Page 26 - Fiber Fracture
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FIBER FRACTURE: AN OVERVIEW                                           11






















            Fig.  5. A  scanning electron micrograph of  pitch-based  carbon  fibers.  Note  the  surface striations and  the
            roughness at a microscopic scale.

                               6.5




                             2 6.0
                             (3
                             W
                             C  -
                               5.5




                               5.0



                               4.5  1    1       *       L
                                              In  d, (pm)
                                 I   1      1      k    I   L    1
                                     5      6     7   8   9   1  0
                                                d, vn
            Fig. 6. A log-log  plot of  Young’s modulus as a function of carbon fiber diameter for three different carbon
            fibers  (after Huttinger,  1990). The curves  follow  the  expression  (E/&)  = (do/d)”  where  E  is  Young’s
            modulus of the commercial carbon fiber of  diameter d while Eo  is the theoretical Young modulus and do  is
            the fiber diameter corresponding to EO. The exponent, n obtained from the slope of  the straight lines in this
            figure is about 1.5, and is independent of the fiber type.


            of  carbon fiber diameter for three different commercially available carbon fibers. The
            curves in this figure are based on the following expression:

              (EIEo) = (dO/d>”                                                   (1)
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