Page 359 - 04. Subyek Engineering Materials - Manufacturing, Engineering and Technology SI 6th Edition - Serope Kalpakjian, Stephen Schmid (2009)
P. 359

Section 14.3  Impression-die and Closed-die Forging


              Forging Force.  The forging force, F, in an open-die forging operation on a solid
              cylindrical workpiece can be estimated from the formula
                                                  1 + %
                                                      2
                                        F = Yfvrrz          ,                    (14.1)

              where Yf is the flow stress of the material (see Example 14.1), /,L is the coefficient of
              friction between the workpiece and the die, and r and /1 are, respectively, the instan-
              taneous radius and height of the workpiece. (Derivations of this formula and of
              others for various forging processes are given in references listed in the bibliography
              at the end of the chapter.)




               EXAMPLE l4.| Calculation of Forging Force in Upsetting

               A solid cylindrical slug made of 304 stainless steel is  the workpiece has undergone at the end of the stroke
               150 mm in diameter and 100 mm high. It is reduced  in this operation is
               in height by 50% at room temperature by open-die                      100
               forging with flat dies. Assuming that the coefficient of      s - ln( 50 > - 0.69.
               friction is 0.2, calculate the forging force at the end of
               the stroke.                                      We can determine the flow stress by referring to
                                                                Eq. (2.8) and noting from Table 2.3 that, for 304 stain-
                                                                less steel, K = 1275 MPa and n = 0.45. Thus, for a
               Solution: The forging force at the end of the stroke is
                                                                true strain of 0.69, the flow stress is calculated to be
               calculated using Eq. (14.1), in which the dimensions
                                                                1100 MPa. Another method is to refer to Fig. 2.6 and
               pertain to the final dimensions of the forging. Thus,  note that the flow stress for 304 stainless steel at a true
               the final height is lv = 100/2 = 50 mm, and the final
                                                                strain of 0.69 is about 1000 MPa. The small difference
               radius, r, is determined from volume constancy by  between the two values is due to the fact that the data
               equating the volumes before and after deformation.
                                                                in Table 2.3 and Fig. 2.6 are from different sources.
               Hence,
                                                                Taking the latter value, the forging force now can be
                                                                calculated, noting that in this problem the units in Eq.
                        (1f)(75)2(100) = (ff)(f)2(50)-
                                                                (14.1) must be in N and ni. Thus,
               Therefore, r = 106 mm.                           P = (1o0o>(1o6)(¢f>(o.1o6)2(1> +-----
                    The quantity Yf in Eq. (14.1) is the flow stress of                         (2)(0.2)(0.106)
               the material, which is the stress required to continue                              (3)(o.oso)
               plastic deformation of the workpiece at a particular
               true strain. The absolute value of the true strain that      = 4.5  >< 107N = 45 MN.





              14.3    Impression-die and Closed-die Forging

              In impression-die forging, the workpiece takes the shape of the die cavity while
              being forged between two shaped dies (Figs. 14.5a through c). This process usually
              is carried out at elevated temperatures to lower the required forces and attain en-
              hanced ductility in the workpiece. Note in Fig. 14.5c that, during deformation, some
              of the material flows outward and forms a flash. The flash has an important role in
              impression-die forging: The high pressure and the resulting high frictional resistance
              in the flash presents a severe constraint on any outward flow of the material in the
              die. Thus, based on the principle that in plastic deformation the material flows in
              the direction of least resistance (because it requires less energy), the material flows
              preferentially into the die cavity, ultimately filling it completely.
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