Calculation of the effect of texture on the Snoek peak height in steels

Contrary to the effect of substitutional atoms and grain size, the influence of crystallographic texture on the Snoek peak height of carbon and nitrogen in internal damping experiments rarely has been considered quantitatively. Therefore, in this paper the orientation dependence of the Snoek peak height (Q(max)(-1)) of carbon and nitrogen is calculated both for the very popular torsion pendulum (operating at about 1 Hz) and for the recently developed Automated Piezoelectric Ultrasonic Composite Oscillator Technique (APUCOT), working with longitudinal resonation at 40kHz. The distribution function of the calculated proportionality factor K-Q (=Q(max)(-1)/C-i; C-i is the interstitial concentration) is represented in the Euler space, facilitating not only the interpretation of the results, but also the calculation of K-Q for experimentally measured textures. The latter can be done by making the convolution product of the orientation distribution function (ODF) of the measured texture and the distribution function of K-Q. The K-Q-values of the most important texture components and fibers of low carbon steels are calculated and compared with the ranges of the experimentally determined proportionality factors found In the literature for anelastic relaxation by carbon and nitrogen atoms.