Non-linear diffraction strainvssin²ψ phenomena in specimens exhibiting rolling-type texture

Abstract

Non-linearities in measured diffraction strains are frequently observed in textured materials. For the case of textured cold-rolled low-carbon steel sheet specimens the diffraction strain is analysed in its constituents: single-crystallite strain and the orientation distribution function of the crystallites. With only macro-stresses 0.~ and 0"2 taken into account, a satisfactory explanation of practical measurements on these steel specimens is obtained.

A model for calculating diffraction elastic constants

“…As shown previously (Barral et al, 1987;Brakman & Penning, 1988;Dö lle et al, 1977Dö lle et al, , 1978Baczmanski et al, 1993;Dö lle, 1979;Hauk, 1997;Pina et al, 1997;Van Houtte & De Buyser, 1993), the quantity that is measurable by diffraction is that which is in the direction of the z axis of an intermediate reference frame. The z axis of this intermediate coordinate system is parallel to both the direction given by the tilt and azimuth angles ( , ') in the specimen coordinate system and the direction h [normal to the diffracting lattice planes (hkl)] in the fixed crystal coordinate system.…”

“…DECs are orientation-selective averages over a subset of all grains, and therefore these dependencies remain valid to a degree. Thirdly, it is known from various experimental results (Barral et al, 1987;Brakman & Penning, 1988;Dö lle et al, 1977Dö lle et al, , 1978Baczmanski et al, 1993;Dö lle, 1979;Hauk, 1997) that preferred orientation of grains can have a profound effect on the magnitude and orientation dependence of DECs. Consequently, one should expect that DECs themselves depend on these factors.…”

Multiaxial constitutive behavior of an interstitial-free steel: Measurements through X-ray and digital image correlation

“…Additional details of stress factors and diffraction elastic constants are available in Refs. [14,15,22,25]. The computational realization of the stress analysis used in this work is available in DiffStress package [26].…”

Residual stress in ceramics with large thermal expansion anisotropy

“…27,[29][30][31][32] As a result, the relation between d fc and sin 2 c is not linear; rather, d fc vs sin 2 c will oscillate about a line that describes the macrostress. These oscillations are essentially the superposition of the textured-induced microstresses and the linear macrostresses, as shown in Fig.…”