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The ϕ-Integral Method for X-Ray Residual Stress Measurements

Published online by Cambridge University Press:  06 March 2019

C.N.J. Wagner ,
B. Eigenmann  and
M.S. Boldrick
C.N.J. Wagner
Affiliation:
Department of Materials Science and Engineering University of California, Los Angeles, CA 90024
B. Eigenmann
Affiliation:
Department of Materials Science and Engineering University of California, Los Angeles, CA 90024
M.S. Boldrick
Affiliation:
Department of Materials Science and Engineering University of California, Los Angeles, CA 90024
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Abstract

Residual stress measurements were made on a ground rail steel (0.75 %C) using the newly developed ϕ-integral method and the conventional ψ-differential method. The strains <εϕψ> were measured as a function of the azimuth angle ϕ, the angle of rotation about an axis perpendicular to the specimen surface, from 0° to 360° in steps of 15°, at fixed tilt angles ψ, the angle between the normals to the specimen surface and the reflecting planes (hkl), set between 0° and 45° in steps of 9°.

It was found that <εϕψ> plotted as a function of ϕ is not periodic with the period of 180° and consequently exhibits the so-called ψ-splitting when plotted as a function of sin2ψ at constant ϕ. The Fourier coefficients of the function <εϕψ> plotted versus ϕ were used to evaluate the strain tensor <εij> in the integral method. Assuming that isotropic elasticity theory is applicable, the stress tensor <σij> was calculated, and excellent agreement was found between the values determined with the ϕ integral and ψ-differential methods.

Type
III. X-Ray Stress/Strain Determination, Fractography, Diffraction, Line Broadening Analysis
Information
Advances in X-Ray Analysis , Volume 31: Thirty-Sixth Annual Conference on Applications of X-ray Analysis, August 3-7, 1987 , 1987 , pp. 181 - 190
Copyright
Copyright © International Centre for Diffraction Data 1987

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