Page 154 - Fiber Fracture
P. 154

STRENGTH OF GLASS FIBERS                                             139

             Extrinsic Inert Strength

             Inert Strength Distributions

             Inert extrinsic strength is of  interest to fiber manufacturers as it is the inert strength
             which is actually 'sold'  by a fiber producer. Inert strength can be measured by testing
             (a) at liquid nitrogen temperatures, (b) at room temperature in  vacuum, (c) at room
             temperature using very high strain rates, and (d) at room temperature in moisture-free
             inert environment such as dry nitrogen or in oil. Measurements on small-length samples
             are convenient but do not sample large flaws. The measurements of inert strengths of
             long lengths of fibers are difficult but are necessary to sample the low-frequency large
             flaws. These inert strengths can be estimated from measured room temperature strengths
             by  correcting for the fatigue effects. If  the  inert strength distribution is single-mode
             Weibull (as given by Eq.  1) then the measured strength distribution during a constant
             strain rate, ct, experiment at a temperature, T, follows:
                                        +
                                      [I
                P(S) = 1 - exp 1 -(s/s~)~ R(S/S~)~]'~''~-*))]                    (18)
             where
                R = [(N -2)VoX"exp(-Q/RT)Y2$]/[2(Nf    I)K,2Ect]                 (19)
             Glaesemann and Helfinstine (1994) have used  a similar equation to reconstruct inert
             strengths of long silica fibers (lengths = 823 km) from measured strength distributions
             at room temperature.

             Fractography of  Low-Strength Breaks

             Fractography is a powerful method of identifying the nature and location of the fracture
             initiating flaws  (Mecholsky,  1994). It  is  not  possible  to  use  fractography for  high-
             strength fibers because,  upon  fracture, high-strength fibers  disintegrate into  powder.
             When fiber strengths are low  (tl GPa), it generally becomes possible to capture the
             fracture  surfaces and examine them by  scanning electron microscopy. This  requires
             examination of  several fracture surfaces, since most of  the time no flaw is observed.
             Even when one locates a flaw, there is not a single type that stands out in a population
             of  fracture surfaces. Sometimes, however, unexpected flaws show  up.  For  example,
             Fig. 3 shows a SEM image of  an E-glass fiber fracture surface which failed at room
             temperature at a strength of 745 MPa (Gupta, 1994). In this case the fiber was drawn
             using a one-hole platinum bushing in the laboratory. The fracturc was clearly initiated
             by the crystalline platinum inclusion in the bulk of the fiber. The precise mechanism
             of the melt-platinum  interaction which generated such a crystal is unclear. A possible
             mechanism is oxidation of  platinum as oxide vapor, followed by  dissolution of  some
             of  the oxide vapor in the melt, followed by precipitation of the platinum crystal during
             cooling. An  interesting issue is that the crack size estimated using the Griffith -Irwin
             relation (Fq. 13) corresponding to the strength of 745 MPa is less than 0.5  Fm but the
             platinum inclusion is much larger (at least 2 pm). Clearly the inclusion itself cannot be
             treated as a crack. One possible explanation is that during cooling microcracks nucleate
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