About Error Calculation in X-Ray Stress Measurement

Balder Ortner

doi:10.4028/www.scientific.net/AMR.996.215

Paper Titles

Energy-Dispersive Residual Stress Analysis under Laboratory Conditions: Concept for a New Type of Diffractometer
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Optimizing Experiment Performance by Realistic Sample Simulations
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MYTHEN Detector – Perspectives in Residual Stress Measurements
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Gamma Profile Analysis for Stress, Texture and Grain Size
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About Error Calculation in X-Ray Stress Measurement
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External Reference Samples for Residual Stress Analysis by X-Ray Diffraction
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X-Ray Optics and Precision Requirements for Residual Stress Analyses with High Spatial Resolution
p.228

Beyond the Streetlight Effect: A United Future for Relaxation and Diffraction Methods for Residual Stress Measurement
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Numerical Reconstruction of Residual Stress Fields from Limited Measurements
p.243

HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 996About Error Calculation in X-Ray Stress...

About Error Calculation in X-Ray Stress Measurement

Abstract:

It is shown that the knowledge of standard deviations (Δσ_ij ) of the components of a stress tensor (σ_ij) is not sufficient to calculate also standard deviations of quantities derived from the stress tensor, as principal stresses (σ_I, σ_II, σ_III), von Mises stress, Tresca stress, and the components of the deviatoric stress tensor σ'_ij. For such a calculation one needs all information about the measurement and the method for the calculation of σ_ij. This information is: the accuracy of each measured lattice plane distance and the x-ray elastic factors F_ij(φ,ψ,hkl) of each measured point. Equations are given for the calculation of the standard deviations of all the mentioned quantities. For special cases of measurement strategy the wanted calculations become easier. This is also given.

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Periodical:

Advanced Materials Research (Volume 996)

Pages:

215-220

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.996.215

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Online since:

August 2014

Authors:

Balder Ortner

Keywords:

Error Calculation, Principal Stress, Von Mises Stress, X-Ray Stress Measurement

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References

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