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Thermal Buckling Analysis of Circular FGP with Actuator/Actuator Piezoelectric Layers Based on Neutral Plane Method

Published online by Cambridge University Press:  16 October 2012

M. M. Najafizadeh ,
M. Malmorad ,
A. Sharifi  and
A. Joodaky
M. M. Najafizadeh*
Affiliation:
Department of Mechanical Engineering, Islamic Azad University, Arak Branch Arak, I.R. Iran
M. Malmorad
Affiliation:
Department of Mechanical Engineering, Islamic Azad University, Harsin Branch Harsin, I.R. Iran
A. Sharifi
Affiliation:
Department of Mechanical Engineering, Islamic Azad University, Arak Branch, Arak, I.R. Iran
A. Joodaky
Affiliation:
Young Researchers Club, Islamic Azad University, Arak Branch, Arak, I.R. Iran
*
*Corresponding author (m-najafizadeh@iau-arak.ac.ir)
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Abstract

In this research, thermal buckling analysis of circular functionally graded plates with Actuator/Actuator piezoelectric layers (FGPs) is studied based on neutral plane, classical and first order shear deformation plate theories. Mechanical properties of the plate are considered as those of Reddy Model. Plate is assumed to be under thermal loading. Nonlinear temperature rises through the thickness and boundary conditions are considered clamped. Equilibrium and stability equations have been derived using calculus of variations and application of Euler equations. Finally, critical buckling temperature changes are studied based on the mentioned theories for a sample plate. An appropriate agreement is seen among the present results and the results of other researches.

Keywords

Thermal bucklingPiezoelectric layersCircular plateFGM
Type
Articles
Information
Journal of Mechanics , Volume 29 , Issue 1 , March 2013 , pp. 157 - 167
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2012

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References

REFERENCES

1. Koizumi, M., Niino, M. and Miyamoto, Y., “FGM Research Programs in Japan-From Structural to Functional Uses”, Functionally Graded Materials, 1996, pp. 1–8 (1997).Google Scholar
2. Samsam, B., Shariat, A. and Eslami, M. R., “Buckling of Thick Functionally Graded Plates Under Mechanical and Thermal Loads”, Composite Structurs, 78, pp 433–439 (2007).Google Scholar
3. Zhong, H. and Gu, C., “Buckling of Symmetrical Cross-Ply Composite Rectangular Plates Under a Linearly Varying In-Plane Load”, Composite Structures, 80, pp. 42–48 (2007).Google Scholar
4. Batra, R. C., and Wei, Z., “Dynamic Buckling of a Thin Thermoviscoplastic Rectangular Plate”, Thin-Walled Structures, 43, pp. 273–290 ( 2005).Google Scholar
5. Eslami, M. R., Mossavarali, A. G. and Saheli, Peydaye, “Thermoelastic Buckling of Isotropic and Orthotropic Plates with Imperfections”, Journal of Thermal Stresses, 23, pp. 853–872 ( 2000).Google Scholar
6. Najafizadeh, M. M. and Eslami, M. R., “First-Order-Theory-Based Thermoelastic Stability of Functionally Graded Material Circular Plates”, AIAA Journal, 40, pp. 1444–1450 ( 2002).Google Scholar
7. Najafizadeh, M. M. and Eslami, M. R., “Buckling Analysis of Circular Plates of Functionally Graded Materials Under Uniform Radial compression”, International Journal of Mechanical Science, 44, pp. 2479–2493 (2002).Google Scholar
8. Javaheri, R. and Eslami, M. R., “Thermal Bucking of Functionally Graded Plates”, AIAA Journal, 40, pp. 162–169 (2002).Google Scholar
9. Javaheri, R. and Eslami, M. R., “Bucking of Functionally Graded Plates Under In—plane Compressive Loading”, ZAMM-Journal of Applied Mathematics, 82, pp. 277–283 ( 2002).Google Scholar
10. Javaheri, R. and Eslami, M. R., “Thermal Bucking of Functionally Graded Plates Based on Higher Order Theory”, Journal of thermal Stresses, 25, pp. 603–625 (2002).Google Scholar
11. Najafizadeh, M. M. and Heydari, H. R., “Thermal Buckling of Functionally Graded Circular Plates Based on Higher Order Shear Deformation Plate Theory”, European Journal of Mechanics-A/Solids, 23, pp. 1085–1100 (2004).Google Scholar
12. Najafizadeh, M. M. and Heydari, H. R., “An Exact Solution for Buckling of Functionally Graded Circular Plates Based on Higher Order Shear Deformation Plates Theory Under Uniform Radial Compression”, International Journal of Mechanical Sciences, 50, pp. 603–612 ( 2003).Google Scholar
13. Ma, L. S. and Wang, T. J., “Nonlinear Bending and Post-buckling of a Functionally Graded Circular Plates Under Mechanical and Thermal Loading”, International Journal of Solids and Structures, 40, pp. 3311–3330 (2003).CrossRefGoogle Scholar
14. Tiersten, H. F., Linear Piezoelctric Plate Vibration, Plenum Press, Newyork (1969).Google Scholar
15. Reddy, J. N. and Phan, N. D., “Stability and Vibration of Isotropic, Orthotropic and Laminated Plates According to a Higher-Order Shear Deformation Theory”, Journal of Sound and Vibration, 98, pp. 157–170 (1985).Google Scholar
16. Aldraihem, O. J. and Khdeir, A. A., “Exact Deflection Solutions of Beams with Shear Piezoelectric Actuators”, International Journal of Solids and Structures, 40, pp. 1–12 ( 2003).CrossRefGoogle Scholar
17. Wang, Z., Chen, S. H. and Han, W., “The Static Shape Control for Intelligent Structures”, Journal of Finite Element in Analysis and Design, 26, pp. 303–314 (1997).Google Scholar
18. Robbins, D. H. and Reddy, J. N., “Analysis of a Piezoelectrically Actuated Beams Using a Layer-Wise Displacement Theory”, Computers & Structures, 41, pp. 265–279 ( 1991).CrossRefGoogle Scholar
19. Morimoto, T., Tanigawa, Y. and Kawamura, R., “Thermal Buckling of Functionally Graded Rectangular Plates Subjected to Partial Heating”, International Journal of Mechanical Sciences, 48, pp. 926–937 (2006).CrossRefGoogle Scholar
20. Zhang, D.-G. and Zhou, Y.-H., “A Theoretical Analysis of FGM Thin Plates Based on Physical Neutral Surface”, Computational Materials Science, 44, pp. 716–720 (2008).Google Scholar
21. Lien, W. C., Chung, Y. L. and Ching, C. W., “Dynamic Stability Analysis and Control of a Composite Beam with Piezoelectric Layers”, Composite Structures, 56, pp. 97–109 (1999).Google Scholar
22. Halliday, H., Resnick, R. and Walker, J., Fundamentals of Physics, Sixth, Extended Ed., Wiley, New York (2000)Google Scholar
23. Brush, D. O. and Almorth., B. O., Buckling of Bars-Plate and Shells, McGraw Hill, New York (1975).Google Scholar
24. Meyers, C. A. and Hyer, M. W., “Thermal Buckling and Postbuckling of Symmetrically Laminated Composite Plates”, Journal of Thermal Stresses, 14, pp. 519–540 (1999).Google Scholar