Calculation of Debye-Scherrer diffraction patterns from highly stressed polycrystalline materials

MacDonald, M. J.; Vorberger, J.; Gamboa, E. J.; Drake, R. P.; Glenzer, S. H.; Fletcher, L. B.

doi:10.1063/1.4953028

Calculation of Debye-Scherrer diffraction patterns from highly stressed polycrystalline materials

Journal Article · Tue Jun 07 00:00:00 EDT 2016 · Journal of Applied Physics

DOI:https://doi.org/10.1063/1.4953028· OSTI ID:1338285

^[1]; Vorberger, J. ^[2]; Gamboa, E. J. ^[3]; ^[4]; Glenzer, S. H. ^[3]; Fletcher, L. B. ^[3]

Univ. of Michigan, Ann Arbor, MI (United States); SLAC National Accelerator Lab., Menlo Park, CA (United States); macdonm@berkeley.edu
Helmholtz Zentrum Dresden-Rossendorf, Dresden (Germany)
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Univ. of Michigan, Ann Arbor, MI (United States)

Calculations of Debye-Scherrer diffraction patterns from polycrystalline materials have typically been done in the limit of small deviatoric stresses. Although these methods are well suited for experiments conducted near hydrostatic conditions, more robust models are required to diagnose the large strain anisotropies present in dynamic compression experiments. A method to predict Debye-Scherrer diffraction patterns for arbitrary strains has been presented in the Voigt (iso-strain) limit. Here, we present a method to calculate Debye-Scherrer diffraction patterns from highly stressed polycrystalline samples in the Reuss (iso-stress) limit. This analysis uses elastic constants to calculate lattice strains for all initial crystallite orientations, enabling elastic anisotropy and sample texture effects to be modeled directly. Furthermore, the effects of probing geometry, deviatoric stresses, and sample texture are demonstrated and compared to Voigt limit predictions. An example of shock-compressed polycrystalline diamond is presented to illustrate how this model can be applied and demonstrates the importance of including material strength when interpreting diffraction in dynamic compression experiments.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Michigan, Ann Arbor, MI (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Fusion Energy Sciences (FES); USDOE Office of Science (SC), Fusion Energy Sciences (FES) (SC-24)

Grant/Contract Number:: NA0002956

OSTI ID:: 1338285

Alternate ID(s):: OSTI ID: 22596775
OSTI ID: 1253956
OSTI ID: 1256145

Journal Information:: Journal of Applied Physics, Journal Name: Journal of Applied Physics Journal Issue: 21 Vol. 119; ISSN 0021-8979

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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