Page 241 - Fiber Fracture
P. 241

STRENGTH AND FRACTURE OF METALLIC FILAMENTS                         225

                         250
                       t
                       -
                         200
                       2
                       z

                       z
                       u   150
                       v1

                       5  100


                          50
                             1         loz        io4        1 o6       lo8
                                     Number of cycles to rupture
              Fig. 40. S-N  curves for large-grained (bamboo structure) Cu wires with diameters of 95, 50 and 30 Iim.


             (Fig. 35 left). A closer observation of the fracture surface of the thick wire also reveals
             striations that result from the crack propagation. The wire surface after failure was very
             rough, showing extrusions and  open  micro-cracks (Fig.  36 left). This contrasts with
             observations on  the thin wire.  Here the fracture surface resembles those obtained in
             tensile tests, where necking goes down to one line and shear offsets cover the surface.
             There were no extrusions or micro-cracks visible.
               Similar tests were made with foils that contained only one grain trough the thickness
             but  about 20 in the width  (2 mm). This state was obtained by  vacuum annealing for
             4 h at 700 to 800°C. This treatment drastically changed the texture. The well known
             Cu rolling texture observed on our samples prior to recrystallization (fatigue curve d25
             rolled in Fig. 39) changed to an almost perfect orientation of the cubic axes along the
             rolling direction and perpendicular to the  sheet ((100) [OOl]  orientation). In  order to
             prevent damaged surfaces, chemical machining was used to prepare the dog-bone-like
             fatigue specimens with a gauge section of 2 to 4 mm length and 2 mm width. Two sets
             of samples with different thickness were been prepared. One set with 100 pm thickness
             was obtained from foils rolled to this thickness. The second set with 20 pm thickness
             was made from the same foils by chemical machining. This guarantees that both sets
             have exactly the same microstructure. Results of  fatigue tests that were made in the
             stress-controlled tension-tension  loading mode at 70 Hz are shown in Fig. 41.  Even
             though with a factor of  ten, the difference in fatigue life between the two sets is not
             as big as for the wires, the thinner foils have again a better fatigue resistance than the
             thicker ones.  As expected also the dispersion of  the individual results is with  half  a
             decade somewhat smaller than for the wires.
               Obviously, these experimental findings raise the  question of  what happens on  the
             microscopic level. In fact, considerable progress has been made in recent years in our un-
             derstanding of the physical origin of fatigue. In particular, a great number of fundamental
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