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                       234                                 Fracture Mechanics: Fundamentals and Applications






























                       FIGURE 5.17 Optical micrograph (unetched) of ductile crack growth in an A 710 high-strength low-alloy
                       steel. Photograph courtesy of J.P. Gudas. Taken from McMeeking, R.M. and Parks, D.M., ‘‘On Criteria for
                       J-Dominance of Crack-Tip Fields in Large-Scale Yielding.” ASTM STP 668, American Society for Testing
                       and Materials, Philadelphia, PA, 1979, pp. 175–194.
                       5.2 CLEAVAGE

                       Cleavage fracture can be defined as the rapid propagation of a crack along a particular crystallo-
                       graphic plane. Cleavage may be brittle, but it can be preceded by large-scale plastic flow and ductile
                       crack growth (see Section 5.3). The preferred cleavage planes are those with the lowest packing
                       density, since fewer bonds must be broken and the spacing between planes is greater. In the case
                       of body-centered cubic (BCC) materials, cleavage occurs on {100} planes. The fracture path is
                       transgranular in polycrystalline materials, as Figure 5.1(b) illustrates.  The propagating crack
                       changes direction each time it crosses a grain boundary; the crack seeks the most favorably oriented
                       cleavage plane in each grain. The nominal orientation of the cleavage crack is perpendicular to the
                       maximum principal stress.
                          Cleavage is most likely when the plastic flow is restricted. Face-centered cubic (FCC) metals
                       are usually not susceptible to cleavage because there are ample slip systems for ductile behavior
                       at all temperatures. At low temperatures, BCC metals fail by cleavage because there are a limited
                       number of active slip systems. Polycrystalline hexagonal close-packed (HCP) metals, which have
                       only three slip systems per grain, are also susceptible to cleavage fracture.
                          This section and Section 5.3 focus on ferritic steel, because it is the most technologically important
                       (and the most extensively studied) material that is subject to cleavage fracture. This class of materials
                       has a BCC crystal structure, which undergoes a ductile-brittle transition with decreasing temperature.
                       Many of the mechanisms described below also operate in other material systems that fail by cleavage.

                       5.2.1 FRACTOGRAPHY

                       Figure 5.18 shows SEM fractographs of cleavage fracture in a low-alloy steel. The multifaceted
                       surface is typical of cleavage in a polycrystalline material; each facet corresponds to a single grain.
                       The ‘‘river patterns’’ on each facet are also typical of cleavage fracture. These markings are so
                       named because multiple lines converge to a single line, much like tributaries to a river.
                          Figure 5.19 illustrates how river patterns are formed. A propagating cleavage crack encounters
                       a grain boundary, where the nearest cleavage plane in the adjoining grain is oriented at a finite
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