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Creep Buckling and Post-Buckling Analyses of a Viscoelastic FGM Cylindrical Shell with Initial Deflection Subjected to a Uniform In-Plane Load

Published online by Cambridge University Press:  08 May 2012

H.-L. Dai*
Affiliation:
State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha, 410082, China
H.-Y. Zheng
Affiliation:
Department of Engineering Mechanics, College of Mechanical & Vehicle Engineering, Hunan University, Changsha, 410082, China
*
*Corresponding author ([email protected])
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Abstract

In this paper, based on the viscoelastic theory, the creep buckling and post-buckling behaviors of a viscoelastic functionally graded material (FGM) cylindrical shell with initial deflection subjected to a uniform in-plane load are investigated. The material properties of the viscoelastic FGM cylindrical shell are assumed to vary through the structural thickness according to a power law distribution of the volume fraction of constituent materials and Poisson's ratio is assumed as a constant. Considering the transverse shear deformation and geometric nonlinearity, the constitutive relation of the viscoelastic FGM cylindrical shell is established. By means of the Newton-Newmark method and the Boltzmann superposition principle, the problem for the creep buckling and post-buckling of the FGM cylindrical shell is solved. The numerical results reveal that the transverse shear deformation, volume fraction and geometric parameters have significant effects on the creep buckling and post-buckling of the viscoelastic FGM cylindrical shell.

Type
Articles
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2012

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References

REFERENCES

1. Koizumi, M., “The Concept of FGM,” Ceramic Transationa, 34, pp. 310 (1993).Google Scholar
2. Libove, C., “Creep Buckling of Columns,” Journal of Aerospace Science, 19, pp. 459467 (1952).Google Scholar
3. Huang, N. C., “Nonlinear Creep Buckling of Some Simple Structures,” Journal of Applied Mechanics, 34, pp. 651658 (1967).CrossRefGoogle Scholar
4. Hoff, N. J., “A Survey of the Theories of Creep Buckling,” Proceedings of 3rd US National Congress on Applied Mechanics, Providence (RI), pp. 2949 (1958).Google Scholar
5. Boyle, J. T. and Spence, J., Stress Analysis for Creep. London: Butterworth (1983).Google Scholar
6. Gerdeen, J. C. and Sazawal, V. K., “A Review of Creep Instability in High Temperature Piping and Pressure Vessels,” Tech Rep Bulletin No 195, Welding Research Council (1974).Google Scholar
7. Obrehct, H., “Creep Buckling and Post-Buckling of Circular Cylindrical Shell Under Axial Compression,” International Journal of Solids and Structures, 13, pp. 337–335 (1977).Google Scholar
8. Miyazaki, N., Hagihara, S. and Munakata, T., “Bifurcation Creep Buckling Analysis of Circular Shell Under Axial Compression,” International Journal of Pressure Vessel and Piping, 52, pp. 110 (1992).Google Scholar
9. Sun, Y. X., Ma, H. Z., Gao, Z. T. and Zhang, S. Y., “Creep Buckling of Cross-Ply Laminated Plates,” Acta Mechanica Solida Sinica, 19, pp. 347354 (1998). (In Chinese)Google Scholar
10. Wang, Y. J. and Wang, Z. M., “Creep Buckling of Cross-Ply Symmetric Laminated Cylindrical Panels,” Applied Mathematics and Mechanics, 14, pp. 295300 (1993).Google Scholar
11. Yang, T. Q., Zhang, X. C. and Gang, Q. G., “Temporal Characteristics of Loading for Creep Buckling of Plates,” Acta Mechanica Sinica, 32, pp. 319325 (2000). (In Chinese)Google Scholar
12. Paulino, G. H. and Jin, Z. H., “Viscoelastic Functionally Graded Materials Subjected to Antiplane Shear Fracture,” Journal of Applied Mechanics, 68: pp. 284–93 (2001).Google Scholar
13. Paulino, G. H. and Jin, Z. H., “A Crack in a Viscoleastic Functionally Graded Material Layer Embedded Between Two Dissimilar Homogeneous Viscoelastic Layers-Antiplane Shear Analysis,” International Journal of Fracture, 111, pp. 282303 (2001).CrossRefGoogle Scholar
14. Jin, Z. H. and Paulino, G. H., “A Viscoelastic Functionally Graded Strip Containing a Crack Subjected to In-Plane Loading,” Engineering Fracture Mechanics, 69, pp. 17691790 (2002).Google Scholar
15. Huang, N. N., “Viscoelastic Buckling and Post-Buckling of Circular Cylindrical Laminated Shells in Hygrothermal Environment,” Journal of Marine Science Technology, 2, pp. 916 (1994).CrossRefGoogle Scholar
16. Peng, F., Xiang, H. and Fu, Y. M., “Bifurcation Creep Buckling of Viscoelastic Laminated Circular Cylindrical Shells,” Chinese Journal of Theoretical and Applied Mechanics, 38, pp. 792798 (2006).Google Scholar
17. Shen, H. S., “Thermal Postbuckling Behavior of Functionally Graded Cylindrical Shells with Temperature-Dependent Properties,” International Journal of Solids and Structures, 41, pp. 19611974 (2004).CrossRefGoogle Scholar
18. Shen, H. S., “Thermal Postbuckling of Shear Deformable FGM Cylindrical Shells with Temperature-Dependent Properties,” Mechanics of Advanced Materials and Structures, 14, pp. 439452 (2007).Google Scholar
19. Karman, T. V. and Tsien, H. S., “The Buckling of Thin Cylindrical Shells Under Axial Compression,” Journal of Aeronautics Science, 8, p. 303 (1941).Google Scholar
20. Leitman, J. M. and Fisher, G. M. C., The Linear Theory of Viscoelasticity, Springer, Berlin (1973).Google Scholar
21. Cheng, C. J. and Zhang, N. H., “Variational Principles on Static-Dynamic Analysis of Viscoelasticity Thin Plates with Applications,” International Journal of Solids and Structures, 35, pp. 44914505 (1998).Google Scholar
22. Jose, M., Simose, M. and Isidoro, F. P., “Active Control of Adaptive Laminated Structures with Bonded Piezoelectric Sensors and Actuators,” Computers and Structures, 82, pp. 13491358 (2004).Google Scholar
23. Tschoegl, N. W., The Phenomenological Theory of Linear Viscoelastic Behavior, Springer, Berlin (1989).Google Scholar
24. Fu, Y. M., Li, P. E. and Zheng, Y. F., “Creep Postbuckling of Viscoelastic Plates with Matrix Transverse Cracks,” Acta Mechanica Sinica, 37, pp. 3239 (2005).Google Scholar
25. Liu, Y. F., Peng, F. and Fu, Y. M., “Creep Buckling with Limit Point Type for Viscoelastic Laminated Circular Cylindrical Shells Under Axial Compression,” Acta Materiae Compositae Sinica, 6, pp. 166172 (2007).Google Scholar
26. Zheng, Y. F. and Fu, Y. M., “Effect of Damage on Nonlinear Dynamic Properties oof Viscoelastic Rectangular Plates,” Applied Mathematics and Mechanics, 26, pp. 319326 (2005).Google Scholar