Mechanical behaviour of functionally graded plates under static and dynamic loading

Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science

Volumn 225, Issue 2, 2011, Pages 326-333

  Akbarzadeh, A H ^a   Hosseinizad, S K ^a   Eslami, M R ^a   Sadighi, M ^a  

^a AMIRKABIR UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

analytical Laplace inversion; Fourier transformation method; free vibration; functionally graded plate; higher order shear deformation theory; Newmark method

Indexed keywords

FOURIER TRANSFORMATION METHOD; FREE VIBRATION; FUNCTIONALLY GRADED PLATES; HIGHER ORDER SHEAR DEFORMATION THEORY; LAPLACE INVERSIONS; NEWMARK METHODS;

DYNAMIC LOADS; DYNAMIC RESPONSE; DYNAMICS; EQUATIONS OF MOTION; FOURIER ANALYSIS; FOURIER SERIES; HARMONIC ANALYSIS; LAPLACE TRANSFORMS; MECHANICAL ENGINEERING; NUMERICAL METHODS; PLATES (STRUCTURAL COMPONENTS); POISSON DISTRIBUTION; POISSON RATIO; SHEAR DEFORMATION; VIBRATION ANALYSIS;

FUNCTIONALLY GRADED MATERIALS;

EID: 79751484428     PISSN: 09544062     EISSN: None     Source Type: Journal    
DOI: 10.1243/09544062JMES2111     Document Type: Article

References (15)

1. Reddy, J. N. and Chin, C. D. Thermo mechanical analysis of functionally graded cylinders and plates. J. Therm. Stresses, 1998, 21(6), 593-626. (Pubitemid 128612780)
2. Praveen, G. N. and Reddy, J. N. Nonlinear transient thermoelastic analysis of functionally graded ceramic-metal plates. Int. J. Solid Struct., 1998, 35(33), 4457-4476. (Pubitemid 128383847)
3. Reddy, J. N. Analysis of functionally graded plates. Int. J. Numer.Meth. Engng, 2000, 47, 663-684. (Pubitemid 30527735)
4. Han, X., Liu, G. R., Xi, Z. C., and Lam, K. Y. Transient waves in a functionally graded cylinder. Int. J. Solids Struct., 2001, 38, 3021-3037. (Pubitemid 32257387)
5. Vel, S. S. and Batra, R. C. Exact solution for thermoelastic deformation of functionally graded thick rectangular plates. AIAA J., 2002, 40, 1421-1433. (Pubitemid 34799630)
6. Vel, S. S. and Batra, R. C. Three-dimensional analysis of transient thermal stresses in functionally graded plates. Int. J. Solids Struct., 2002, 40, 1421-1433.
7. Chakraborty, A., Gopalakrishnan, S., and Reddy, J. N. A new beam finite element for the analysis of functionally graded materials. Int. J.Mech. Sci., 2003, 45, 519-539.
8. Chung, Y. L. and Chang, H. X. Mechanical behavior of rectangular plates with functionally graded coefficient of thermal expansion subjected to thermal loading. J. Therm. Stresses, 2008, 31, 368-388.
9. Babaei, M. H., Abbasi, M., and Eslami, M. R. Coupled thermoelasticity of functionally graded beams. J. Therm. Stresses, 2008, 31, 1-18.
10. Matsunaga, H. Free vibration and stability of functionally graded plates according to a 2-D higherorder deformation theory. Compos. Struct., 2008, 82, 499-512. (Pubitemid 47543561)
11. Li,Q.,Iu,V.P.,andKou,K.P.Three-dimensional vibration analysis of functionally graded material plates in thermal environment. J. SoundVibr., 2009, 324, 733-750.
12. Kitipornchai, S., Ke, L. L., Yang, J., and Xiang, Y. Nonlinear vibration of edge cracked functionally graded Timoshenko beams. J. SoundVibr., 2009, 324, 962-982.
13. Reddy, J. N. Mechanics of laminated composite plates and shells, 2nd edition, 2004 (CRC Press LLC, Taylor and Francis Group, USA).
14. Chi, S. H. and Chung, Y. L. Mechanical behavior of functionally graded material plates under transverse load - part I: analysis. Int. J. Solids Struct., 2006, 43, 3657-3674.
15. Zhao, X., Lee,Y.Y.,and Liew,K.M. Free vibration analysis of functionally graded plates using the element-free Kp-Ritz method. J. Sound Vibr., 2009, 319, 918-939.