Tubes Using the Theta Projection Concept,” International Journal of Pressure Vessels and Piping, 67, pp. 105–111 (1996).CrossRefGoogle Scholar
12.Gupta, S. K. and Pathak, S., “Thermo Creep Transition in a Thick Walled Circular Cylinder Under Internal Pressure,” Indian Journal of Pure & Applied Mathematics, 32, pp. 237–253 (2001).Google Scholar
13.Chen, J. J., Tu, S. T., Xuan, F. Z. and Wang, Z. D., “Creep Analysis for a Functionally Graded Cylinder Subjected to Internal and External Pressure,” Journal of Strain Analysis for Engineering Design, 42, pp. 69–77 (2007).CrossRefGoogle Scholar
14.You, L. H., Ou, H. and Zheng, Z. Y., “Creep Deformations and Stresses in Thick-Walled Cylindrical Vessels of Functionally Graded Materials Subjected to Internal Pressure,” Composite Structures, 78, pp. 285–291 (2007).CrossRefGoogle Scholar
15.You, L. H. and Ou, H., “Steady-State Creep Analysis of Thick-Walled Spherical Pressure Vessels with Varying Creep Properties,” Journal of Pressure Vessel Technology-Transactions of the ASME, 130, pp. 014501–1–014501-5 (2008).CrossRefGoogle Scholar
16.Singh, T. and Gupta, V. K., “Creep Analysis of an Internally Pressurized Thick Cylinder Made of a Functionally Graded Composite,” Journal of Strain Analysis for Engineering Design, 44, pp. 583–594 (2009).Google Scholar
17.Singh, T. and Gupta, V. K., “Modeling Steady State Creep in Functionally Graded Thick Cylinder Subjected to Internal Pressure,” Journal of Composite Materials, 44, pp. 1317–1333 (2010).Google Scholar
18.Hoseini, Z., Nejad, M. Z., Niknejad, A. and Ghannad, M., “New Exact Solution for Creep Behavior of Rotating Thick-Walled Cylinders,” Journal of Basic and Applied Scientific Research, 1, pp. 1704–1708 (2011).Google Scholar
19.Mahbadi, H. and Eslami, M. R., “Cyclic Loading Behaviour of Thick Cylindrical Vessels Under Creep Deformation,” Journal of Strain Analysis for Engineering Design, 46, pp. 727–739 (2011).CrossRefGoogle Scholar
20.Singh, T. and Gupta, V. K., “Effect of Anisotropy on Steady State Creep in Functionally Graded Cylinder,” Composite Structures, 93, pp. 747–758 (2011).CrossRefGoogle Scholar
21.Nejad, M. Z., Hoseini, Z., Taghizadeh, T. and Niknejad, A., “Closed-Form Analytical Solution for Creep Stresses of Pressurized Functionally Graded Material Thick Spherical Shells,” Advanced Science Letters, 19, pp. 464–467 (2013).Google Scholar