Hostname: page-component-848d4c4894-mwx4w Total loading time: 0 Render date: 2024-06-18T03:57:13.043Z Has data issue: false hasContentIssue false
  • English
  • Français

Thermoelastic Dynamic Behaviors of a FGM Hollow Cylinder Under Non-Axisymmetric Thermo-Mechanical Loads

Published online by Cambridge University Press:  16 October 2012

H. Xie ,
H.-L. Dai  and
Y.-N. Rao
H. Xie
Affiliation:
State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha, 410082, China
H.-L. Dai*
Affiliation:
State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University Changsha, 410082, China Department of Engineering Mechanics College of Mechanical & Vehicle Engineering, Hunan University, Changsha, 410082, China
Y.-N. Rao
Affiliation:
State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha, 410082, China
*
*Corresponding author (hldai520@sina.com)
Get access

Abstract

This paper is concerned with two-dimensional (r, θ) thermoelastic dynamic responses of a long functionally graded hollow cylinder subjected to asysmmetrical thermal and mechanical loads. The material properties, except the Poisson's ratio, are assumed to be temperature independent and vary exponentially and continuously in the radial direction. By means of finite difference method and Newmark method, the motion governing equations of the long FGM hollow cylinder are solved. Comparisons between this paper's results and the corresponding analytical results validate the proposed solution. In addition, the effects of the volume fraction, temperature boundary conditions on the hollow cylinder's deformations and stresses distributions are examined, and many other valuable thermoelastic dynamic characteristics are revealed.

Keywords

Thermoelastic dynamic behaviorNon-axisymmetricFunctionally graded materialHollow cylinderFinite difference method
Type
Articles
Information
Journal of Mechanics , Volume 29 , Issue 1 , March 2013 , pp. 109 - 120
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2012

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

REFERENCES

1. Suresh, S. and Mortensen, A., Fundamentals of Functionally Graded Materials, IOM Communications Ltd. London (1998).Google Scholar
2. Aboudi, J., Pindera, M. J. and Arnold, S. M., “Thermo-inelastic Response of Functionally Graded Composites”, International Journal of Solids and Structures, 32, pp. 1675–1710 (1995).Google Scholar
3. Wetherhold, R. C. and Wang, S. S., “The Use of Functionally Graded Materials to Eliminate or Control Thermal Deformation”, Composites Science and Technology, 56, pp. 1099–1104 (1996).CrossRefGoogle Scholar
4. Obata, Y. and Noda, N., “Steady Thermal Stresses in a Hollow Circular Cylinder and a Hollow Sphere of a Functionally Gradient Material”, Journal of Thermal Stresses, 17, pp. 471–488 (1994).Google Scholar
5. Zimmerman, R. W. and Lutz, M. P., “Thermal Stress and Thermal Expansion in a Uniformly Heated Functionally Graded Cylinder”, Journal of Thermal Stresses, 22, pp. 177–188 (1999).Google Scholar
6. Jabbari, M., Sohrabpour, S. and Eslami, M. R., “Mechanical and Thermal Stresses in a Functionally Graded Hollow Cylinder Due to Radially Symmetric Loads”, International Journal of Pressure Vessels and Piping, 79, pp. 493–497 (2002).CrossRefGoogle Scholar
7. Shao, Z. S., “Mechanical and Thermal Stresses of a Functionally Graded Circular Hollow Cylinder with finite Length”, International Journal of Pressure Vessels and Piping, 82, pp. 155–163 (2005).Google Scholar
8. Shao, Z. S. and Ma, G. W., “Thermo-Mechanical Stresses in Functionally Graded Circular Hollow Cylinder with Linearly Increasing Boundary Temperature”, Composite Structures, 83, pp. 259–265 (2008).Google Scholar
9. Dai, H. L. and Fu, Y. M., “Magnetothermoelastic Interactions in Hollow Structures of Functionally Graded Material Subjected to Mechanical Loads”, International Journal of Pressure Vessels and Piping, 84, pp. 132–138 (2007).CrossRefGoogle Scholar
10. Dai, H. L., Yang, L. and Zheng, H. Y., “Magnetothermoelastic Analysis of Functionally Graded Hollow Spherical Structures Under Thermal and Mechanical Loads”, Solid State Sciences, 13, pp. 372–378 (2011).Google Scholar
11. Jabbari, M., Sohrabpour, S. and Eslami, M. R., “General Solution for Mechanical and Thermal Stresses in a Functionally Graded Hollow Cylinder Due to Nonaxisymmetric Steady-State Loads”, Journal of Applied Mechanics, 70, pp. 111–118 (2003).Google Scholar
12. Liew, K. M., Kitipornchai, S., Zhang, X. Z. and Lim, C. W., “Analysis of the Thermal Stress Behaviors of Functionally Graded Hollow Circular Cylinders”, International Journal of Solids and Structures, 40, pp. 2355–2380 (2003).Google Scholar
13. Shao, Z. S., Ang, K. K., Reddy, J. N. and Wang, T. J., “Nonaxisymmetric Thermomechanical Analysis of Functionally Graded Hollow Cylinders”, Journal of Thermal Stresses, 31, pp. 515–536 (2008).CrossRefGoogle Scholar
14. Tokovyy, Y. V. and Ma, C. C., “Analysis of 2D Non-Axisymmetric Elasticity and Thermoelasticity Problems for Radially Inhomogeneous Hollow Cylinders”, Journal of Engineering Mathematics, 61, pp. 171–184 (2008).CrossRefGoogle Scholar
15. Poultangari, R., Jabbari, M. and Eslami, M. R., “Functionally Graded Hollow Spheres Under Non-Axisymmetric Thermo-Mechanical Loads”, International Journal of Pressure Vessels and Piping, 85, pp. 295–305 (2008).Google Scholar
16. Jabbari, M., Bahtui, A. and Eslami, M. R., “Axisymmetric Mechanical and Thermal Stresses in Thick Short Length FGM Cylinders”, International Journal of Pressure Vessels and Piping, 86, pp. 296–306 (2009).CrossRefGoogle Scholar
17. Ying, J. and Wang, H. M., “Axisymmetric Thermoelastic Analysis in a finite Hollow Cylinder Due to Nonuniform Thermal Shock”, International Journal of Pressure Vessels and Piping, 87, pp. 714–720 (2010).Google Scholar
18. Peng, X. L. and Li, X. F., “Thermoelastic Analysis of a Cylindrical Vessel of Functionally Graded Materials”, Inernational Journal of Pressure Vessels and Piping, 87, pp. 203–210 (2010).Google Scholar
19. Miyamoto, Y., Functional Graded Materials: Design, Processing and Applications, MA: Kluwer, Academic Publishers Norwell (1999).Google Scholar
20. Thomas, J. W., Numerical Partial Differential Equations, Third Ed., Chapter 1, Springer-Verlag, New York (1995).Google Scholar
21. Fu, Y. M., Mao, Y. Q. and Tian, Y. P., “Damage Analysis and Dynamic Response of Elasto-Plastic Laminated Composite Shallow Spherical Shell Under Low Velocity Impact”, International Journal of Solids and Structures, 47, pp. 126–137 (2010).Google Scholar
22. Shakeri, M., Akhlaghi, M. and Hoseini, S. M., “Vibration and Radial Wave Propagation Velocity in Functionally Graded Thick Hollow Cylinder”, Composite Structures, 76, pp. 174–181 (2006).CrossRefGoogle Scholar
23. Timoshenko, S. and Goodier, J. N., Theory of Elasticity, Second Ed., Chapter 4, McGraw-Hill, New York (1951).Google Scholar
24. Shariyat, M., Lavasani, S. M. H. and Khaghani, M., “Nonlinear Transient Thermal Stress and Elastic Wave Propagation Analyses of Thick Temperature-Dependent FGM Cylinders, Using a Second-Order Point-Collocation Method”, Applied Mathematical Modelling, 34, pp. 898–918 (2010).CrossRefGoogle Scholar
25. Shen, H. S. and Noda, N., “Postbuckling of FGM Cylindrical Shells Under Combined Axial and Radial Mechanical Loads in Thermal Environments”, International Journal of Solids and Structures, 42, pp. 4641–4662 (2005).CrossRefGoogle Scholar
26. Wooa, J., Meguida, S. A. and Stranart, J. C., “Thermomechanical Postbucklinganalysis of Moderately Thick Functionally Graded Plates and Shallow Shells”, International Journal of Mechanical Sciences, 47, pp. 1147–1171 (2005).Google Scholar