Internal Variable Formulations of Problems in Elastoplastic Dynamics

  • Modify A. E. Kaunda
Conference paper
Part of the IUTAM BookSeries book series (IUTAMBOOK, volume 11)

Abstract

The fundamental problem of an elastic-plastic body subjected to incremental loading is reviewed using a compact internal variable approach which is expressed as a convex nonlinear mathematical programming problem. The approach is based on work carried out by Martin and co-workers [1–6] at the University of Cape Town. Additional contributions are introduced in the area of solution algorithms. Algorithms are developed aimed at approximating kinematic variables. Static and dynamic differential equations of motion and algorithms in form of a convex nonlinear mathematical programming problem are developed using the application of Liapunov functions. Stability analysis via energy methods with the help of Liapunov functions is performed to determine integration parameters.

Key words

dynamics plasticity internal variables integration of algorithms Liapunov function 
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Copyright information

© Springer Science+Business Media B.V 2008

Authors and Affiliations

  • Modify A. E. Kaunda
    • 1
  1. 1.School of Mechanical Engineering & Applied MathematicsCentral University of Technology, Free StateBloemfonteinSouth Africa

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