Recently, the position sensitive proportional counter (PSPC) has been becoming popular as a detector for the X-ray stress measurement. However, little information is available in the literature regarding the effects of systematic errors such as specimen mis-setting, collimator misalignment and detector misalignment etc. on the stress measurement using the PSPC.
In this paper, the detector misalignment is discussed using a model and a simulation method of the Ω assembly X-ray stress measurement. The stress errors Δσ
rd, Δσ
td and Δσ
kd due to the translation
rd in the direction of goniometer radius, the translation
td in the direction of diffraction angle and the rotation
kd, respectively, were calculated as the value of measured stress σ
x subtracted by specimen stress σ and intrinsic stress σ
c.
It was found that Δσ
rd, Δσ
td and Δσ
kd are expressed as a linear relation of
rd,
td and
kd, respectively. The slope of the relation depends on the collimator dimensions, goniometer radius and specimen stress. However, the absolute value of Δσ
rd, Δσ
td and Δσ
kd were found extremely small for the conditions examined. If the detector is misaligned under the combination of translations and rotation, the stress error is the sum of the errors due to translations and rotation. If the stress is measured under detector misalignment with specimen mis-setting, the stress error is the sum of the errors due to detector misalignment and specimen mis-setting. Under the detector misalignment with collimator misalignment, the stress error is the sum of the errors due to detector misalignment and collimator misalign-ment. It was concluded that the stress error due to detector misalignment is negligibly small when compared with those due to specimen mis-setting and collimator misalignment.
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