Elastic-plastic buckling of infinitely long plates resting on tensionless foundations.

摘要

There is a class of plate buckling problems in which buckling occurs in the presence of a constraining medium. This type of buckling has been investigated by many researchers, mainly as buckling of elastic columns and plates on elastic foundations. Analytical solutions have been obtained by assuming the foundation to provide tensile as well as compressive reaction forces. The present work differs from the previous ones in two respects. One, the foundation is assumed to be one-sided, thus providing only the compressive resistance. Two, the plates are allowed to be stressed in the plastic, strain-hardening range. Equations for determining the buckling stresses and wavelengths are obtained by solving the differential equations for simply supported and clamped long rectangular plates stressed uniformly in the longitudinal direction. The relevance and the usefulness of the obtained formulas is demonstrated by comparing the predicted results with the experimental results of other researchers on buckling of concrete filled steel box-section and HSS columns. It is shown that the theoretical buckling loads match quite closely with the experimental ones, and hence, should prove useful in formulating rules for the design of such columns.