Fig. 12

Left: cross slip annihilation function f_ann of total dislocation density in CDD⁽¹⁾ plotted in polar coordinates with the first dislocation moment M⁽¹⁾ as distance to the origin and the GND angle φ _ρ . The equivalent Cartesian coordinates are the screw and edge components of the normalized GND vector \(\widehat {\boldsymbol {\rho }}^{(1)}={\boldsymbol {\rho }}/\rho \). Middle: analytical approximation of the annihilation rate \(f_{\text {cs}}=({\widehat {\rho }_{1}})^{2}\cos ^{2}\left (\frac {\pi |{\boldsymbol {\rho }}| }{2\rho }\right)+({\widehat \rho _{2}})^{2}\)\(\left (1-\left (\frac {|{\boldsymbol {\rho }}|}{\rho }\right)^{2}\right)\). Right: the absolute error of the approximation