On "radiation-free" states in transient motion of dislocations

Markenscoff, Xanthippi
January 2001
Applied Physics Letters;1/22/2001, Vol. 78 Issue 4, p440
Academic Journal
The existence of "radiation-free" states in transient motion of dislocations is investigated. By analyzing an edge dislocation jumping from rest to a supersonic speed, we see that the Mach fronts disappear at v[sub d]= √2c[sub 2] because at this dislocation velocity, the pole singularity in the complex plane is replaced by a removable one. However, there exist radiated stress waves propagating with velocity c[sub 2], as well as c[sub 1]. Also, due to radiated longitudinal waves, there is a "force" required to be supplied to sustain such a motion.


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