Page 161 - Fiber Fracture
P. 161

146                                                            P.K. Gupta
                             HISTOGRAM                        WEIBULL PLOT
                  50                               2.5                          99
                                                -
                  40                            h                               50
                                                .
                                                0
                                                E!
                2  30                           4                               20
                                                                                10
                4
                                                +
                n:                              2 -2.5
                   20
                8                               v                               1 .o
                                                1
                                                 C
                                                                                0.5
                   10
                                                   -7.5
                                                D    4.0          5.5          7.0
                           STRENGTH, (Kpsi)                    Ln S, (Kpsi)
                Fig. 9. Weibull plot for the liquid Nz  temperature strengths of pristine E-glass fibers (Gupta, unpublished).


               Liquid Nitrogen Temperature Intrinsic Strength, S;

               E-glass Fibers

               Hollinger and Plant (1964) were the first to report strength measurements for E-glass
               fibers at liquid N2  temperature. They reported a  median strength of  5.8 GPa for  10
               km diameter fibers. This was soon followed by the work of Cameron (1968) who also
               reported a median strength of  about 5.8 GPa. This work has been reviewed by  Gupta
               (1983, 1988). Fig. 9 shows, on a Weibull plot, the previously unpublished data obtained
               by the author for the liquid N2 intrinsic strength measurements of E-glass fibers.

               Silica Fibers

               The first extensive work on the liquid N2  temperature strength of bare silica fibers was
               reported by  Proctor et al. (1967). They reported strengths as high as  14.7 GPa. They
               also measured strength values at the liquid helium temperature (-270°C)  which  are
               somewhat greater (-15  GPa) than those at the liquid N2  temperature. Since this work,
               many have confirmed these results. Fig.  10 shows results of  Duncan et al. (1985) on
               a Weibull plot. This  figure also shows the strength distribution at room  temperature.
               These results show a well defined single mode indicating that these are indeed intrinsic
               strengths.
               Fatigue in Pristine Fibers


                  There is overwhelming evidence of fatigue in pristine fibers. The room temperature
               strength shows all the fatigue characteristics which are exhibited by non-pristine fibers,
               namely (a) an increase with increase in the strain rate, (b) a decrease with increase in
               relative humidity of the environment (see Fig. 1 l), and (c) delayed failure.
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