The motion of dislocations at velocities approaching the speed of sound is considered. An equation of motion with a velocity-dependent thermodynamic force is presented. An expression for the effective mass of the dislocation that can be used in the equation of motion is derived. The expression for the effective mass reduces to the standard result in the low-velocity limit. Other possible choices for the effective mass are discussed.
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Hirth et al. (1998) studied this question.
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