Multi-yield Elastoplastic Continuum-Modeling and Computations

Johanna Kienesberger () and Jan Valdman ()
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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’

A chapter in Numerical Mathematics and Advanced Applications, 2004, pp 539-548 from Springer

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.

Keywords: Variational Inequality; Multigrid Method; Play Type; Plasticity Domain; Linear Kinematic Hardening (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-18775-9_51

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DOI: 10.1007/978-3-642-18775-9_51

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