Abstract
A n investigation of bifurcation phenomena in elastic and inelastic plates is initiated from the standpoint of hill's (1959) bifurcation theory. The basic differential equation is obtained for bifurcation of a thin plate of arbitrary contour and very wide material properties under compressive plane stress and edge loads, when shear stiffening is negligible. These material properties are exemplified in some detail, and the role of the ‘comparison’ solid is emphasized. With a view to future applications of the uniqueness criterion, a subclass of admissible fields is given which includes (among others) both those used to get the differential equation, and also a generalization of all the fields that can occur in a rigid/plastic solid in a uniform yield-point state of stress [i.e. of P rager's (1954) fields].
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