The energy per unit length of a dislocation is ½ Gb2. Dislocations dilate a close packed crystal structure very slightly, because at their cores the atoms are not close packed: the dilatation is ¼b2 per unit length of dislocation. It is found that the density of a bar of copper changes from 8.9323 Mg m–3 to 8.9321 Mg m–3 when it is very heavily deformed. Calculate:
a. the dislocation density introduced into the copper by the deformation.
b. the energy associated with that density. Compare these results with the latent heat of melting of copper (1833 MJ m–3) (b for copper is 0.256 nm; G is 3/8 E).
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