Depth-resolved X-ray residual stress analysis on samples with cylindrically shaped surface topography

Klaus, M.; Apel, D.; Boin, M.; Wimpory, R.; Genzel, C.

doi:10.1107/S1600576726007302

Figure 8
The transverse contraction method. (a) ED diffraction under ψ = 0. (b) Diffraction elastic constant S^hkl₁ of ferritic steel as a function of the orientation factor 3Γ^hkl = 3(h²k² + k²l² + l²h²)/(h² + k² + l²)² including the reflections hkl marked in panel (a). V, R and W stand for, respectively, the grain interaction models of Voigt (homogeneous strain; Voigt, 1910

) and Reuss (homogeneous stress; Reuss, 1929

) and a model that weights between Voigt and Reuss. (c) Position of the lattice strains $[\varepsilon^{hkl}_{\psi = 0}]$ on the ordinate axis of the sin²ψ diagram. (d) Plot of the lattice strain differences (indicated by squares, triangles etc.) versus Δ3Γ according to equation (13). For further details see the main text.

JOURNAL OF
APPLIED
CRYSTALLOGRAPHY

ISSN: 1600-5767

Volume 59| Part 5| October 2026|

https://doi.org/10.1107/S1600576726007302

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