Plastic incompatibility second-order stresses were determined for different orientations of a polycrystalline grain, using X-ray diffraction data and results of the self-consistent elasto-plastic model. The stresses in cold rolled ferritic steel were determined both in as-received and under tensile loaded conditions. It has been shown that the Reuss model and the self-consistent model applied to near surface volume provide the best approaches to determine diffraction elastic constants. For the first time, the elastic energy in an anisotropic material (arising from plastic incompatibilities between grains having various lattice orientations) has been determined. The second-order incompatibility stresses and stored elastic energy are presented in Euler space. research papers J. Appl. Cryst. (2008). 41, 854-867 A. Baczmanski et al. Stresses and elastic energy in ferritic steel 855
A systematic review of different types of traditional averages for diffraction elastic constants in textured materials is given. In addition a new type of average, which recently was suggested, is presented. These averages are of vital importance for a correct interpretation of internal (e.g. residual) stress measurements.The theoretically predicted diffraction elastic constants are compared with the experimental ones for rolled steel samples; there exists good agreement between theory and experiment.On prksente une revue systematique des moyennes traditionelles utilisees pour le calcul des constants klastiques de diffraction dans le cas des materiaux avec la texture cristalline. On presente aussi une nouvelle moyenne, recemment proposee. Ces moyennes sont tres importantes pour une interpretation correcte des mesures de contraintes internes (p.ex. contraintes rksiduelles).Les constants klastiques de diffraction calcules sont comparks avec ceux mesurkes pour I'acier lamink: l'accord est trks bon.
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