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1656_C005.fm  Page 247  Monday, May 23, 2005  5:47 PM





                       Fracture Mechanisms in Metals                                               247



































                       FIGURE 5.28 The ductile-brittle transition in ferritic steels. The fracture mechanism changes from cleavage
                       to microvoid coalescence as the temperature increases.




                       5.3 THE DUCTILE-BRITTLE TRANSITION

                       The fracture toughness of ferritic steels can change drastically over a small temperature range,
                       as Figure 5.28 illustrates. At low temperatures, steel is brittle and fails by cleavage. At high
                       temperatures, the material is ductile and fails by microvoid coalescence. Ductile fracture initiates
                       at a particular toughness value, as indicated by the dashed line in Figure 5.28. The crack grows
                       as the load is increased. Eventually, the specimen fails by plastic collapse or tearing instability.
                       In the transition region between ductile and brittle behavior, both micromechanisms of fracture
                       can occur in the same specimen. In the lower transition region, the fracture mechanism is pure
                       cleavage, but the toughness increases rapidly with temperature as cleavage becomes more diffi-
                       cult. In the upper transition region, a crack initiates by microvoid coalescence but ultimate failure
                       occurs by cleavage. On initial loading in the upper transition region, cleavage does not occur
                       because there are no critical particles near the crack tip. As the crack grows by ductile tearing,
                       however, more material is sampled. Eventually, the growing crack samples a critical particle and
                       cleavage occurs. Because the fracture toughness in the transition region is governed by these
                       statistical sampling effects, the data tend to be highly scattered. Wallin [47] has developed a
                       statistical model for the transition region that incorporates the effect of prior ductile tearing on
                       the cleavage probability.
                          Recent work by Heerens and Read [27] demonstrates the statistical sampling nature of
                       cleavage fracture in the transition region. They performed a large number of fracture toughness
                       tests on a quenched and tempered alloy steel at several temperatures in the transition region. As
                       expected, the data at a given temperature were highly scattered. Some specimens failed without
                       significant stable crack growth, while other specimens sustained high levels of ductile tearing
                       prior to cleavage. Heerens and Read examined the fracture surface of each specimen to determine
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