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246   •  Chapter 7    /    Dislocations and Strengthening Mechanisms


             Iron–Carbon Alloys         Recrystallization                 Normalizing
             (Steels) (Processing)        (Chapter 7)                     (Chapter 11)
                                         Annealing temperature (°F)   1000
                                             600  800
                                      600              60
                                                                      900                         A cm
                                          Tensile strength                         Normalizing
                                                       50                                     Full annealing
                                     Tensile strength (MPa)  40 Ductility (%EL)  Temperature (°C)  800  A 1
                                      500
                                                                           A 3
                                                                      700
                                      400
                                            Ductility  30
                                                       20             600
                                                                         0  0.2  0.4  0.6  0.8  1.0  1.2  1.4  1.6
                                      300
                                            Recrystallization                     Composition (wt% C)


                                       200  300  400  500
                                         Annealing temperature (°C)



            Important Terms and Concepts
            cold working                     recovery                            slip system
            critical resolved shear stress   recrystallization                   solid-solution strengthening
            dislocation density              recrystallization temperature       strain hardening
            grain growth                     resolved shear stress
            lattice strain                   slip





            REFERENCES

            Argon, A. S., Strengthening Mechanisms in Crystal Plasticity,   Read, W. T., Jr., Dislocations in Crystals,  McGraw-Hill, New
                Oxford University Press, New York, 2008.       York, 1953.
            Hirth, J. P., and J. Lothe, Theory of Dislocations, 2nd edition,   Weertman, J., and J. R. Weertman, Elementary Dislocation
                Wiley-Interscience, New York, 1982. Reprinted by  Theory, Macmillan, New York, 1964. Reprinted by Oxford
                Krieger, Malabar, FL, 1992.                    University Press, New York, 1992.
            Hull, D., and D. J. Bacon, Introduction to Dislocations, 5th
                  edition, Butterworth-Heinemann, Oxford, 2011.




            QUESTIONS AND PROBLEMS
               Problem available (at instructor’s discretion) in WileyPLUS
            Basic Concepts                                     far (in miles) would this chain extend? Now sup-
                                                                                               9
                                                                                                    2
            Characteristics of Dislocations                    pose that the density is increased to 10  mm  by
            7.1  To provide some perspective on the dimensions   cold working. What would be the chain length of
                                                                                   3
                of atomic defects, consider a metal specimen   dislocations in 1000 mm  of material?
                                               2
                                          5
                with a dislocation density of 10  mm . Suppose   7.2  Consider two edge dislocations of opposite sign
                                                  3
                                             3
                that all the dislocations in 1000 mm  (1 cm ) were   and having slip planes separated by several atomic
                somehow removed and linked end to end. How     distances, as indicated in the following diagram.
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