ISSN: 1945-7553
CODEN: JTEVAB
Page Count: 8

Simplified Equations for Peak Position and for Its Standard Deviation in X-Ray Stress Measurement

Kurita, M
Assistant professor, Technological University of Nagaoka, Nagaoka,

Abstract

Simplified equations for peak position and for its standard deviation resulting from counting statistics are derived in the n points parabola method. These equations are applicable to an even as well as an odd n and can be rapidly calculated even with an inexpensive on-line computer such as a microcomputer. Thus a rapid and precise peak determination can be made by use of these equations with an inexpensive X-ray stress measurement system. Various peak positions calculated by the n points and the three points parabola methods were compared. Two heat-treated steels were used. The n points method, using all the data points that fall above approximately 85% of the maximum intensity, gave the most satisfactory result. On the other hand, the three points method produced a large standard deviation of the peak position unless the three points were taken symmetrically about the diffraction peak.

Keywords:
X-ray stress analysis, determination of stress, residual stress, standard deviation, statistical analysis

Paper ID: JTE11654J
DOI: 10.1520/JTE11654J
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