INELASTIC BUCKLING ANALYSIS OF AXIALLY COMPRESSED THIN CCCC PLATES USING TAYLOR-MACLAURIN DISPLACEMENT FUNCTION

This paper is concerned with the use of Taylor-Maclaurin series in the inelastic buckling analysis of a thin, flat, rectangular, isotropic plate bounded by four clamped edges. In the problem definition, the plate is subjected to uniform uniaxial in-plane compression. The inelastic buckling behavior of the plate was obtained by adopting the deformation plasticity theory using Stowell’s approach. The total potential energy functional was minimized and the inelastic buckling load was obtained using a work technique. The Taylor-Maclaurin series was truncated at the fifth term which satisfied the boundary conditions and resulted to a particular displacement function of the CCCC plate. The displacement function was substituted in the inelastic buckling equation. The critical buckling load was found to be a function of the plate buckling coefficient, and values of the plate buckling coefficient were calculated for aspect ratios ranging from 0.1 to 2.0 at intervals of 0.1. The results were compared with the elastic buckling values and the minimum and maximum percentage differences were -0.366% and -7.447% respectively. These differences show that the technique from the present study is a good approximate method for analyzing the inelastic buckling of CCCC plates.