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Counting Statistical Errors in Principal Stresses and Directions Determined by Diffraction

Published online by Cambridge University Press:  06 March 2019

D.A. Witte ,
R.A. Winholtz  and
S.P. Neal
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The state of stress in a material, as represented by the stress tensor, can be measured using x-ray or neutron diffraction techniques. A stress tensor measured using diffraction represents an experimental estimate of the true state of stress in the material. The measured stress tensor will include both instrumental and counting statistical errors. With careful measurement techniques, instrumental errors can be minimized, and accurate results can be obtained. The errors in the measured stress tensor that are due to counting statistics can be estimated using well established error propagation techniques. Unfortunately, these errors cannot be analytically propagated through the solution to the eigenvalue problem which yields the principal stresses and directions. Without estimates of the errors associated with the principal stresses and directions, the values determined for these quantities are of limited value.

Type
Research Article
Information
Advances in X-Ray Analysis , Volume 37: Forty-Second Annual Conference on Applications of X-ray Analysis, August 2-6, 1993 , 1993 , pp. 265 - 278
Copyright
Copyright © International Centre for Diffraction Data 1993

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