Simple theory for the development of inhomogeneous rolling textures

A highly simplified model is used to describe the strain field in the rolling gap which allows location-dependent shear strains to be introduced into the plane strain field. Shear strains arising from surface friction can also be modeled, and the resultant combined tensor description permits rolling textures to be calculated by full-constraints Taylor theory. This combined friction and rolling zone geometry description successfully predicts the conditions under which distinct surface textures are expected to arise, along with depth-dependent effects in face-centered cubic (fcc) metals and alloys. The case of metals and alloys with low stacking fault energy (SFE) can only be successfully predicted from the theory by including deformation twinning, as well as slip, into the process of texture formation. A natural consequence of the theory is that the inclusion of shear components into the rolling geometry leads to a reduced rate of texture sharpening.