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1656_C008.fm  Page 362  Monday, May 23, 2005  5:59 PM





                       362                                 Fracture Mechanics: Fundamentals and Applications


                       for metal specimens, but this load can be significant in plastic specimens. The conventional cantilever
                       clip gage design may be too stiff for soft polymer specimens; a ring-shaped gage may be more
                       suitable.
                          One may choose to infer the specimen displacement from the crosshead displacement. In such
                       cases it is necessary to correct for extraneous displacements due to the indentation of the specimen by
                       the test fixture. A displacement calibration can be inferred from a load-displacement curve for an
                       unnotched specimen. If the calibration curve is linear, the correction to displacement is relatively simple:
                                                         ∆  ∆ =  tot −  CP                       (8.24)
                                                                  i
                       where ∆  is the measured displacement and C  is the compliance due to indentation. Since the
                             tot
                                                              i
                       deformation of the specimen is time dependent, the crosshead rate in the calibration experiment
                       should match that in the actual fracture toughness tests.
                       8.1.3 K  TESTING
                               lc
                       The American Society for Testing and Materials (ASTM) has published a number of standards for
                       fracture testing of metals, which Chapter 7 describes. Committee D20 within ASTM developed a
                       standard method for K  testing of plastics [10]. This standard was based on a protocol developed
                                         Ic
                       by the European Structural Integrity Society (ESIS), which in turn was based on the ASTM K Ic
                       standard for metals, E 399 [12].
                          The ASTM  K  standard for plastics is very similar to E 399. Both test methods define an
                                     Ic
                       apparent crack initiation load P  by a 5% secant construction (Figure 7.13). This load must be
                                                 Q
                       greater than 1.1 times the maximum load in the test for the result to be valid. The provisional fracture
                       toughness K  must meet the following specimen size requirements:
                                 Q
                                                                 K  2
                                                                  Q
                                                        Ba ≥ 25   σ YS                      (8.25a)
                                                             .
                                                         ,
                                                              a
                                                        045 ≤ .  ≤  055                         (8.25b)
                                                                  .
                                                             W
                       where
                         B = specimen thickness
                          a = crack length
                         W = specimen width, as defined in Figure 7.1

                          The yield strength  σ  is defined in a somewhat different manner for plastics. Figure 8.5
                                           YS
                       schematically illustrates a typical stress-strain curve for engineering plastics. When a polymer













                                                               FIGURE 8.5 Typical stress-strain response of engi-
                                                               neering plastics.
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