Residual Strength and Fatigue Lifetime of ... - Solid Mechanics

Figure 4.18 (a) presents the deflection at the loading point (Z deflection) as a function of cycles
for the reference and the cycle jump simulation with the control parameters qG=q=2.5. It is seen
that the evaluated deflections from the cycle jump method agree well with the reference
simulation. By use of the control parameters qG=q=2.5, the cycle jump method simulation
requires 171 cycles to simulate 500 cycles, resulting in a 66% reduction in the computational
time with excellent accuracy. The debond growth in three crack front locations along the debond
is shown in Figure 4.18 (b) based on the reference and the cycle jump simulations with the
control parameters qG=q=2.5. It appears that in all locations the cycle jump simulations
estimates the debond growth with excellent accuracy. The same conclusion can be drawn for the
mode I+II strain energy release rate and phase angle as shown in Figure 4.19.
Figure 4.18: (a) Deflection at the loading point (Z deflection) and (b) debond growth vs. cycles
for the reference and cycle jump simulations with control parameters qG=q=2.5.
G I+II (J/m 2 )
(a)
500
400
300
200
100
0
0 Reference 54 Reference
72 Reference 0CJ qG=q=2.5
52CJ qG=q=2.5 72CJ qG=q=2.5
(a)
0 100 200 300 400 500
Cycle
Figure 4.19: (a) GI+II and (b) phase angle vs. cycles for the reference and cycle jump
simulations with control parameters qG=q=2.5.
Crack length (mm)
82
75
65
55
45
Phase angle (degree)
-4
-5
-6
-7
-8
-9
0 Reference 54 Reference
72 Reference 0CJ qG=q=2.5
54CJ qG=q=2.5 72CJ qG=q=2.5
0 100 200 300 400 500
Cycle
Cycle
0 100 200 300 400 500
(b)
(b)
0 Reference 54 Reference
72 Reference 0CJ qG=q=2.5
54CJ qG=q=2.5 72CJ qG=q=2.5