Evaluating the 〈111〉, 〈110〉, and 〈001〉 slip directions of the B2 intermetallic by way of anisotropic elasticity theory

Abstract

Based on anisotropic elasticity theory, general expressions for the fault width as a function of character angle, fault energy, and the direction and magnitude of the partials that form the fault, are developed for the $〈111〉\left\{110\right\}$, $〈110〉\left\{110\right\}$, and $〈001〉\left\{110\right\}$ slip systems of the $B2$ intermetallic. Ultimately, we find that only $〈111〉\left\{110\right\}$ form well defined partials, while $〈110〉\left\{110\right\}$ and $〈001〉\left\{110\right\}$ dislocations remain diffuse. Additionally, for almost all $B2$ intermetallics studied here, the behavior of the fault widths as a function of character angle deviates significantly from isotropic elasticity theory. Based on these findings, line energy calculations are also performed, and the relative importance of the $〈111〉\left\{110\right\}$, $〈110〉\left\{110\right\}$, and $〈001〉\left\{110\right\}$ slip systems within the family of $B2$ intermetallics are discussed.