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          50       Chapter 1  The Structure of Metals


                                    l.6   Plastic Deformation of Polycrystalline Metals
                                    When a polycrystalline metal with uniform eqniaxed grains (grains having equal
                                    dimensions in all directions) is subjected to plastic deformation at room tempera-
                                    ture (a process known as cold working), the grains become deformed and elongat-
                                    ed, as shown schematically in Fig. 1.11. Deformation may be carried out, for
                                    example, by compressing the metal piece, as is done in a forging operation to make
                                    a turbine disk (Chapter 14) or by subjecting it to tension, as is done in stretch form-
                                    ing of sheet metal to make an automobile body (Chapter 16). The deformation
                                    within each grain takes place by the mechanisms described in Section 1.4 for a
                                    single crystal.
                                         During plastic deformation, the grain boundaries remain intact and mass conti-
                                    nuity is maintained. The deformed metal exhibits higher strength, because of the
                                    entanglement of dislocations with grain boundaries and with each other. The increase
                                              in strength depends on the degree of deformation (strain) to which the
                                              metal is subjected; the higher the deformation, the stronger the metal be-
                                              comes. The strength is higher for metals with smaller grains, because
           > * *  1        @5315              they have a larger grain-boundary surface area per unit volume of metal
           =,=,=           zfzfzw              and hence more entanglement of dislocations.


                                               Anisotropy (Texture).  Note in Fig. 1.11b that, as a result of plastic
                                               deformation, the grains have elongated in one direction and contract-
                                               ed in the other. Consequently, this piece of metal has become
              <a>               <b>
                                               anisotropic, and thus its properties in the vertical direction are differ-
                                               ent from those in the horizontal direction. The degree of anisotropy
           FIGURE l.ll  Plastic  deformation  of  depends on the temperature at which deformation takes places and on
           idealized (equiaxed) grains in a specimen
           subjected to compression (such as occurs in  how uniformly the metal is deformed. Note from the direction of the
           the forging or rolling of metals): (a) before  crack in Fig. 1.12, for example, that the ductility of the cold-rolled
           deformation; and (b) after deformation.  sheet in the transverse direction is lower than that in its rolling direc-
           Note the alignment of grain boundaries  tion. (See also Section 16.5.)
           along a horizontal direction; this effect is  Anisotropy influences both mechanical and physical properties
           known as preferred orientation.     of metals, described in Chapter 3. For example, sheet steel for electri-
                                               cal transformers is rolled in such a way that the resulting deformation
                                                   1  .,..          imparts anisotropic magnetic properties to
                    Top Vlew                                        the sheet. This operation reduces magnetic-
                             B0llllf‘Q                              hysteresis losses and thus improves the effi-
              Crack  dlrecllon                  ,,,__               Ciency of transformers. (See also amorphous
                                                "=                  alloys, Section 6.14.) There are two general
                          i
                               I            V ”               VQ    types of anisotropy in metals: preferred ori-

                                                     “r"'
            Sheet                                                   entation and mechanical fibering.
                  `>'i  "'i `      ‘                ‘i   " '    S   Preferred Orientation.  Also called crystal-
                    Side View
                                                                    lographic anisotropy, preferred orientation
                      (a)                          (b)              can  be  best described  by  referring  to
                                                                    Fig. 1.5a. When a single-crystal piece of metal
                                                                    is subjected to tension, the sliding blocks ro-
           FIGURE |.I2  (a) Schematic illustration of a crack in sheet metal that  tate toward the direction of the tensile force;
           has been subjected to bulging (caused, for example, by pushing a steel  as a result, slip planes and slip bands tend to
           ball against the sheet). Note the orientation of the crack with respect
                                                                    align themselves with the general direction of
           to the rolling direction of the sheet; this sheet is anisotropic. (b)
           Aluminum sheet with a crack (vertical dark line at the center)  deformation. Similarly, for a polycrystalline
           developed in a bulge test; the rolling direction of the sheet was  metal, with grains in random orientations, all
           vertical. Courtesy: ].S. Kallend, Illinois Institute of Technology.  slip directions tend to align themselves with
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