Systematic mesh and nodal descriptions of the laws of statics and kinematics for the limiting state of plastic collapse in a structural system are set out. Then the constitutive relations appropriate to this condition are presented in such a way as to emphasise their inherent complementarity. The mixing together of these three independent ingredients — statics, kinematics and material constitution — gives rise to the vectorial formulation which governs plastic collapse: it is identified as a linear complementarity problem. From it are derived the dual linear programs which give expression to the variational principles associated with upper and lower bounds on the collapse load factor.


Yield Surface Plastic Hinge Linear Complementarity Problem Critical Section Admissible Solution 
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Copyright information

© Springer-Verlag Wien 1990

Authors and Affiliations

  • D. Lloyd Smith
    • 1
  1. 1.Imperial CollegeLondonUK

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