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Published online by Cambridge University Press: 06 March 2019
Crystallographic texture induces an anisotropic mechanical behavior of the poly-crystal, so that the current analysis of the macro residual stress by X-ray diffraction cannot be used, because the lattice-stram distribution versus sin2(φ) presents a non-linear behavior. In order to take into accountthe influence of the texture, several authors have proposed theoretical explanations using the orientation distribution function. Many of them use the ODF to calculate the X-ray elastic constants, another one uses Bunge's texture representation to obtain analytical expressions of the strain for textured specimens.