Stress Intensity Factors for Cracks Emanating from a Notch under Shear-Mode Loading


Article Preview

The influence of the notch geometry on the stress intensity factor at the front of the emanating cracks is well known for the opening loading mode. The critical length of the crack corresponding to a vanishing of the influence of the notch stress concentration can be approximately expressed by the formula aI,c = 0.5ρ(d/ρ)1/3, where d and ρ are the depth and radius of the notch, respectively. The aim of the paper was to find out if this formula could be, at least nearly, applicable also to the case of shear mode loading. The related numerical calculations for mode II and III loading were performed using the ANSYS code for various combinations of notch depths and crack lengths in a cylindrical specimen with a circumferential U-notch. The results revealed that, for mode II loading, the critical length was much higher than that predicted by the formula for mode I loading. On the other hand, the critical lengths for mode I and mode III were found to be nearly equal.



Edited by:

Luis Rodríguez-Tembleque, Jaime Domínguez and Ferri M.H. Aliabadi




J. Horníková et al., "Stress Intensity Factors for Cracks Emanating from a Notch under Shear-Mode Loading", Key Engineering Materials, Vol. 774, pp. 48-53, 2018

Online since:

August 2018




* - Corresponding Author

[1] Lefort P.: Stress intensity factors for a circumferential crack emanating from a notch in a round tensile bar. Engineering Fracture Mechanics 10 (1978), p.897 – 904.


[2] ANSYS INC. Ansys R17.2 help (manual). Ansys corp. (2016).

[3] Horníková J., Žák S., Šandera P.: K-calibration of Special Specimens for Mode II, III and II+III Crack Growth. Engineering Fracture Mechanics 110, (2013), p.430 – 437.


[4] Žák S., Horníková J., Šandera P.: Shear Mode Stress Intensity Factors for Serrated Crack Fronts. Key Engineering Materials 754 (2017), p.214 – 217.


[5] Vojtek T., Pokluda J., Šandera P., Horníková J., Hohenwarter A., Pippan R.: Analysis of Fatigue Crack Propagation under Mixed Mode II+III in ARMCO Iron. International Journal of Fatigue 76 (2015), p.47 – 52.


[6] Ščotka M.: Influence of a Notch on Stress-Strain States at the Front of Cracks Loaded by Shear Modes. Master Thesis, supervisor J. Horníková, Brno University of Technology, Brno 2017 (in Slovak).