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238   •  Chapter 7    /    Dislocations and Strengthening Mechanisms

            Figure 7.22  The influence of annealing                   Annealing temperature (°F)
            temperature (for an annealing time of 1 h)          400    600     800    1000   1200
            on the tensile strength and ductility of   600                                         60
            a brass alloy. Grain size as a function of
            annealing temperature is indicated. Grain              Tensile strength
            structures during recovery, recrystalliza-                                             50
            tion, and grain growth stages are shown    500
            schematically.
            (Adapted from G. Sachs and K. R. Van Horn,                                             40
            Practical Metallurgy, Applied Metallurgy   Tensile strength (MPa)                          Ductility (%EL)
            and the Industrial Processing of Ferrous and
            Nonferrous Metals and Alloys, 1940.        400                                         30
            Reproduced by permission of ASM
            International, Materials Park, OH.)                       Ductility

                                                                                                   20
                                                       300
                                                           Recovery   Recrystallization  Grain growth
                                                 Cold-worked
                                                and recovered
                                                     grains

                                                                            New
                                                      0.040                grains
                                                    Grain size (mm)  0.030
                                                      0.020
                                                      0.010

                                                         100   200    300    400    500    600   700
                                                                      Annealing temperature (°C)

                                   Plastic deformation operations are often carried out at temperatures above the re-
                                crystallization temperature in a process termed hot working, described in Section 11.4.
                                The material remains relatively soft and ductile during deformation because it does not
                                strain harden, and thus large deformations are possible.


            Figure 7.23  The variation of recrystallization   900
            temperature with percent cold work for iron. For                                      1600
            deformations less than the critical (about
            5%CW), recrystallization will not occur.   800                                        1400
                                                      Recrystallization temperature ( C)  600     1200 Recrystallization temperature ( F)
                                                       700




                                                                                                  1000
                                                       500


                                                       400                                        800

                                                       300                                        600
                                                          0    10    20   30    40   50    60    70
                                                                         Percent cold work
                                                               Critical
                                                              deformation
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