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38    3  ·  Deformation Mechanisms
           3.6                                                  3.6
                                                                Recovery

                                                                Any crystal can be imagined to possess a certain amount
                                                                of ‘internal strain energy’, which is at its minimum when
                                                                the crystal lattice is free of dislocations. If we deform a
                                                                crystal and induce dislocations, we increase this internal
                                                                strain energy by local changes in the distance between
                                                                atoms; the increase in internal energy is proportional to
                                                                the increase in total length of dislocations per volume of
                                                                crystalline material, also known as the dislocation den-
                   Fig. 3.19. a Growth twins in plagioclase with steps. b Deformation
                   twins in plagioclase, with tapering edges nucleated on a high stress  sity. Dislocations and dislocation tangles are formed in
                   site at the edge of the crystal              response to imposed differential stress (Figs. 3.13, 3.24).
                                                                Other processes tend to shorten, rearrange or destroy the
                                                                dislocations. Vacancies can migrate towards dislocation
                                                                tangles and straighten the blocked sections, thus anni-
                                                                hilating the tangles; bent dislocations can straighten, and
                                                                dislocations can be arranged into networks. These proc-
                                                                esses can decrease the total dislocation length and hence
                                                                the internal strain energy of crystals and will therefore
                                                                operate following the thermodynamic principle to mini-
                                                                mise total free energy in a system. During deformation,
                                                                dislocation generation and annihilation mechanisms will
                                                                compete while after deformation stops, dislocation an-
                                                                nihilation mechanisms progress towards an equilibrium
                                                                situation with the shortest possible length of dislocations




































                                                                Fig. 3.21a–c. Schematic illustration of the recovery process. a Dislo-
                   Fig. 3.20. Twin boundary migration recrystallisation in calcite can  cations distributed over the crystal give rise to undulose extinction.
                   sweep whole crystals by migration of twin boundaries. Grain  b Recovery causes concentration of dislocations in deformation
                   boundaries are not affected by this recrystallisation mechanism  bands and eventually c in a subgrain boundary (tilt wall)
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