Measuring and modeling distributions of stress state in deforming polycrystals

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

Research output: Contribution to journalArticle

47 Citations (Scopus)


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
Issue number15
Publication statusPublished - 2008 Sep 1

All Science Journal Classification (ASJC) codes

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

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