Abstract
Experimental measurements of lattice orientation correlation in an oxygen-free electronic (OFE) copper plate have been employed in several statistical continuum mechanical theories to construct improved bounds and estimates of the plate’s macroscopic elastic response. One- and two-point microstructural statistics of lattice orientation were obtained through the automated analysis of spatially resolved electron backscatter diffraction (EBSD) patterns. Generalized Hashin-Shtrikman (GHS) bounds incorporating two-point statistical data were found to be 75 pct narrower than the Voigt-Reuss bounds. A perturbation expansion technique yielded two sets of bounds of comparable quality. An experimental acoustic measurement of the bulk elastic response of the plate was found to lie between the calculated bounds. In addition, a perturbation estimate was obtained which exceeds the measured response, but still falls within all of the calculated bounds. The influence of crystallographic texture was investigated for a variety of simulated textured copper polycrystals and was found to cause significant differences in the macroscopic elastic properties.
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Mason, T.A., Adams, B.L. Use of microstructural statistics in predicting polycrystalline material properties. Metall Mater Trans A 30, 969–979 (1999). https://doi.org/10.1007/s11661-999-0150-5
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DOI: https://doi.org/10.1007/s11661-999-0150-5