Glide in Perfect Single Crystals

Relativistic Effects. Consider the relatively simple case of a screw dislocation moving along x at the constant velocity v (see Fig. 11.3). The elastic displacements, Mi, U2, and U3, around such a dislocation may be determined by solving the Navier equations of isotropic linear elasticity [3]. 5 For this screw dislocation, the only nonzero displacements are along 2, and for the moving dislocation the Navier equations therefore reduce to 

4See Appendix C for a brief survey of mathematical relations for curves and surfaces. 5See standard references on dislocation mechanics [2, 4, 5], 

Equation 11.13 is readily solved after making the changes of variable 

6Further discussion of this can be found in Hirth and Lothe [2], 

Another quantity of interest is the velocity dependence of the energy of the dislocation. The energy density in the material around the dislocation, w, is the sum of the elastic strain-energy density and the kinetic-energy density, 

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