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7.4 Slip Systems  •  221


                               C                  C                      Figure 7.5  (a) Two edge dislocations
                                                                         of the same sign and lying on the same
                                      Repulsion                          slip plane exert a repulsive force on
                                                                         each other; C and T denote compres-
                                                                         sion and tensile regions, respectively.
                                                                         (b) Edge dislocations of opposite sign
                                                                         and lying on the same slip plane exert
                                                                         an attractive force on each other. Upon
                               T                  T                      meeting, they annihilate each other and
                                       (a)
                                                                         leave a region of perfect crystal.
                                                                         (Adapted from H. W. Hayden,
                C                   T
                                                                         W. G. Moffatt, and J. Wulff, The Structure
                                                             Dislocation  and Properties of Materials, Vol. III, Mechani-
                        Attraction                           annihilation
                                                                         cal Behavior, p. 75. Copyright © 1965 by
                                                                         John Wiley & Sons, New York.)
                                         ;       +         =
                                                           (Perfect crystal)
                T                   C
                                       (b)




              7.4  SLIP SYSTEMS
                                 Dislocations do not move with the same degree of ease on all crystallographic planes
                                 of atoms and in all crystallographic directions. Typically, there is a preferred plane,
                                 and in that plane there are specific directions along which dislocation motion occurs.
                                 This plane is called the slip plane; it follows that the direction of movement is called
                                 the slip direction. This combination of the slip plane and the slip direction is termed
              slip system        the  slip system.  The slip system depends on the crystal structure of the metal and
                                 is such that the atomic distortion that accompanies the motion of a dislocation is a
                                 minimum. For a particular crystal structure, the slip plane is the plane that has the
                                 densest atomic packing—that is, has the greatest planar density. The slip direction
                                 corresponds to the direction in this plane that is most closely packed with atoms—that
                                 is, has the highest linear density. Planar and linear atomic densities were discussed in
                                 Section 3.11.
                                    Consider, for example, the FCC crystal structure, a unit cell of which is shown in
                                 Figure 7.6a. There is a set of planes, the 51116 family, all of which are closely packed.
                                 A (111)-type plane is indicated in the unit cell; in Figure 7.6b, this plane is positioned



                    A                                              Figure 7.6  (a) A 5111681109 slip system
                                                                   shown within an FCC unit cell. (b) The (111)
                                                                   plane from (a) and three 81109 slip directions
                                                   A
                           C                                       (as indicated by arrows) within that plane
                B                                                  constitute possible slip systems.
                                                B      C

                                  F
                         E                   D     E    F
              D
                        (a)                       (b)
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