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Composite Materials Research Progress

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198<br />

Giangiacomo Minak and Andrea Zucchelli<br />

event [47]). The slope variations in all diagrams are associated to events with a high energy<br />

content. In fact, as shown in figure 28C, the transitions between Z1 and Z2 and then between<br />

Z2 and Z3 are determined by two events with an energy content higher then 1.0 10 -6 J<br />

probably caused by fibres breakage. It is also interesting to notice that in the sub-domain Z2<br />

there is a considerable number of events with a high energy content (22 events with an energy<br />

higher then 1.0 10 -6 J) probably related to the breakage of quite large number of fibres. This<br />

fact was also confirmed by the visual and SEM analysis (figure 23 M-a & M-b, figure 25).<br />

Similar considerations can be developed considering the sub-domains Z3 and Z4 with a<br />

number of 27 and 100 events with energy content higher then 1.0 10 -6 J respectively, that<br />

probably reveal the progressive fibres breaking process.<br />

Besides the analysis of the AE information it is interesting to relate the AE diagrams to<br />

the mechanical response of the laminate.<br />

In particular it is possible to notice that both the first zone Z1 and the second zone Z2 end<br />

at the two important load drops. In the sub-domain Z1 the load-displacement diagram has a<br />

monotonic increasing trend with an increasing slope and this is a direct consequence of the<br />

fact that the system stiffness is increased by the transition from the bending to the membrane<br />

behaviour [35]. So this sub-domain characterizes the test phase during which no important<br />

damage is induced and the main part of the mechanical energy is stored in the material as<br />

strain energy, in fact only a small part of the mechanical energy is dissipated by fibres<br />

adjustment or alignments and matrix crack onset.<br />

After the first load drop, the sub-domain Z2 begins, where the load displacement diagram<br />

is again increasing monotonically, but contrary to what is observed in Z1 the slope is<br />

decreasing. This is related to the material damage corresponding to the first load drop. In fact,<br />

as noticed by visual inspection and SEM analysis, after the first load drop the fibres breakage<br />

and the brittle matrix leakage reduce the local resistance of the laminate. So in the subdomain<br />

Z2 the strain energy storing capability of the laminate is reduced if compared with the<br />

laminate behaviour in Z1.<br />

In the sub-domain Z3 the load-displacement diagram is characterized by a monotonic<br />

increasing trend with a consistent decreasing of the slope. After the second load drop<br />

delamination and fibre breakages compromise the local out-of-plane resistance of the<br />

laminate and the energy storing capability is significantly reduced. The third zone ends when<br />

the load reaches a relative maximum value and then it decreases. The sub-domain Z4 is<br />

characterized by a slowly decreasing trend of the load with the total penetration of the<br />

indenter in the laminate and the AE event are mainly caused by the delamination, matrix<br />

cracking and leakage, fibre breaking and bending-pull-out. At the end of the loaddisplacement<br />

diagram there is a new increasing trend due to the contact of the support of the<br />

spherical indenter with the laminate surface.<br />

The physical evidence of the failure modes that happens during the loading history in Z4<br />

can be reconstructed by visual and SEM inspection as shown in figure 23 (H-a& H-b) and<br />

figure 24.<br />

An example of implementation of the function f(x) for this case study is shown in figure<br />

29 where the strain energy (Es), the cumulative AE event energy (Ea), the load and the f(x)<br />

diagrams relative to the same test reported in figure 28 are shown.

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