Texture prediction from a novel grain cluster-based homogenization scheme

P. Eisenlohr*, D. D. Tjahjanto, Thomas Hochrainer, F. Roters, D. Raabe

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We propose a method, termed relaxed grain cluster (RGC), which homogenizes the response of polycrystals, subjected to mechanical loads, from the monocrystal constitutive law in order to predict the evolution of deformation resistance and microstructure properties, e.g. texture. Generalizing existing grain interaction models, we consider a cluster of 2 × 2 × 2 homogenous grains at each continuum material point. Allowing for additional displacements of the grain interfaces introduces relaxations with respect to the classical full-constraints (FC) Taylor model. This decouples the local grain deformation gradients, but may induce interfacial mismatch between grains. The relaxations are determined as minimizers of the cluster's total mechanical work density being biased by a (penalty) energy density associated with the interfacial mismatch. In this work the bias is neglected, thus the minimum energy criterium is equivalent to stress equilibrium at each interface. As an example, the evolution of texture for plane-strain compression (simplification for cold rolling) of a commercial aluminum alloy is compared for different configurations of interfacial relaxations. We discuss the resulting variation in texture intensity in light of the different relaxation modes allowed and point out the fully-relaxed RGC scheme to be closest to and in decent agreement with experimental reference.

Original languageEnglish
Pages (from-to)523-526
Number of pages4
JournalInternational Journal of Material Forming
Issue numberSUPPL. 1
Publication statusPublished - Dec 2009


  • Grain interaction
  • Homogenization method
  • Texture evolution

ASJC Scopus subject areas

  • Materials Science(all)


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