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Multi-yield Elastoplastic Continuum-Modeling and Computations

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • Johanna Kienesberger

    (Johannes Kepler University Linz, Special Research Program SFB F013 ‘Numerical and Symbolic Scientific Computing’)

  • Jan Valdman

    (Johannes Kepler University Linz, Special Research Program SFB F013 ‘Numerical and Symbolic Scientific Computing’)

Abstract

Summary The quasi-static evolution of an elastoplastic body with a multi-surface constitutive law of linear kinematic hardening type allows the modeling of curved stress-strain relations. It generalises classical small-strain elastoplasticity from one to various plastic phases. Firstly, we briefly recall a mathematical model represented by an initial-boundary value problem in the form a variational inequality. Then, the main concern of this paper is focused on an efficient numerical implementation of a one time-step problem. Based on the minimisation problem we describe an iterative non-linear algorithm whose linear subsystems are solved by a geometrical multigrid method. Finally, the numerical computations in 2D and 3D are presented.

Suggested Citation

  • Johanna Kienesberger & Jan Valdman, 2004. "Multi-yield Elastoplastic Continuum-Modeling and Computations," Springer Books, in: Miloslav Feistauer & Vít Dolejší & Petr Knobloch & Karel Najzar (ed.), Numerical Mathematics and Advanced Applications, pages 539-548, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-18775-9_51
    DOI: 10.1007/978-3-642-18775-9_51
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