Numerically robust spectral methods for crystal plasticity simulations of heterogeneous materials

Pratheek Shanthraj, P. Eisenlohr, Martin Diehl, Franz Roters

Research output: Contribution to journalArticle

  • 33 Citations

Abstract

Efficient spectral methods are developed to predict the micromechanical behaviour of plastically deforming heterogeneous materials. The direct and mixed variational conditions for mechanical equilibrium and strain compatibility are formulated in a framework that couples them to a general class of non-linear solution methods. Locally evolving micromechanical fields in a sheared polycrystalline material governed by a phenomenological crystal plasticity constitutive law are used to validate the methods, and their performance at varying material heterogeneities is benchmarked. The results indicate that the solution method has a dominant influence on performance and stability at large material heterogeneities, and significant improvements over the conventional fixed-point approach are obtained when higher-order solution methods are employed. Optimal solution strategies are devised based on this and applied to an idealised dual-phase polycrystalline aggregate.

LanguageEnglish (US)
Pages31-45
Number of pages15
JournalInternational Journal of Plasticity
Volume66
DOIs
StatePublished - 2015

Profile

Plasticity
Crystals
Polycrystalline materials

Keywords

  • Crystal plasticity
  • High-resolution periodic volume element
  • Numerical algorithms
  • Spectral method
  • Voids and inclusions

ASJC Scopus subject areas

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

Numerically robust spectral methods for crystal plasticity simulations of heterogeneous materials. / Shanthraj, Pratheek; Eisenlohr, P.; Diehl, Martin; Roters, Franz.

In: International Journal of Plasticity, Vol. 66, 2015, p. 31-45.

Research output: Contribution to journalArticle

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