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A method is proposed according to which the bifurcation buckling load of inelastic rate-sensitive plates subjected to specified boundary conditions can be deduced from the solution of the corresponding perfectly elastic problem under the same boundary conditions. Applications of the method are given for the determination of the buckling stresses of simply supported viscoplastic plates for various values of loading rates and thermal conditions. Both classical and higher-order theories of plates are used in this investigation, and the effect of shear deformation is studied. The numerical results are given for a viscoplastic material that is modeled by the Bodner-Partom unified theory.

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A method is proposed for determining the critical temperature changes that cause inelastic thermal bifurcation buckling of metal matrix composite plates. The inelastic behavior of the metallic matrix is described by an elastic-viscoplastic temperaturedependent constitutive law; the fibers are allowed to be either elastic or elasticviscoplastic material. The approach is based on the applied thermal load and the history-dependent instantaneous effective thermomechanical properties of metal matrix composites, which are established by a micromechanical analysis. The method is illustrated by the prediction of the inelastic thermal buckling of SiC ITi metal matrix angle-ply laminated plates by employing the classical and first-order shear deformable laminated plate theories.