4. Conclusion

It's only since the 1980s that the study of crystallographic textures has become widespread in university and industrial materials research laboratories. The study of crystallographic textures requires a fairly abstract theoretical formalism, calling on, among other things, the rotation group, powerful numerical computing resources for calculating orientation density functions – or texture functions – and their evolution with phase transformation and/or plastic deformation, as well as specialized equipment for experimental texture determination. In addition to X-ray diffractometers equipped with Euler cradles, we now use electron diffraction techniques to determine orientations using electron microscopy. The anisotropic properties of polycrystalline materials are the average values of single-crystal properties, the calculation of the average value requiring a more or less elaborate micro-macro...