Fatigue Crack Paths 2003
(1)
WCPε−=
The crack length ratio a/W is obtained from the polynomial relationship:
2 3 4 5 1 a a a u a u a u a u a u W = + + (2+)
0
where
1
(3)
1 u B E C = +
The coefficients a0 , ..., a5 were calibrated by Finite Element Analysis (FEA) and the
results are in good agreement with previous results obtained with the surface replication
technique, with influence function method and from the literature [13] (see Fig. 4).
0.9
0.8
B F S[13]
BFS, replica [14]
0.7
BFS,F E A
BFS, infl. funct.
0.6
0.5
a / W
0.4
0.3
0.2
0.1
0
0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45
u
Figure 4. Calibration of a W as a function of u.
Test Method
The fatigue crack growth tests were conducted at a loading frequency of 10 Hz in lab
air. Constant load amplitude and continuous load-shedding procedures depending on the
F C Grate range of interest were used. In constant load amplitude tests the applied cyclic
load range (i.e. ΔP=Pmax-Pmin) was kept constant throughout the test, while in the
continuous load-shedding tests the load range was gradually decreased as the crack
propagated according to [15]. As R-ratio dependence is expected to occur also in this
class of materials, two load ratios R=Pmin/Pmax (0.1 and 0.5, respectively) were
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