Rigid-Plastic Post-Buckling Analysis of Columns and Quadratic Plates

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Abstract

The objective of this paper is to show the application of a novel approach to the rigid plastic hinge and yield line theory in post-buckling analysis of slender plates and columns. The upper bound theorem of plasticity theory and the associated flow law of plasticity are used to find the compressive load as a function of the transverse displacement. An estimate of the magnitude of the transverse displacement prior to the forming of the collapse mechanism is introduced into the compressive load function, determined by the virtual work equation, thereby revealing a qualified estimate of the post-buckling behaviour. The rigid plastic theory of plates, referred to as yield line theory, involves large rigid parts of the plate mutually rotating about yielding hinge lines, however in order to accommodate in plane plastic deformations area “collapse” yield lines have been introduced. The hinge yield lines accommodate differential rotations of rigid parts and the area “collapse” yield lines accommodate local area changes of the rigid parts thereby preserving compatibility of the rigid parts of a plate. The approach will be illustrated for rigid plastic column analysis and for a quadratic plate in unidirectional compression.
Original languageEnglish
Title of host publicationThin-walled Structures : Recent Innovations and Developments
EditorsM. Mahendran
VolumeVolume 2, Section X- Thin-walled Beams and Columns
Place of PublicationBrisbane, Australia
PublisherQueensland University of Technology
Publication date2008
Pages1145-1152
ISBN (Print)978-1-74107-239-6
Publication statusPublished - 2008
EventProceedings of the Fifth International Conference on Thin-walled Structures : Recent Innovations and Developments - Brisbane, Australia
Duration: 1 Jan 2008 → …

Conference

ConferenceProceedings of the Fifth International Conference on Thin-walled Structures : Recent Innovations and Developments
CityBrisbane, Australia
Period01/01/2008 → …

Keywords

  • Yield line theory
  • Column buckling
  • Rigid-plastic
  • Plate bucking
  • Plasticity
  • Post-buckling

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