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Variational Statements and Mathematical Programming Formulations in Elastic-Plastic Analysis

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

Abstract

The basic results of classical (associated) rate plasticity theory are first summarized in this chapter and some variational (minimum) statements are recalled, which provide suitable bases for finite element discretization. Extensions to holonomic or piecewise holonomic representations of the elastic-plastic behavior are next discussed, under the assumption that the constitutive law can be expressed in a piecewise linear form. The discrete elastic-plastic problem for finite load increments is considered in this context and connections with Mathematical Programming formulations are underlined.

Keywords

Positive Semidefinite Plastic Strain Rate Stress Space Associate Flow Rule Classical Plasticity 
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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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