Modelling deformation texture formation by orientation flow fields

Model calculations of the development of straight and cross‐rolling textures were carried out. The texture is represented in terms of a series of expansions. The changes of the texture coefficients by a small deformation step can be expressed in terms of the coefficients themselves multiplied by a texture change matrix [α]. Integration over the deformation degree η from any starting texture thus gives the deformation texture formation. In the present calculations, the fully constrained Taylor model was used (but other models can equally well be chosen). This model has no unique solutions for most orientations, i.e. it allows several different orientation changes for the same starting orientation. It was shown that this effect is essential in order to obtain model textures which do not only agree in type but also in magnitude with experimental textures.