Simultaneous Determination of Elastic Constants and Crystallographic Orientation in Coarse-Grained Nickel by Acoustic Spectro-Microscopy

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  • Xu Yang
    Department of Metallurgy, Faculty of Engineering, University of Tokyo
  • Aizawa Tatsuhiko
    Department of Metallurgy, Faculty of Engineering, University of Tokyo
  • Kihara Junji
    Department of Metallurgy, Faculty of Engineering, University of Tokyo

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  • Simultaneous Determination of Elastic C

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Abstract

The inverse analysis method is newly developed to determine the elastic stiffness tensor and the crystallographic orientation simultaneously for cubic crystal nickel from the measured angular distribution of surface wave velocity by acoustic spectro-microscopy. In the experiment, the angular dispersion of Rayleigh surface wave velocity was measured for six grains. For each grain, the inverse analysis was iteratively performed to deduce both the elastic constants and the crystallographic orientation, which finally provided the best-fitted theoretical dispersion curve to the original measured one. The obtained average elastic stiffness constants for nickel are: C11=245 GPa, C12=152 GPa and C44=124 GPa. The maximum relative error of Cij’s was less than 5% among six grains. The crystallographic orientations {α, β, γ} were obtained with the maximum absolute error less than 1°. Sensitivity evaluation of the present inverse analysis to disturbance in Cij and {α, β, γ} was also made to demonstrate robustness of our developed procedure for practical use.

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