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Recent Developments in the Numerical Analysis of Plasticity

  • J. C. Simo
Part of the International Centre for Mechanical Sciences book series (CISM, volume 321)

Abstract

The goal of this lectures is to survey some recent developments in the numerical analysis of classical plasticity and viscoplasticity. For the infinitesimal theory, the continuum mechanics aspects of the subject are currently well understood and firmly established. Classical expositions of the basic theory can be found in the work of HILL [1950], KOITER [1960] and others. On the mathematical side, classical plasticity experienced a significant development in the 70’s and early 80’s, starting with the pioneering work of DUVAUT & LIONS [1972]. The subsequent improvement of JOHNSON [1978], MATTHIES [1979], SUQUET [1979], TEMAM & STRANG [1980] and others produced at the beginning of the 80’s a fairly complete mathematical picture of the theory.

Keywords

Variational Inequality Finite Strain Principal Stretch Elastic Domain Multiplicative Decomposition 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Wien 1993

Authors and Affiliations

  • J. C. Simo
    • 1
  1. 1.Stanford UniversityStanfordUSA

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