Measuring and modeling distributions of stress state in deforming polycrystals

M. P. Miller, J. S. Park, P. R. Dawson, Tongseok Han

Research output: Contribution to journalArticle

45 Citations (Scopus)

Abstract

Crystal stress distributions from synchrotron X-ray diffraction experiments and crystal-based finite element simulations conducted on copper specimens loaded through yielding and the elastic-plastic transition are presented. In the experiments, the lattice strain tensor, ε{lunate} (R), and ultimately the stress tensor, σ (R), for every crystal orientation, R, within the aggregate were determined at discrete load levels during a tension test by inverting measured lattice strain pole figures. The simulation conditions exactly mimicked the experiment and the underlying model employed single-crystal elasticity and restricted-slip plasticity. In the simulation, ε{lunate} (R) and σ (R) are the average values from all elements at a particular orientation. Significant dependence in the components of σ (R) with orientation were found and the σ (R) determined from the experiment compared well with the simulation results. In addition we employed a spherical harmonic expansion of each component of stress over orientation space. The coefficients from the experiments compared well with those obtained from the simulation.

Original languageEnglish
Pages (from-to)3927-3939
Number of pages13
JournalActa Materialia
Volume56
Issue number15
DOIs
Publication statusPublished - 2008 Sep 1

Fingerprint

Polycrystals
Experiments
Tensors
Crystals
Synchrotrons
Crystal orientation
Plasticity
Stress concentration
Copper
Elasticity
Poles
Single crystals
Plastics
X ray diffraction

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Ceramics and Composites
  • Polymers and Plastics
  • Metals and Alloys

Cite this

Miller, M. P. ; Park, J. S. ; Dawson, P. R. ; Han, Tongseok. / Measuring and modeling distributions of stress state in deforming polycrystals. In: Acta Materialia. 2008 ; Vol. 56, No. 15. pp. 3927-3939.
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Measuring and modeling distributions of stress state in deforming polycrystals. / Miller, M. P.; Park, J. S.; Dawson, P. R.; Han, Tongseok.

In: Acta Materialia, Vol. 56, No. 15, 01.09.2008, p. 3927-3939.

Research output: Contribution to journalArticle

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