A spectral method solution to crystal elasto-viscoplasticity at finite strains

P. Eisenlohr, Martin Diehl, R. A. Lebensohn, Franz Roters

Research output: Contribution to journalArticle

  • 86 Citations

Abstract

A significant improvement over existing models for the prediction of the macromechanical response of structural materials can be achieved by means of a more refined treatment of the underlying micromechanics. For this, achieving the highest possible spatial resolution is advantageous, in order to capture the intricate details of complex microstructures. Spectral methods, as an efficient alternative to the widely used finite element method (FEM), have been established during the last decade and their applicability to the case of polycrystalline materials has already been demonstrated. However, until now, the existing implementations were limited to infinitesimal strain and phenomenological crystal elasto-viscoplasticity. This work presents the extension of the existing spectral formulation for polycrystals to the case of finite strains, not limited to a particular constitutive law, by considering a general material model implementation. By interfacing the exact same material model to both, the new spectral implementation as well as a FEM-based solver, a direct comparison of both numerical strategies is possible. Carrying out this comparison, and using a phenomenological constitutive law as example, we demonstrate that the spectral method solution converges much faster with mesh/grid resolution, fulfills stress equilibrium and strain compatibility much better, and is able to solve the micromechanical problem for, e.g., a 256 3 grid in comparable times as required by a 643 mesh of linear finite elements.

Original languageEnglish (US)
Pages (from-to)37-53
Number of pages17
JournalInternational Journal of Plasticity
Volume46
DOIs
StatePublished - Jul 2013
Externally publishedYes

Profile

Carbamoyl-Phosphate Synthase (Glutamine-Hydrolyzing)
Anthralin
Viscoplasticity
Abdominal Injuries
Traffic Accidents
Carcinoid Tumor
Finite element method
Crystals
Addison Disease
Perineum
Micromechanics
Polycrystals
Microstructure
Polycrystalline materials

Keywords

  • A. Microstructures
  • B. Crystal plasticity
  • C. Finite elements
  • C. High-resolution periodic volume element
  • C. Numerical algorithms

ASJC Scopus subject areas

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

Cite this

A spectral method solution to crystal elasto-viscoplasticity at finite strains. / Eisenlohr, P.; Diehl, Martin; Lebensohn, R. A.; Roters, Franz.

In: International Journal of Plasticity, Vol. 46, 07.2013, p. 37-53.

Research output: Contribution to journalArticle

Eisenlohr, P.; Diehl, Martin; Lebensohn, R. A.; Roters, Franz / A spectral method solution to crystal elasto-viscoplasticity at finite strains.

In: International Journal of Plasticity, Vol. 46, 07.2013, p. 37-53.

Research output: Contribution to journalArticle

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