Lattice strains and diffraction elastic constants of cubic polycrystals

Zhang, Yin; Chen, Wen; McDowell, David L.; Wang, Y. Morris; Zhu, Ting

doi:10.1016/j.jmps.2020.103899

Lattice strains and diffraction elastic constants of cubic polycrystals

Journal Article · Mon Feb 10 23:00:00 EST 2020 · Journal of the Mechanics and Physics of Solids

DOI:https://doi.org/10.1016/j.jmps.2020.103899· OSTI ID:1668478

Zhang, Yin ^[1]; Chen, Wen ^[2]; McDowell, David L. ^[1]; Wang, Y. Morris ^[3]; Zhu, Ting ^[1]

Georgia Inst. of Technology, Atlanta, GA (United States)
Univ. of Massachusetts, Amherst, MA (United States)
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

In situ synchrotron X-ray and neutron diffraction experiments provide a powerful approach to measure lattice strains in bulk polycrystalline materials. They are being increasingly used for quantitative characterization of microscale deformation within and between grains and phases. Here we use a self-consistent micromechanics model to obtain a general analytic solution of the grain-level lattice strains and diffraction elastic constants for a broad class of elastically isotropic polycrystals with cubic crystal symmetry. This analytic solution reveals a direct linear relationship between the reciprocal of the elastic diffraction constant and the orientation index parameter along the direction of any diffraction vector, including tensile loading and transverse directions. The straightforward numerical implementation of this solution provides diffraction elastic constants for 26 representative cubic polycrystals. Finally, analytic solutions of this kind can serve to benchmark in situ diffraction measurements of lattice strains and also facilitate high-throughput studies of microscale stresses and diffraction elastic constants in polycrystalline materials.

View Accepted Manuscript (DOE)

Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA); US Department of the Navy, Office of Naval Research (ONR)

Grant/Contract Number:: AC52-07NA27344

OSTI ID:: 1668478

Alternate ID(s):: OSTI ID: 1776111

Report Number(s):: LLNL-JRNL--812419; 1019691

Journal Information:: Journal of the Mechanics and Physics of Solids, Journal Name: Journal of the Mechanics and Physics of Solids Journal Issue: na Vol. 138; ISSN 0022-5096

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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