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Many papers have been published on the instability of plates in the plastic range. However, it has been a difficult problem for researchers to determine the buckling load of a plate from experimental data. Several approaches have been used. The critical buckling load (or applied average strain) has been assumed to be equal to the maximum load (or the corresponding strain) carried by the plate. Another approach was to take the point of a rapid increase in deflection or a point of bifurcation of strains measured on both surfaces at a certain point on the plate.
In this paper a new method is proposed for determining the critical load from experimental data. A theoretical justification is furnished by using the energy approach and the deformation theory of plasticity. The method was verified by carrying out plate and angle compression tests.
This method can be described briefly as follows. The average compressive strain of a plate, ε, is plotted against the square of the maximum deflection of the plate, δ2. In this diagram, the critical strain εcr of the axially compressed plate may be easily and uniquely established by the intersection of the ε-axis with a mean straight line drawn through the plotted points. Critical loads determined experimentally by the method show a fair agreement with theoretical values. This approach is also applicable in the elastic range of plate buckling, and it may be considered to be an extension of the method proposed by Masao Yoshiki in an earlier paper.
test methods, compression members, buckling, plastic deformation, plates (structural members), instability
Professor of naval architecture, University of Tokyo, Tokyo,
Associate professor of naval architecture, University of Tokyo, Tokyo,