Neutron diffraction study of the residual stress state of a cold-rolled steel strip

Experimental and theoretical studies of the superposition of intergranular and macroscopic strains in Ni-based industrial alloys

“…This effect cannot be understood in terms of the type-1 stress field and so complicates the interpretation of the data. Similar deviations from linear sin 2 ⌿ behavior have also been demonstrated [4] in neutron diffraction experiments. The interpretation of residual strains from neutron diffraction also becomes ambiguous when different (hkl) reflections give strain distributions in a component that are quite different.…”

“…[3] cannot describe. It is often observed that the sin 2 ⌿ oscillations are particularly marked (for example, Reference [4]) when the texture is varying with the ⌿ angle, and it is often suggested that these two effects are causally related. However, the results presented previously [7] show that strong texture changes occur on plastic deformation corresponding to the reorientation of grains, and the results in Section C show that strong deviations from linear sin 2 ⌿ behavior are also generated by plastic deformation.…”

“…[3] are not constant but also depend slightly on and ⌿, and the law is not truly linear. Equation [4] describes the stress-strain relation for an elastically isotropic medium, and it explicitly acknowledges the crystallographic variation of the elastic moduli. The isotropy may originate in the underlying near isotropy of the elastic constants, as in the case of Al, or in the random texture of the aggregate.…”

“…Equations [3] and [4] are widely used to interpret diffraction experiments, but the assumptions involved in their derivation are frequently overlooked and limit their range of application. Equation [3], in the first place, assumes that the same strain tensor is ''read'' at different values of and ⌿ with a given (hkl ).…”

The Evaluation of the Distribution of Residual Stresses of the I. Kind (RS I) and of the II. Kind (RS II) in Textured Materials

“…In all these papers the elastic behaviour of a single crystal was employed using the results of Glocker (1938), Schiebold (1938), M6ller and Martin (1939 Vaessen, 1983 and confirmed the procedure on a broad basis. Furthermore calculations (Hauk and Vaessen, 1983) (Willemse et al, 1982 andNaughthon, 1985) to cold rolled steels Pintschovius et al, 1987 andFeja et al, 1987) to cold rolled nickel, aluminium-and copper-materials (Baron et al, 1987 andOudethoven, 1988) and to layers having electrolytefiber-textures (Baron and Hauk, 1988). Calculations on cold rolled steels can be found in .…”