Computational aspects of tangent moduli tensors in rate-independent crystal elastoplasticity

K. Terada, I. Watanabe

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)

Abstract

The computational efficiencies of the continuum and consistent (algorithmic) tangent moduli tensors in rate-independent crystal elastoplasticity are examined in conjunction with the available implicit state update algorithms. It is, in this context, shown that the consistent tangent moduli associated with the state update algorithm with the exponential mapping coincide with the continuum tangent moduli. After verifying the reported performance of the exponential mapping algorithm in preserving the incompressibility of plastic deformation in a single crystal grain, we carry out numerical experiments to understand the convergence trends of the global Newton-Raphson iterative procedure with different kinds of tangent moduli tensors. Having done this, we are concerned with the performance of those tangent moduli tensors for the micro-scale analysis of a polycrystalline aggregate, which is regarded as a representative volume element, subjected to macro-scale uniform deformation in the context of the two-scale homogenization method.

Original languageEnglish
Pages (from-to)497-511
Number of pages15
JournalComputational Mechanics
Volume40
Issue number3
DOIs
Publication statusPublished - 2007 Aug

Keywords

  • Consistent tangent moduli
  • Crystal plasticity
  • Homogenization method
  • Polycrystalline metals
  • Return mapping algorithm

ASJC Scopus subject areas

  • Computational Mechanics
  • Ocean Engineering
  • Mechanical Engineering
  • Computational Theory and Mathematics
  • Computational Mathematics
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Computational aspects of tangent moduli tensors in rate-independent crystal elastoplasticity'. Together they form a unique fingerprint.

Cite this