Variation of Emission with Unstable Stacking Fault

The functionality for can also be linked to the Thomson/Carlsson form[]. Two plots are displayed for as a function of for fixed . In Figure , results are shown for in the range of the lower shelf of Fig. for the case of UBER with an elastic mismatch of 2/1. It shows a roughly linear dependence, although there is an apparent nonzero intercept for , a nonphysical result. But the rough dependence is linear, as proposed by Rice[] and by Thomson and Carlsson[]. A more interesting case is shown in Fig. , where is plotted as a function of at a value of in the middle of the linear range of Fig. for the elastic mismatch 2/1. For ``rising'' values of , the plot is again nicely linear, in accord with Thomson and Carlsson, however, for ``decreasing'' values of , there is a kind of hysteresis, and the emission function is not a unique single valued function of . The terms ``rising'' and ``decreasing'' relate to the form of the unstable stacking fault function. Figure shows the unstable stacking fault function for UBER as a function of the range parameter, . This function rises sharply for small values of , goes through a maximum and decays slowly back to zero for large values of . The ``rising'' points in Fig. correspond to the values of to the left of the maximum, while the ``decreasing'' points correspond to the values of to the right of the maximum. The hysteretic behavior occurs in the middle of the plot, and shows a maximum deviation from a linear law of about 1.4.