Page 46 - Corrosion Engineering Principles and Practice
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                      FIGURE 2.5  Visual description of various grain ASTM grain sizes.

                         Grain  size  has  an  important  effect  on  physical  properties.  For
                      service at ordinary temperatures it is generally considered that fine-
                      grained steels give a better combination of strength and toughness,
                      whereas  coarse-grained  steels  have  better  machinability.  The  Hall-
                      Petch relation in Eq. (2.2) describes the relation between the grain size
                      and the yield strength of a material. This relation indicates that the
                      smaller the grain size of a metal, the stronger it is and the higher its
                      yield strength.
                                                    k y
                                            σ =  σ +                        (2.2)
                                             y
                                                 0
                                                     d
                      where k  is a constant specific to a material, σ  is another constant
                                                              0
                             y
                      related to the starting stress for dislocation movement, d is the grain
                      diameter, and σ  is the yield strength.
                                   y
                         In addition to the influence of impurities, inclusions, and cold
                      work, grain boundaries and differences in grain orientation may also
                      result  in  significantly  different  electrochemical  reactivity  in  many
                      metals and alloys. When an alloy is cooled somewhat rapidly, the
                      grain  boundaries  may  end  up  having  a  composition  significantly
                      different than the grain core. This variation in chemical composition
                      from  the  interior  to  the  exterior  of  a  grain  is  referred  to  as
                      microsegregation or coring. The dendrites quite visible in Fig. 2.6(a)
                      are typical to the microsegregation associated with nonequilibrium
                      solidification.  The  same  alloy,  that  is,  70-Ni  30-Cu  (N04400)  (also
                      known as Monel 400), would normally have in its hot rolled form the
                      crystalline grain structure revealed in Fig. 2.6(b).
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