Page 159 - Fiber Fracture
P. 159

144                                                            P.K.  Gupta


                                      21             I 0 Stress data point   1418
                                        \               Coefficient of variation
                                         \  \           data point        I  I.^  ID
                        600  -         *\             A Other air strength data for a
                                                        variety of cookout times
                                            \                             I114  0
                    ._                                                      12 4
                    m
                    Y
                                                                               n:
                    $  500  -
                    W
                    LT
                    I-
                    0
                       400  -
                               1  Trend line for stress
                               2  Trend line for coefficient
                                of variation
                           -
                        300                                                 n  -
                                 2300    2400    2500   2600    2700    2800
                                       COOKOUT TEMPERATURE, OF
               Fig. 6. Effect of  melting temperature on  mean  fiber strength and coefficient of  variation (after Cameron,
               1966).


                 Thomas was able to achieve this remarkable breakthrough by  building on the work
               of  Otto (1955) who instituted several critical changes in the procedure used for testing
               fibers: (1) capturing pristine fiber samples on the fly between the bushing and the winder
              drum before the fibers come in contact with the drum; (2) testing fibers immediately
               after capturing; and (3) melting the glass in the bushing at sufficiently high temperatures
               and sufficiently long times. The importance of this last point is shown in Fig. 6, taken
               from the work of Cameron (1966), which shows the COV as a function of glass melting
               temperature.
                 The room temperature intrinsic strengths in terms of  the Weibull plot are shown in
               Fig. 7 (Gupta, 1994). It is clear that the intrinsic strength with an average value of about
               3.6 GPa is unimodal with a Weibull modulus of  about 40 (COV = 3%). This mode is
               reproducible even when tested samples are not pristine as shown in Fig. 8 which shows
               the low strength mode due to extrinsic flaws.

               Silica Fibers

               Kurkjian  and  Paek  (1983)  showed  that  the  observed  COV  in  pristine  silica  fiber
               strengths could be explained entirely by the measured variations in fiber diameter. This
               was the first clear demonstration that the measured high strength of silica fibers at room
               temperature (about 6 GPa) was intrinsic.
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