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Extra info for Handbook of Ceramics and Composites
For the brittle fracture behavior depicted in Figure 9, Eq. e, before and after crack extension). There is no requirement for the loaddisplacement curve to be linear. Therefore, Eq. (11) can be generalized for materials that have nonlinear elastic loaddisplacement curves, such as a composite material with a toughened (and therefore more ductile) matrix, like that shown in Figure 10. In this case, however, the simplification made in Eq. (12) for the linear case is not applicable, and a numerical integration scheme may be required to calculate the area between the loading and unloading curves.
Rate-Dependent Behavior Most of the research on rate-dependent fracture in composites has considered mode I loading, using the double cantilever beam test. The results presented and discussed in this section are therefore for mode I loading only, except where otherwise noted. Although the variation of fracture toughness with loading rate is most appropriately expressed in terms of crack propagation velocity, the most frequently used measure of loading rate is the speed at which the opening displacement is imposed on the DCB test specimen, as determined from the cross-head displacement rate on the test machine.
10. ) mm/s. It was shown that GIc almost doubled over this range of loading rates, with produced crack propagation speeds () up to 1 mm/s. 1, as shown in Figure 34. Results presented in Ref. 11 for AS4/35016 graphiteepoxy over a similar range of loading rates show no significant variation in GIc from the static fracture toughness. Fracture resistance increases at higher loading rates for the same material, however.