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572      Chapter 21  Fundamentals of Machining

                                      ° Increased heat causes uneven dimensional changes in the part being machined,
                                        making it difficult to control its dimensional accuracy and tolerances.
                                      ° An excessive temperature rise can induce thermal damage and metallurgical
                                        changes in the machined surface, adversely affecting its properties.

                                        From the preceding sections, it can be seen that the main sources of heat in ma-
                                   chining are: (a) the work done in shearing in the primary shear zone, (b) energy dissi-
                                   pated as friction at the tool-chip interface, and (c) heat generated as the tool rubs
                                   against the machined surface, especially for dull or worn tools. Much effort has been
                                   expended in establishing relationships among temperature and various material and
                                   process variables in cutting. A comprehensive expression for the mean temperature,
                                   Tmean, in orthogonal cutting is

                                                              = __1__       3 V
                                                                0 0oo665Y
                                                             T      pc       _L ,                   (  21.19 3)
                                                                             K0
                                   where the mean temperature is in K, Yf is the flow stress in MPa, pc is the volumet-
                                   ric specific heat in k]/m3 - K and K is the thermal diffusivity (ratio of thermal con-
                                                                      2
                                   ductivity to volumetric specific heat) in m /s. Because the material parameters in this
                                   equation depend on temperature, it is important to use appropriate values that are
                                   compatible with the predicted temperature range. It can be seen from Eq. (21.19a)
                                   that the mean cutting temperature increases with workpiece strength, cutting speed,
                                   and depth of cut, and decreases with increasing specific heat and thermal conduc-
                                   tivity of the workpiece material.
                                        An expression for the mean temperature in turning on a lathe is given by

                                                                 Tmean ‘X V“fb,                     <21-19b)
                                   where V is the cutting speed and f is the feed of the tool, as shown in Fig. 21.2.
                                   Approximate values of the exponents a and b are a = 0.2 and b = 0.125 for
                                   carbide tools and a = 0.5 and b = 0.375 for high-speed steel tools.

                                                       Temperature Distribution.  Because the sources of heat gen-
                                                       eration in machining are concentrated in the primary shear
                                                       zone and at the tool-chip interface, it is to be expected that
                Chip                                   there will be severe temperature gradients in the cutting zone.
                                      Temperature (OC)  A typical temperature distribution is shown in Fig. 21.12.
                                                       Note the presence of severe gradients and that the maximum
                                                       temperature is about halfway up the tool-chip interface.
                                                       From the preceding discussions, it will be apparent that the
                                                       particular temperature pattern depends on several factors per-
                                         Tool          taining to material properties and cutting conditions, includ-
                                                       ing the type of cutting fluid (if any) used during machining.
                                                            The temperatures developed in a turning operation on
                                                       52100 steel are shown in Fig. 21.13. The temperature distri-
                                                       bution along the flank surface of the tool is shown in
                                                       Fig. 21.13a, for V = 60, 90, and 170 m/min, respectively, as
                                                       a function of the distance from the tip of the tool. The tem-
          Workpiece
                                                       perature distributions at the tool-chip interface for the same
          FIGURE 2l.l2  Typical temperature distribution in the  three cutting speeds are shown in Fig. 21.13b as a function
         Cutting Zong Note the Severe temperature gradients  of the fraction of the contact length. Thus, zero on the
         within the tool and the chip, and that the workpiece is  abscissa represents the tool tip, and 1.0 represents the end of
          relatively cool. Source: After G. Vieregge.  the tool-chip contact length.
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