Treatment of Elastic and Plastic Anisotropy of Polycrystalline Materials with Texture

摘要

One of Professor Bunge's great contributions to materials science is his continuous effort to promote the use of quantitative texture analysis, not in the least in a series of applications which are of high interest to materials engineering. In this, Professor Bunge has often drawn the attention to the great possibilities offered by the harmonic method. This is mainly due to two powerful formulas based on C-coefficients, one for the calculation of the average of a crystal orientation-dependent property, and one for re-expressing an ODF in a rotated reference frame. The application of these formulas often allows to greatly reduce the required calculation time. All this will be illustrated by means of several examples of the implementation of texture-based anisotropy in engineering applications: 1. the calculation of r-values of sheet material; 2. the calculation of yield loci of textured materials; 3. the calculation of effective elastic moduli of textured materials; 4. the determination of residual stresses in textured materials on the basis of diffraction data.