Evaluation of crack growth direction criteria on mixed-mode fatigue crack growth experiments
Source abstract
Abstract
The predictive capabilities of different fatigue crack growth direction criteria in finite element simulations are investigated. Crack growth direction criteria based on stress intensity factors, energetic measures and kinematic (displacement) measures are evaluated for mixed-mode fatigue crack growth experiments in the literature. More specifically, the development of the experimentally found crack path is simulated numerically, and the directions from the different criteria are compared to the known crack path along the development of the fracture. The simulated experiments featured proportional and non-proportional loading. Of the evaluated criteria, those based on energetic and displacement measures are able to accurately capture the tensile-mode fatigue crack growth direction for all examined experiments. Furthermore, the displacement-based criterion is able to capture the direction of shear-mode crack growth as well as the transition from shear- to tensile-mode growth and the subsequent tensile-mode growth. Modeling the cyclic elastic plastic material response does not improve the accuracy of the predicted directions for the considered cases.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Fatigue and fracture mechanics · Numerical methods in engineering · Ultrasonics and Acoustic Wave Propagation
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (45)
Show source-provided references
1. Fatigue crack growth under mixed-mode I and II loading10.1111/j.1460-2695.1985.tb00430.x ↗
2. Fatigue of railway wheels and rails under rolling contact and thermal loading-an overview10.1016/j.wear.2004.03.039 ↗
3. Review of fatigue crack growth under non-proportional mixed-mode loading10.1016/j.ijfatigue.2013.04.001 ↗
4. The condition of fatigue crack growth in mixed mode condition10.1016/0013-7944(75)90043-0 ↗
5. On the crack extension in plates under plane loading and transverse shear10.1115/1.3656897 ↗
6. Strain-energy-density factor applied to mixed mode crack problems10.1007/BF00035493 ↗
7. Fatigue crack closure in kinked cracks and path of crack propagation10.1007/BF00035521 ↗
8. Mixed mode crack growth under static and cyclic loading in Al-alloy sheets10.1016/0013-7944(91)90271-2 ↗
9. Studies on cyclic crack path and the mixed-mode crack closure behaviour in Al alloy10.1016/0142-1123(92)90149-7 ↗
10. Fatigue crack growth studies under mixed-mode loading10.1016/S0142-1123(01)00146-3 ↗
11. Hussain MA, Pu SL, Underwood J. Strain energy release rate for a crack under combined mode I and mode II. In: Irwin G, editor. Fracture analysis: proceedings of the 1973 national symposium on fracture mechanics, part II. ASTM International. West Conshohocken, PA; 1974. p. 2–28. doi:https://doi.org/10.1520/STP33130S.10.1520/STP33130S ↗
12. The T-criterion applied to ductile fracture10.1007/BF01130617 ↗
13. The effect of plasticity on incipient mixed-mode fatigue crack growth10.1046/j.1460-2695.2003.00622.x ↗
14. A branch criterion for shallow angled rolling contact fatigue cracks in rails10.1016/0043-1648(95)06621-7 ↗
15. Vector ctd criterion applied to mixed mode fatigue crack growth10.1111/j.1460-2695.1989.tb00508.x ↗
16. Fatigue crack propagation under non-proportional mixed mode loading10.1016/S0013-7944(98)00097-6 ↗
17. Highsmith S. Crack path determination for non-proportional mixed-mode fatigue. PhD thesis, Georgia Institute of Technology; 2009.
18. Hourlier F, D’Hondt H, Truchon M, Pineau A. Fatigue crack path behavior under polymodal fatigue. ASTM Special Technical Publication; 1985. p. 228–48. doi:https://doi.org/10.1520/STP36226S.10.1520/STP36226S ↗
19. A review of fatigue crack growth in steels under mixed mode I and II loading10.1111/j.1460-2695.1992.tb00025.x ↗
20. Shear mode crack growth and rolling contact fatigue10.1016/0043-1648(91)90022-M ↗
21. A finite element analysis of crack initiation and propagation in a notched disk submitted to rolling contact fatigue10.1115/1.2834568 ↗
22. Propagation of fatigue cracks under polymodal loading10.1111/j.1460-2695.1982.tb01237.x ↗
23. Shear mode growth of short surface-breaking RCF cracks10.1016/j.wear.2004.03.043 ↗
24. A quantitative model for predicting the morphology of surface initiated rolling contact fatigue cracks in back-up roll steels10.1046/j.1460-2695.2002.00601.x ↗
25. Rolling contact fatigue crack path prediction by the asperity point load mechanism10.1016/j.engfracmech.2011.07.012 ↗
26. The bending stress distribution at the base of a stationary crack10.1115/1.3640470 ↗
27. Evaluation of stress intensity factors under multiaxial and compressive conditions using low order displacement or stress field fitting10.1016/j.engfracmech.2017.11.015 ↗
28. In situ sem experiments concerning the mechanism of ductile crack growth10.1016/0001-6160(79)90126-3 ↗
29. Otsuka A, Tohgo K, Kiba T, Yamada S. Mode II fatigue crack growth characteristics and mechanism in aluminum alloy 7N01-T4 weldments under mode II loading, Fracture 84. In: Valluri S, Taplin D, Rao PR, Knott J, Dubey R, editors. Pergamon; 1984. p. 1671–1678. doi:https://doi.org/10.1016/B978-1-4832-8440-8.50159-9.10.1016/B978-1-4832-8440-8.50159-9 ↗
30. On energetic changes due to configurational motion of standard continua10.1016/j.ijsolstr.2008.11.011 ↗
31. A path independent integral and the approximate analysis of strain concentration by notches and cracks10.1115/1.3601206 ↗
32. On the role of material dissipation for the crack-driving force10.1016/j.ijplas.2009.12.001 ↗
33. Dowling · 2012
34. Rohatgi A. WebPlotDigitizer. Version 4.1; 2018.
35. Modeling of I+II mixed mode crack initiation and growth from the notch10.1016/j.tafmec.2016.03.011 ↗
36. Modeling of cyclic ratchetting plasticity, Part I: Development of constitutive relations10.1115/1.2823355 ↗
37. Bold P. Multiaxial fatigue crack growth in rail steel. PhD thesis, University of Sheffeld; 1990.
38. Wriggers · 2006
39. On some modifications of kinematic hardening to improve the description of ratchetting effects10.1016/0749-6419(91)90050-9 ↗
40. Mixed mode fatigue crack propagation in a railway wheel steel
41. A mathematical representation of the multiaxial Bauschinger effect10.3184/096034007X207589 ↗
42. The inuence of crack face friction and trapped fluid on surface initiated rolling contact fatigue cracks10.1115/1.3261717 ↗
43. Convergence properties of the Nelder-Mead simplex method in low dimensions10.1137/S1052623496303470 ↗
44. MATLAB Optimization Toolbox. The MathWorks, Natick, MA, USA; 2017.
45. Hibbit D, Karlsson B, Sorensen P. ABAQUS/Standard analysis user’s manual, version 6.13. Providence, RI: Dassault Systèmes/Simulia; 2013.