Elastic buckling of unilaterally constrained rectangular plates in pure shear
Smith, ST, Bradford, Oehlers, DJ 1999, 'Elastic buckling of unilaterally constrained rectangular plates in pure shear', Engineering Structures, vol. 21, no. 5, pp. 443-453.
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For a certain class of systems, the buckling response may be unilateral rather than bilateral. Unilateral buckling is a contact problem whereby buckling is confined to take place in only one direction. For plate structures, this can occur when a thin steel plate is juxtaposed with a rigid concrete medium, and the steel may only buckle locally away from the concrete core. Examples of this include composite profiled beams, walls and concrete-filled steel tubes, as well as reinforced concrete beams that are strengthened and stiffened by gluing and/or bolting steel plates to their sides. This paper presents a Rayleigh–Ritz method of the local buckling analysis of rectangular unilaterally restrained plates in pure shear. The displacement functions are modelled as polynomials, and the restraining medium as a tensionless foundation. The method presented is shown to be very efficient computationally, and elastic local buckling coefficients are presented for a variety of restraint cases for various plate aspect ratios. The use of these coefficients in determining limiting width to thickness ratios is demonstrated.