A quasi-static boundary value problem in multi-surface elastoplasticity: Part 2 - Numerical solution

Martin Brokate, Carsten Carstensen, Jan Valdman

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

Abstract

Multi-yield elastoplasticity models a material with more than one plastic state and hence allows for refined approximation of irreversible deformations. Aspects of the mathematical modelling and a proof of unique existence of weak solutions can be found in part I of this paper (Math. Models Methods Appl. Sci. 2004). In this part II we establish a canonical time-space discretization of the evolution problem and present various algorithms for the solving really discrete problems. Based on a global Newton-Raphson solver, we carefully study and solve elementwise inner iterations. Numerical examples illustrate the model and its flexibility to allow for refined hysteresis curves.

Original languageEnglish
Pages (from-to)881-901
Number of pages21
JournalMathematical Methods in the Applied Sciences
Volume28
Issue number8
DOIs
StatePublished - 25 May 2005

Keywords

  • Elastoplasticity
  • Finite element method
  • Hysteresis
  • Multi-yield Prandtl-Ishlinskii model
  • Phase transition multi-surface model
  • Variational inequalities

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