Rigid Plastic Dynamics

  • D. Lloyd Smith
  • C. L. Sahlit
Part of the International Centre for Mechanical Sciences book series (CISM, volume 299)


The problem of rigid-plastic framed structures subjected to load pulses of arbitrary form, and of intensity such that substantial plastic deformation takes place, is treated by approximate means. The investigation is restricted to the range of low intensity excitation which induces a global dynamic response.

Mesh and nodal descriptions of the kinetic and kinematic laws are given for a structure with discrete masses under the restriction of small displacements, while the structural material is assumed rigid, perfectly plastic and strain-rate insensitive.

The vectorial relations of the finite element representation of the structure are integrated numerically by means of Newmark’s method. For each increment of time, there emerges a linear complementarity problem (LCP) which can be solved by a variant of Wolfe’s algorithm.

It proves essential to incorporate a numerical procedure which can identify and properly account for the unstressing that may occur within any particular increment of time. Such unstressing is undoubtedly a major feature of rigid-plastic dynamics.


Plastic Hinge Linear Complementarity Problem Critical Section Discrete Mass Plasticity Relation 
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Copyright information

© Springer-Verlag Wien 1990

Authors and Affiliations

  • D. Lloyd Smith
    • 1
  • C. L. Sahlit
    • 1
    • 2
  1. 1.Imperial CollegeLondonUK
  2. 2.Departamento de Engenharia CivilUniversidade de BrasiliaBrasil

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