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Transient Response of Magnetostrictive Functionally Graded Material Square Plates Under Rapid Heating

Published online by Cambridge University Press:  16 October 2012

C. C. Hong*
Affiliation:
Department of Mechanical Engineering, Hsiuping University of Science and Technology, Taichung, Taiwan 412, R.O.C.
*
*Corresponding author ([email protected])
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Abstract

We used the generalized differential quadrature (GDQ) method to compute the transient responses of thermal stresses and center deflection amplitude in the magnetostrictive functionally graded material (FGM) square plate under rapid heating acting at its lower surface. We obtained the GDQ solutions in the three-layer of magnetostrictive FGM plates subjected to four simply supported edges. We presented the transient responses of thermal stress and center deflection amplitude of magnetostrictive FGM plates with/without velocity feedback control, respectively, under the effects of the ratio of length to thickness, the power law index, the temperature of environment and the applied heat flux.

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

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References

REFERENCES

1. Praveen, G. N. and Reddy, J. N., “Nonlinear Transient Thermoelastic Analysis of Functional Graded Ceramic-Metal Plates,” International Journal of Solids and Structures, 35, pp. 44574476 (1998).CrossRefGoogle Scholar
2. Yang, J. and Shen, H. S., “Dynamic Response of Initially Stressed Functionally Graded Rectangular Thin Plates,” Composite Structures, 54, pp. 497508 (2001).CrossRefGoogle Scholar
3. He, X. Q., Ng, T. Y., Sivashanker, S. and Liew, K. M., “Active Control of FGM Plates with Integrated Piezoelectric Sensors and Actuators,” International Journal of Solids and Structures, 38, pp. 16411655 (2001).CrossRefGoogle Scholar
4. Vel, S. S. and Batra, R. C., “Three-Dimensional Analysis of Transient Thermal Stresses in Functionally Graded Plates,” International Journal of Solids and Structures, 40, pp. 71817196 (2003).Google Scholar
5. Ootao, Y. and Tanigawa, Y., “Three-Dimensional Solution for Transient Thermal Stresses of Functionally Graded Rectangular Plate Due to Nonuniform Heat Supply,” International Journal of Mechanical Sciences, 47, pp. 17691788 (2005).Google Scholar
6. Prakash, T. and Ganapathi, M., “Supersonic Flutter Characteristics of Functionally Graded Flat Panels Including Thermal Effects,” Composite Structures, 72, pp. 1018 (2006).Google Scholar
7. Yang, J. and Huang, X. L., “Nonlinear Transient Response of Functionally Graded Plates with General Imperfections in Thermal Environments,” Computer Methods in Applied Mechanics and Engineering, 196, pp. 26192630 (2007).Google Scholar
8. Xia, X. K. and Shen, H. S., “Nonlinear Vibration and Dynamic Response of FGM Plates with Piezoelectric Fiber Reinforced Composite Actuators,” Composite Structures, 90, pp. 254262 (2009).Google Scholar
9. Lee, J. M. and Ma, C. C., “Analytical Solutions for an Antiplane Problem of Two Dissimilar Functionally Graded Magnetoelectroelastic Half-Planes,” ACTA Mechanica, 212, pp. 2138 (2010).Google Scholar
10. Wang, T. Z. and Zhou, Y. H., “A Nonlinear Transient Constitutive Model with Eddy Current Effects for Giant Magnetostrictive Materials,” Journal of Applied Physics, 108, 123905 (2010).CrossRefGoogle Scholar
11. Wu, C. P., Chen, S. J. and Chiu, K. H., “Three-Dimensional Static Behavior of Functionally Graded Magneto-Electro-Elastic Plates Using the Modified Pagano Method,” Mechanics Research Communications, 37, pp. 5460 (2010).Google Scholar
12. Lee, J. M. and Ma, C. C., “Analytical Full-Field Solutions of a Magnetoelectroelastic Layered Half-Plane,” Journal of Applied Physics, 101(8), 083502 (2007).Google Scholar
13. Huang, J. H. and Kuo, W. S., “The Analysis of Piezoelectric/Piezomagnetic Composite Materials Containing Ellipsoidal Inclusions,” Journal of Applied Physics, 81, pp. 13781386 (1997).Google Scholar
14. Wojciechowski, S., “New Trends in the Development of Mechanical Engineering Materials,” Journal of Material Processing Technology, 106, pp. 230235 (2000).Google Scholar
15. Katranas, G. S., Meydan, T., Ovari, T. A. and Borza, F., “Thermal Stability of Bi-Layer Thin Film Displacement Sensors Systems,” Sensors and Actuators A, 142, pp. 479484 (2008).Google Scholar
16. Grunwald, A. and Olabi, A. G., “Design of a Magnetostrictive (MS) Actuator,” Sensors and Actuators A, 144, pp. 161175 (2008).Google Scholar
17. Ramirez, F., Heyliger, P. R. and Pan, E., “Free Vibration Response of Two-Dimensional Magneto-Electro-Elastic Laminated Plates,” Journal of Sound and Vibration, 292, pp. 626644 (2006).Google Scholar
18. Pradhan, S. C., “Vibration Suppression of FGM Shells using Embedded Magnetostrictive Layers,” International Journal of Solids and Structures, 42, pp. 24652488 (2005).Google Scholar
19. Lee, S. J. and Reddy, J. N., “Non-Linear Response of Laminated Composite Plates Under Thermomechanical Loading,” International Journal of Non-Linear Mechanics, 40, pp. 971985 (2005).Google Scholar
20. Buchanan, G. R., “Layered Versus Multiphase Magneto-Electro-Elastic Composites,” Composites Part B: Engineering, 35, pp. 413420 (2004).CrossRefGoogle Scholar
21. Hong, C. C., “Thermal Vibration of Magnetostrictive Material in Laminated Plates by the GDQ Method,” The Open Mechanics Journal, 1, pp. 2937 (2007).Google Scholar
22. Hong, C. C., “Transient Responses of Magnetostrictive Plates Without Shear Effects,” International Journal of Engineering Science, 47, pp. 355362 (2009).Google Scholar
23. Chi, S. H. and Chung, Y. L., “Mechanical Behavior of Functionally Graded Material Plates Under Transverse Load. Part I: Analysis,” International Journal of Solids and Structures, 43, pp. 36573674 (2006).CrossRefGoogle Scholar
24. Whitney, J. M., Structural Analysis of Laminated Anisotropic Plates, Technomic Publishing Company Inc., Pennsylvania, USA (1987).Google Scholar
25. Shu, C. and Du, H., “Implementation of Clamped and Simply Supported Boundary Conditions in the GDQ Free Vibration Analyses of Beams and Plates,” International Journal of Solids and Structures, 34, pp. 819835 (1997).Google Scholar
26. Reddy, J. N. and Chin, C. D., “Thermoelastical Analysis of Functionally Graded Cylinders and Plate,” Journal of Thermal Stresses, 21, pp. 593626 (1998).CrossRefGoogle Scholar
27. Shariyat, M., “Dynamic Buckling of Suddenly Loaded Imperfect Hybrid FGM Cylindrical Shells with Temperature Dependent Material Properties under Thermo-Electromechanical Loads,” International Journal of Mechanical Sciences, 50, pp. 15611571 (2008).CrossRefGoogle Scholar
28. Hetnarski, R. B., Thermal Stresses II, Elsevier Science Publishers B. V., pp. 332336 (1987).Google Scholar
29. Carslaw, H. S. and Jaeger, J. C., Conduction of Heat in Solids, 2nd Edition, Oxford University Press, London (1959).Google Scholar
30. Hong, C. C., “Rapid Heating Induced Vibration of Magnetostrictive Functionally Graded Material Plates,” Transactions of the ASME, Journal of Vibration and Acoustics, 134, 021019, pp. 111 (2012).CrossRefGoogle Scholar