Errors Due to Counting Statistics in the Triaxial Strain (Stress) Tensor Determined by Diffraction

摘要

Knowledge of the errors in a diffraction measurement of residual strains and stresses is useful information, not only in its own right, but also because it permits automation of a measurement to an operator specified precision. There are three sources of these errors: (1) Instrumental effects; (2) Uncertainties in x-ray elastic constants; and (3) Errors in the diffraction peak position related to counting statistics. In this paper the errors are derived for the diffraction measurement of the three dimensional stress and strain tensor due to counting statistics.