Kármán-Type Equations for a Higher-order Shear Deformation Plate Theory and Its Use in the Thermal Postbuckling Analysis

Shen Huishen

Volume 18 Issue 12

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Article Navigation > Applied Mathematics and Mechanics > 1997 > 18(12): 1059-1073

Shen Huishen. Kármán-Type Equations for a Higher-order Shear Deformation Plate Theory and Its Use in the Thermal Postbuckling Analysis[J]. Applied Mathematics and Mechanics, 1997, 18(12): 1059-1073.

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Kármán-Type Equations for a Higher-order Shear Deformation Plate Theory and Its Use in the Thermal Postbuckling Analysis

Shen Huishen

Department of Civil Engineering, Shanghai Jiaotong University, Shanghai 200030, P. R. China

Received Date: 1996-03-11
Rev Recd Date: 1997-06-06
Publish Date: 1997-12-15

Abstract

Abstract

Kármán-type nonlinear large deflection equations are derived occnrding to the Reddy's higher-order shear deformation plate theory and used in the thermal postbuckling analysis The effects of initial geometric imperfections of the plate are included in the present study which also includes the thermal effects.Simply supported,symmetric cross-ply laminated plates subjected to uniform of nomuniform parabolic temperature distribution are considered. The analysis uses a mixed Galerkin-perlurbation technique to determine thermal buckling louds and postbuckling equilibrium paths.The effects played by transverse shear deformation plate aspeclraio, total number of plies thermal load ratio and initial geometric imperfections arealso studied.
- composite laminated plate,
- higher-order shear deformation plate theory,
- thermal postbuckling,
- Galerkin-perturbation technique

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References(5)

References

[1]	Y.Stavsky,Thermoelasticity of heterogeneous aeolotropic plates,ASCE.J.Eng.Mech.89,2 (1963),88~105.
[2]	H.S.Shen and Z.Q.Lin.Thermal post-buckling analysis of imperfect laminated plates,Computers and Structures 57.3 (1995),533-340.
[3]	J.N.Reddy.A refined nonlinear theory of plates with transverse shear deformation,Int J.Solids Structures.20,9/10 (1984),881~896.
[4]	A.K.Noor and W.S.Burton,Three-dimensional solutions for thermal buckling ofmultilayered anisotropic plates,ASCE.J.Eng.Mech.118,4 (1992),683-701.
[5]	G.Singh,G.V.Rao and N.G.R.Iyengar,Thermal postbuckling behavior of laminatedcomposite plates,AIAA J.32,6 (1994),1336-1338.

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