Hr. Mayer et al., FEM MODELING OF STRESS INTENSITY FACTORS FOR FATIGUE-CRACK GROWTH AT ULTRASONIC FREQUENCIES, Engineering fracture mechanics, 45(4), 1993, pp. 487-495
The inverse iteration FEM is used to determine the stress intensity fa
ctor of a single edge notched specimen as used in ultrasonic resonance
testing of fatigue crack growth. The stress intensity factor is deter
mined as a function of velocity or amplitude at the specimen ends. Res
onance frequency and tension-compression ratio R are calculated for di
fferent crack lengths. It is shown that the R-value increases from R =
-1 to R = -0.90 when the relative crack length (a/W) increases from 0
.067 to 0,4. The stress intensity factor for high frequency resonance
loading is compared with the stress intensity amplitude for two static
loading conditions. Significant differences are found in comparison w
ith static concentric loading and similarities with static uniform dis
placement loading.