Crack Paths 2009
critical cross
section
a)
b)
(2)
(1)
(3)
Figure 5. Fatigue testing machine (a) and testingbar (b)
Computational Analysis
A stress and deformation field in the critical cross section of the bar has been
determined numerically using FEM-programcode Abaqus [7]. The FE-model shown in
Fig. 6a and loading pattern shown in Fig. 6c have been used in computational analysis.
In the next steep, the fatigue analysis has been performed using FE-Safe program code
[8]. The fatigue analysis is based on strain-life method (-N), where Coffin-Manson
relationship with Morrow mean stress correction is used to determine the number of
stress cycles Ni required for the fatigue crack initiation [9]:
m f ) ' (
c f f b f N N ) 2 ( ' 2
(4)
2
E
where is the true strain range, m is the mean stress and E, f’, f’, b and c are
material parameters described in previous sections.
Fmax=880 k N
F
rigid
time
bolt
bar
F min =88 k N
c)
b)
a)
force F
Figure 6. Numerical model (a), initial crack (b) and loading pattern (c)
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