Finite Element Modelling of the Elastic-Plastic Problem

  • L. Corradi
Part of the International Centre for Mechanical Sciences book series (CISM, volume 299)


A two-field finite element model for the elastic-plastic problem is presented, based on a kinematic minimum theorem due to Maier. The formulation rests on the independent discretization of the displacement and plastic multiplier fields and includes as particular cases existing finite element approaches, which can be conceived as based on implicit particular assumptions for the plastic multiplier model. The implications of such assumptions are discussed and an alternative formulation is presented, able to overcome some inconveniencies which might be experienced with traditional procedures. Mathematical Programming theory can be used to assess some features of the structural elastic-plastic behavior and can be exploited for numerical solution purposes. Some examples illustrate the essential aspects of the behavior of the model proposed and the flexibility of Mathematical Programming formulations.


Gauss Point Finite Element Formulation Stress Redistribution Collapse Load Traditional Procedure 
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Copyright information

© Springer-Verlag Wien 1990

Authors and Affiliations

  • L. Corradi
    • 1
  1. 1.Politecnico di MilanoMilanItaly

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