Measuring and modeling distributions of stress state in deforming polycrystals

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

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51 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 Sept

Bibliographical note

Funding Information:
Dr. Joel Bernier of Lawrence Livermore National Laboratories is acknowledged for the seminal work he did on the diffraction experiments and data reduction algorithms. Donald Boyce of the Deformation Processes Laboratory (DPLab) at Cornell is acknowledged for his assistance with the spherical harmonic functions. The work was supported financially by the Air Force Office of Scientific Research under grant/contract number FA9550-06-1-0168 (Dr. Victor Gigiurgiutiu, program manager) and the Cornell Center for Materials Research, which is supported through the National Science Foundation Materials Research Science and Engineering Centers program (NSF-DMR-0079992). The work is based upon research conducted at the Cornell High Energy Synchrotron Source (CHESS) which is supported by the National Science Foundation and the National Institutes of Health/National Institute of General Medical Sciences under award DMR-0225180. Dr. Alexander Kazimirov of CHESS is explicitly acknowledged for his ongoing support of our experimental effort at the A2 station. The specimen material was provided by Dr. Christian Hartig of the Technical University of Hamburg Harburg. Professor Han’s work was supported by the Korea Research Foundation Grant funded by the Korean Government (MOEHRD) KRF-2007-331-D00009.

All Science Journal Classification (ASJC) codes

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


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