Numerical treatment of small strain single crystal plasticity based on the infeasible primal-dual interior point method

L. Scheunemann*, P. S.B. Nigro, J. Schröder

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

Abstract

In this contribution, a small strain single crystal plasticity framework in the context of an infeasible primal–dual interior point method (IPDIPM) is discussed with a focus on the numerical treatment. Related to rate-independent algorithms in the field of single-crystal plasticity, the use of the IPDIPM to solve the constrained optimization problem offers the advantage that it handles the naturally arising redundancy in the slip system intrisically through a barrier term. This formulation penalizes the approach of the unfeasible domain, whereas the penalization term gradually approaches zero in the algorithm. This paper focusses on the numerical treatment and presents different tangent operator formulations and compares their convergency behavior in a numerical example.

Original languageEnglish
Article number111149
Number of pages14
JournalInternational Journal of Solids and Structures
Volume232
DOIs
Publication statusPublished - 2021

Keywords

  • Complex step derivative approximation
  • Consistent tangent formulation
  • Crystal plasticity
  • Infeasible primal dual interior point method
  • Nonlinear optimization with constraints
  • Numerical Differentiation

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