Orientation dependence of the dislocation segment vibration spectrum

Abstract

Dependences of the dislocation segment vibration eigenfrequencies and the damping coefficients on the angle between the dislocation line and its Burgers vector are found. For the ratio of the transverse sound waves velocity to the longitudinal sound waves velocity, the value 1/2 was used, the different lengths of the dislocation segment were considered. When calculating and plotting the dependency curves, the normalized values of the eigenfrequencies, damping coefficients, and lengths of the dislocation segment were used. The normalized values of the eigenfrequencies and damping coefficients for different frequency numbers by equating the inverse matrix of dislocation oscillators generalized susceptibilities to zero were found. At large values of the dislocation segment normalized lengths, sharp changes in the frequencies values with numbers 5 and more were observed on the orientation dependence graphs. To explain this, the surface level of the real and the imaginary part of the inverse generalized susceptibility built.