Static Analysis of Functionally Graded Annular Plate Resting on Elastic Foundation Subject to an Axisymmetric Transverse Load Based on the Three Dimensional Theory of Elasticity

Subject Areas : Engineering

A Behravan Rad ¹ , A Alibeigloo ² , S.S Malihi ³

1 - Department of Mechanical Engineering, Islamic Azad University, Karaj Branch
2 - Department of Mechanical Engineering, Engineering Faculty, Tarbiat Modares University
3 - Department of Mechanical Engineering, Islamic Azad University, Karaj Branch

Received: 2010-05-02 Accepted : 2010-11-03 Published : 2010-09-30

Keywords:

References:

[1] Reddy J.N., Wang C.M., Kitipornchai S., 1999, Symmetric bending of functionally graded circular and annular plates. European Journal of Mechanics A/Solids 18(2):185-199.

[2] Yang J., Shen H.S., 2001, Dynamic response of initially stressed functionally graded rectangular thin plates, Composite Structures 54: 497-508.

[3] Ma L.S., Wang T.J., 2004, Relationships between axisymmetric bending and buckling solutions of FGM circular plates based on third-order plate theory and classical plate theory, International Journal of Solids and Structures 41(1): 85-101.

[4] Vel S.S., Batra R.C., 2004, Three-dimensional exact solution for the vibration of functionally graded rectangular plates, Journal of Sound and Vibration 272: 703-730.

[5] Chen C.S., 2005, Nonlinear vibration of a shear deformable functionally graded plate, Composite Structures 68:295-302.

[6] Serge A.., 2006, Free vibration buckling and static deflections of functionally graded plates, Composite Science and Technology 66: 2383-2394.

[7] Park J.S., Kim J.H., 2006, Thermal postbuckling and vibration analyses of functionally graded plates, Journal of Sound and Vibration 289: 77-93.

[8] Nie G.J., Zhong Z.., 2007, Axisymmetric bending of two-directional functionally graded circular and annular plates, Acta Mechanica Solid Sincia 20(4): 289-295.

[9] Nie G.J., Zhong Z.., 2007, Semi-analytical solution for three-dimensional vibration of functionally graded circular plates, Computer Methods in Applied Mechanics and Engineering 196:4901-4910.

[10] Li X.Y., Ding H.J., Chen W.Q., 2008, Elasticity solutions for a transversely isotropic functionally graded circular plate subject to an axisymmetric transverse load qrk, International Journal of Solids and Structures 45(1): 191-210.

[11] Nie G.J., Zhong Z., 2008, Vibration analysis of functionally graded sectorial plates with simply supported radial edges, Composite Structures 84:167-176.

[12] Huang Z.Y., Lu C.F., Chen W.Q., 2008, Benchmark solution for functionally graded thick plates resting on Winkler- Pasternak elastic foundations, Composite Structures 85: 95-104.

[13] Wang Y., Xu R.Q., Ding H.J., 2009, Free axisymmetric vibration of FGM plates, Applied Mathematics and Mechanics 30 (9): 1077-1082.

[14] Malekzadeh P., 2009, Three-dimensional free vibration analysis of thick functionally graded plates on elastic foundations, Composite Structures 89: 367-373.

[15] Hosseini Hashemi Sh., Akhavan H., Rokni D.T., Daemi H., Alibeigloo N., 2010, Differential quadrature analysis of functionally graded circular and annular sector plates on elastic foundation, Materials and Design 31(4): 1871-1880.

[16] Nie G.J., Zhong Z., 2010, Dynamic analysis of multi-directional functionally graded annular plates, Applied Mathematical Modeling 34(3): 608-616.

[17] Shu C., 2000, Differential Quadrature and Its Application in Engineering, Springer Publication, New York.