Theoretical treatment of the nonlinear anelastic internal friction peaks appearing in the cold-worked Al-based solid solutions

Abstract

The longitudinal and transverse diffusion equations of solute atoms along the dislocation core formulated based on the dislocation kink model are solved with the numerical difference method. The theoretical internal friction and modulus defect curves versus temperature and strain amplitude were calculated for the nonlinear anelastic internal friction peaks (${P}_{0},$ ${P}_{1}^{\ensuremath{'}},$ and ${P}_{1}^{\ensuremath{''}}$ peaks). The manifestations of these curves are compared with the experimental results previously obtained in cold-worked Al-Mg and Al-Cu solid solutions around room temperature.