Diffraction elastic constants for the determination of stresses in textured cubic materials: An experimental test

Abstract

Abstract Previously derived relations between diffraction strains and (residual) stresses in textured materials are tested experimentally. The relations are based on the Voigt and Reuss models for elastic polycrystal coupling; crystallographic texture is incorporated by using the orientation distribution function (ODF). The tests are performed by applying known stresses to cold-rolled specimens mounted in a tensile device on an X-ray diffractometer. The ‘Hill average’ of the ODF-modified Reuss and Voigt expressions gives an accurate quantitative description of measured diffraction strains. As a consequence, the effect of crystallographic texture can be accounted for in diffraction stress determinations.