Popis: |
The magnitude of the velocities of the three possible modes of elastic wave propagation are calculated for single crystal chromium, aluminum, and iron at intervals over all possible propagation directions and plotted to form wave velocity surfaces. These materials were chosen because they vary widely in isotropy factor as defined by Kittel [1]. Additionally, the energy flow vectors associated with each mode are found, allowing the angle between the energy flow vector and the propagation direction to be calculated. Energy flux deviation angles are then displayed on three dimensional polar plots to form three dimensional surfaces. The relative elastic anisotropy of these single crystals is compared graphically and quantitatively using isotropy factors. |