Composite Materials Research Progress
Composite Materials Research Progress
Composite Materials Research Progress
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200<br />
Giangiacomo Minak and Andrea Zucchelli<br />
monotonic with an increasing trend and it is characterized by four main parts: the first part<br />
has an exponential trend, the other parts have nearly linear trends with different slopes. The<br />
slope variations coincide to the sub-domain Z2, Z3 and Z4 limits. The cumulative AE event<br />
energy is a discrete function that monotonically increases. The sub-domain previously cited<br />
delimits some of the Ea diagram variations: the first part of Ea is characterized by low values<br />
and a smooth trend (inside Z1), the second domain, Z2, is characterized by an Ea increasing<br />
trend and slope and at the end of Z2 there is an evident gap in the Ea value. This gap, as it is<br />
clear in figure 28C, is due to an AE event with a high energy content and from the mechanical<br />
point of view is related to the second load drop: the material damage has reached a high level.<br />
In the sub-domain Z3 and Z4 the Ea diagram is characterized by an increasing trend but no<br />
particular behaviour can be noticed. On the contrary, it is interesting to notice that in the Z2<br />
domain the Ea trend is increasing with a general slope greater than the Ea slope in Z3 and Z4.<br />
In particular comparing the diagrams in figure 28 and the Ea diagram in figure 29B it is<br />
evident that the AE activity in Z2 is characterized by an increased AE event rate than in Z1<br />
and in Z2 the events have a mean number of counts and a mean energy content higher than the<br />
ones in Z1. This analysis of the AE information indicates that the test phase coinciding to the<br />
sub-domain Z2 is the prelude to the main material crisis.<br />
Considering the f(x) diagram it is possible to notice the presence of three increasing<br />
diagram parts (type I: PI,1; PI,2; PI,3), four falls (diagram of type II: PII,1; PII,2; PII,3; PII,4), two<br />
constant parts (PIII,1; PIII,2) and one decreasing part (PIV,1). The three increasing diagram parts<br />
of f(x) are limited in the sub-domain Z1 indicating that at this first test stage the material has a<br />
moderate attitude in storing the mechanical energy. Analysing the f(x) diagram in the subdomain<br />
Z1 it is possible to note that the first fall PII,1 that connect PI,1 and PI,2 is not related to<br />
an important material failure: there is no slope variation of f(x) before and after the fall PII,1<br />
(S1-=S1+). On the contrary, considering the second fall (PII,2) it is possible to note that the final<br />
slope of PI,2 and the starting slope of PI,3 are different (S2->s2+). This fact is due to the first<br />
important material damage and, as noticed during 28C analysis, it is related to the fibres<br />
breakage. It is worth noting that that the simple analysis of the load-displacement diagram<br />
does not single out this first damage even though it is important because it definitely<br />
influences the material strain energy storing capability and indicates the displacement value at<br />
which the damage significantly begins. The other three sub-domains are characterized by a<br />
general decreasing and constant trends of f(x). In particular in Z2, after the third fall (PII,3), the<br />
f(x) is characterized by an initial constant trend directly followed by a decreasing trend (no<br />
falls connect PIII,1 and PIV,1). This behaviour can be explained by the fact that the cumulated<br />
damage during the test phase in sub-domain Z1 and the first fall is great enough to<br />
compromise the material strain energy storing capability. The fourth fall, PII,4, that follows the<br />
decreasing trend of f(x) (PIV,1) is due to the final material local degradation. It is interesting to<br />
notice that in sub-domains Z3 and Z4 the f(x) is characterized by a constant trend while the<br />
load-displacement diagram reveals the presence of a local load maximum value. So even if<br />
the load diagram indicates a residual stiffness of the laminate the f(x) clearly indicates that the<br />
material damage is definitive. The constant behaviour of f(x) indicates that despite the local<br />
load maximum the material energy release is continuous and great enough to compensate the<br />
material strain energy storing attitude: the mechanical energy propagates the material damage.