Page 130 - Fiber Fracture
P. 130

FRACTURE CHARACTERISTICS OF SINGLE CRYSTAL AND EUTECTIC FIBERS       115
                         a"   2000
                         E                A120,1Y,AIs0 ,I Eutectic
                         5
                         on  1500
                         E
                         L
                         iZ
                         aJ              ~OOO1> AI  0
                         c1
                         'Z   1000
                         c

                              500



                                0




                                                     Strain Rate, s-'
           Fig. 3.  Tensile  strength of  single-crystal (0001) A1203  (squares) and directionally solidified  A1203/Y3A15
           OI2 (circles) fibers  as a function of  strain  rate  at  1000°C. Each data point represents the mean of  40 tests
           and error bars represent the standard deviation.


             A possible contributor to the loss in strength at high temperatures is static fatigue or
           delayed failure due to stress-enhanced slow crack growth. This would require that the
           fiber strength be markedly dependent on loading rate and load application time. Hence,
           successful  structural  exploitation  of  these  fibers  requires  a  detailed  understanding
           of  fiber  strength  behavior  as  a  function  of  stress  and  time  so  that  accurate  failure
           predictions can be made. The time to failure behavior for uniaxially loaded commercial
           (0001) A1203 was tested (Sayir, 1993). This experimental study showed that the failure
           of  (0001) A1203 fibers was due to slow crack growth at  1000 < 1400°C under static
           stress  and  variable  stress  rate  conditions.  In  the  present  work  fibers  grown  by  the
           laser-heated float  zone  technique  that  had  superior room  temperature  strength were
           tested. The strong dependence of  strength on strain rate for the high strength  (0001)
           A1203 at  1100°C is shown in Fig. 3 (squares). The dynamic response of  high-strength
           fibers is identical to commercially produced fibers even though their room temperature
           strength was almost a factor of two higher. The data strongly indicate that single-crystal
           (0001) A1203  failure is dependent on the slow crack growth at elevated temperatures
           and therefore any meaningful improvements to fiber strength at high temperature must
           consider strength as a function of dynamic loading conditions.
             The results of the stress rupture test at  1400°C are shown in Fig. 4. The threshold
           stress intensity factor below which no crack propagation occurs  seems to be  around
           400 MPa  as  shown in  Fig. 4. To  understand slow crack growth in  A1203  fibers and
           make accurate lifetime predictions, one needs to know the crack velocity as a function
           of  stress intensity factor at high  temperatures. It  is  well established that  for a  given
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