Errors in Elastic Constant Measurements in Single Crystals

A general analysis is presented of the errors involved in calculations of the elastic constants of single crystals from wave speed measurements. Results are presented graphically for the most probable errors, misorientation of the single-crystal samples for the wave speed measurements. Specific numerical results are presented for elastic constants typical of yttria-stabilized zirconia single crystals. These crystals were characterized elastically as cubic, with elastic constants C11, C12, and C44. The results indicate that the measurement of C11 is the least sensitive to alignment errors, while that of C12 is the most sensitive, with approximately a 10% error possible with a 5° misalignment of the crystal.

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