Elasticity Solutions for Functionally Graded Plates in Cylindrical Bending

YANG Bo; DING Hao-jiang; CHEN Wei-qiu

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YANG Bo, DING Hao-jiang, CHEN Wei-qiu. Elasticity Solutions for Functionally Graded Plates in Cylindrical Bending[J]. Applied Mathematics and Mechanics, 2008, 29(8): 905-910.

Citation:

YANG Bo, DING Hao-jiang, CHEN Wei-qiu. Elasticity Solutions for Functionally Graded Plates in Cylindrical Bending[J]. Applied Mathematics and Mechanics, 2008, 29(8): 905-910.

Citation:

YANG Bo, DING Hao-jiang, CHEN Wei-qiu. Elasticity Solutions for Functionally Graded Plates in Cylindrical Bending[J]. Applied Mathematics and Mechanics, 2008, 29(8): 905-910.

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Elasticity Solutions for Functionally Graded Plates in Cylindrical Bending

1.
Department of Civil Engineering, Zhejiang University, Hangzhou 310027, P. R. China;

Received Date: 2008-06-30
Rev Recd Date: 2008-07-03
Publish Date: 2008-08-15

Abstract

Abstract

The plate theory of functionally graded materials suggested by Mian and fencer is extended to analyze the cylindrical bending problem of a functionally graded rectangular plate subject to uniform load.The expansion formula for displacements was adopted.While keeping the assumption that the material parameters can vary along the thiclmess direction in an arbitrary fashion,it was considerect orthotropic materials rather than isotropic materials.In addition,the traction-free condition on the top surface was replaced by the condition of uniform load applied on the top surface.The plate theory for the particular case of cylindrical bending was presented by considering an infinite extent in the y-direction.The effects of boundary conditions and material inhomogeneity on the static response of functionally graded plates were inwestigated through a numerical example.
- functionally graded plates,
- cylindrical bending,
- elastiaty

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References(9)

References

[1]	Reddy J N,Wang C M,Kitipornchai S.Axisymmetric bending of functionally graded circular and annular plates[J].European Journal of Mechanics A-Solids,1999,18(1):185-199. doi: 10.1016/S0997-7538(99)80011-4
[2]	Cheng Z G，Batra R C.Three-dimensional thermoelastic deformations of a functionally graded elliptic plate[J].Composites B,2000,31(2):97-106.
[3]	Bian Z G,Chen W Q,Lim C W，et al.Analytical solutions for single- and multi-span functionally graded plates in cylindrical bending[J].International Journal of Solids and Structures,2005,42(24/25):6433-6456. doi: 10.1016/j.ijsolstr.2005.04.032
[4]	Chi S H，Chung Y L. Mechanical behavior of functionally graded material plates under transverse load—Part Ⅰ: Analysis[J].International Journal of Solids and Structures,2006,43(13): 3657-3674. doi: 10.1016/j.ijsolstr.2005.04.011
[5]	Chi S H，Chung Y L. Mechanical behavior of functionally graded material plates under transverse load—Part Ⅱ:Numerical results[J].International Journal of Solids and Structures,2006,43(13):3675-3691. doi: 10.1016/j.ijsolstr.2005.04.010
[6]	Li X Y,Ding H J，Chen W Q. Pure bending of simply supported circular plate of transversely isotropic functionally graded material[J].Journal of Zhejiang University,Science A,2006,7(8):1324-1328. doi: 10.1631/jzus.2006.A1324
[7]	Li X Y,Ding H J，Chen W Q. Elasticity solutions for a transversely isotropic functionally graded circular plate subject to an axisymmetric transverse load qrk[J].International Journal of Solids and Structures,2008,45(1):191-210. doi: 10.1016/j.ijsolstr.2007.07.023
[8]	Mian A M，Spencer A J M.Exact solutions for functionally graded and laminated elastic materials[J].Journal of the Mechanics and Physics of Solids,1998,46(12):2283-2295. doi: 10.1016/S0022-5096(98)00048-9
[9]	England A H. Bending solution for inhomogeneous and laminated elastic plates[J].Journal of Elasticity,2006,82(2):129-173. doi: 10.1007/s10659-005-9029-x