Abstract
A thermal postbuckling analysis is presented for a moderately thick rectangular plate subjected to (1) uniform and non-uniform tent-like temperature loading; and (2) combined axial compression and uniform temperature loading. The initial geometrical imperfection of plate is taken into account. The formulations are based on the Reissner-Mindlin plate theory considering the effects of rotary inertia and transverse shear deformation. The analysis uses a deflection-type perturbation technique to determine the thermal buckling loads and postbuckling equilibrium paths. Numerical examples are presented that relate to the performances of perfect and imperfect, moderately thick rectangular plates and are compared with the results predicted by the thin plate theory.
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References
L. W. Chen, E. J. Brunelle and L. Y. Chen, Thermal buckling of initial stressed thick plates,J. Mech. Des.,104 (1982), 557–564.
I. H. Yang and J. A. Shien, Generic thermal buckling of initial stressed antisymmetric cross-ply thick laminates,Int. J. Solids Structures,24 (1988), 1059–1070.
T. R. Tauchert, Thermal buckling of thick antisymmetric angleply laminates,J. Therm. Stresses,10 (1987), 113–124.
L. X. Sun and T. R. Hsu, Thermal buckling of laminated composite plates with transverse shear deformation,Computers & Structures.36 (1990), 883–889.
W. J. Chen, P. D. Lin and L. W. Chen, Thermal buckling behavior of thick composite laminated plates under nonuniform temperature distribution,Computers & Structures,41 (1991), 637–645.
L. Librescu and M. A. Souza, Postbuckling of geometrically imperfect shear-deformable flat panels under combined thermal and compressive edge loadings,J. Appl. Mech.,60 (1993), 526–533.
H. S. Shen, Buckling and postbuckling of moderately thick plates,Appl. Math. and Mech.,11 (1990), 367–376.
H. S. Shen and J. W. Zhang, Perturbation analyses for the postbuckling of simply supported rectangular plates under uniaxial compression,Appl. Math. and Mech.,9, 8 (1988), 793–804.
K. K. Raju and G. V. Rao, Thermal postbuckling of a square plate resting on an elastic foundation by finite element method,Computers & Structures,28 (1988), 195–199.
K. K. Raju and G. V. Rao, Thermal postbuckling of thin simply supported orthotropic square plates,Compostie Structures,12 (1989), 149–154.
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Communicated by He Fu-bao
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Hui-shen, S., Xiang-geng, Z. Thermal postbuckling analysis of moderately thick plates. Appl Math Mech 16, 475–484 (1995). https://doi.org/10.1007/BF02459346
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DOI: https://doi.org/10.1007/BF02459346