THE WOLFE-MARKOWITZ ALGORITHM FOR NONHOLONOMIC ELASTOPLASTIC ANALYSIS

Four basic formulations are presented for the elastoplastic analysis of framed structures. Each has the mathematical form of a parametric linear complementarity program (plcp) and reduces to a familiar set of linear equations for the analysis of linear elastic frames. For solving the plcp the Wolfe-Markowitz algorithm is introduced, and its operation is described by application to a simple example. This example, although subject to proportional loading, exhibits the unstressing of a section which had previously suffered plastic deformation. In holonomic (reversible) behaviour the plastic deformation is recovered before unstressing can occur, whereas in nonholonomic response the unstressing occurs before any plastic deformation is recovered. The more realistic, latter case necessitates a slight modification to the algorithm, while the imposition of holonomic behaviour upon the present example results in a sudden pseudomechanism motion as the frame snaps through into a new equilibrium configuration. The Wolfe-Markowitz algorithm traces the complete response of a structure to its loading programme, giving a sequence of solutions to correspond with the activation of each successive plastic hinge. At its terinaton, the algorithm also provides a complete plastic limit analysis.(a) /TRRL/

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  • Corporate Authors:

    IPC Science and Technology Press Limited

    IPC House, 32 High Street
    Guildford, Surrey  England 
  • Authors:
    • Lloydhie, JFJ
  • Publication Date: 1978-10

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  • Accession Number: 00189676
  • Record Type: Publication
  • Source Agency: Transport and Road Research Laboratory (TRRL)
  • Files: ITRD, TRIS
  • Created Date: Jun 13 1979 12:00AM