journal article·2020-01

Numerical study of fatigue crack growth considering an elastic–plastic layer in mixed-mode loading

Rafael Moresco, Eduardo Bittencourt

International Journal of Fracture· Volume 221· Issue 1
Publisher page

Abstract

In this work, crack propagation simulations in a weak surface between an elastic–plastic layer and an elastic substrate are considered. A plane strain model is used in the simulations. Fracture propagation process is taken into account by an irreversible cyclic cohesive zone model. Loading applied to the structure is rotated in order that mixed loading modes could be introduced. Besides loading, thickness of the elastic–plastic layer is also changed. All other intrinsic fracture properties are kept constant. The present work shows a direct relation between mode II applied energy and the energy dissipated plastically during propagation. As a consequence, the introduction of mode II loading intensifies the effects of the elastic–plastic layer, resulting substantially larger plastic strains, more extensive crack closure during unloading and smaller tractions at the crack tip when the size of the layer increases. The result is a substantial increase in the fatigue crack growth resistance. These effects are minimal or not observed when only mode I is considered.
Source: openaire · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: Fatigue and fracture mechanics · Mechanical Behavior of Composites · Metal Forming Simulation Techniques

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (39)

Show source-provided references
1. Anderson TL (2017) Fracture mechanics: fundamentals and applications. CRC Press, Boaca Raton10.1201/9781315370293 ↗
2. Benrahou K, Benguediab M, Belhouari M, Nait-Abdelaziz M, Imad A (2007) Estimation of the plastic zone by finite element method under mixed mode (i and ii) loading. Comput Mater Sci 38(4):595–60110.1016/j.commatsci.2006.04.001 ↗
3. Bharadwaj MV, Banerjee A (2014) Effect of mode-mixity on fatigue crack growth. Procedia Eng 86:653–66110.1016/j.proeng.2014.11.066 ↗
4. Bouvard JL, Chaboche JL, Feyel F, Gallerneau F (2009) A cohesive zone model for fatigue and creep-fatigue crack growth in single crystal superalloys. Int J Fatigue 31(5):868–87910.1016/j.ijfatigue.2008.11.002 ↗
5. Cannon R, Dalgleish B, Dauskardt R, Oh T, Ritchie R (1991) Cyclic fatigue-crack propagation along ceramic/metal interfaces. Acta Metall Mater 39(9):2145–215610.1016/0956-7151(91)90184-3 ↗
6. Cao J, Li F, Ma X, Sun Z (2018) Study of anisotropic crack growth behavior for aluminum alloy 7050–t7451. Eng Fract Mech 196:98–11210.1016/j.engfracmech.2018.04.011 ↗
7. Chen Q, Guo H, Avery K, Kang H, Su X (2018) Mixed-mode fatigue crack growth and life prediction of an automotive adhesive bonding system. Eng Fract Mech 189:439–45010.1016/j.engfracmech.2017.11.004 ↗
8. Groover MP (2007) Fundamentals of modern manufacturing: materials processes, and systems. Wiley, New York
9. Kim TY, Kim HK (2013) Mixed-mode fatigue crack growth behavior of fully lower bainite steel. Mater Sci Eng A 580:322–32910.1016/j.msea.2013.05.065 ↗
10. Kruzic J, McNaney J, Cannon R, Ritchie R (2004) Effects of plastic constraint on the cyclic and static fatigue behavior of metal/ceramic layered structures. Mech Mater 36(1–2):57–7210.1016/S0167-6636(03)00031-0 ↗
11. Kuna M, Roth S (2015) General remarks on cyclic cohesive zone models. Int J Fract 196(1–2):147–16710.1007/s10704-015-0053-y ↗
12. Lane M, Dauskardt RH, Vainchtein A, Gao H (2000) Plasticity contributions to interface adhesion in thin-film interconnect structures. J Mater Res 15(12):2758–276910.1557/JMR.2000.0395 ↗
13. Lemaitre J, Desmorat R (2005) Engineering damage mechanics: ductile, creep, fatigue and brittle failures. Springer Science & Business Media, Berlin
14. Ma S, Zhang X, Recho N, Li J (2006) The mixed-mode investigation of the fatigue crack in cts metallic specimen. Int J Fatigue 28(12):1780–179010.1016/j.ijfatigue.2006.01.005 ↗
15. McNaney J, Cannon R, Ritchie R (1996) Fracture and fatigue-crack growth along aluminum-alumina interfaces. Acta Mater 44(12):4713–472810.1016/S1359-6454(96)00126-7 ↗
16. Needleman A (1990) An analysis of decohesion along an imperfect interface. Non-linear fracture. Springer, Dordrecht, pp 21–4010.1007/978-94-017-2444-9_2 ↗
17. Needleman A (2018) Dynamic mode II crack growth along an interface between an elastic solid and a plastic solid. J Mech Phys Solids 120:22–3510.1016/j.jmps.2018.01.011 ↗
18. Nguyen O, Repetto E, Ortiz M, Radovitzky R (2001) A cohesive model of fatigue crack growth. Int J Fract 110(4):351–36910.1023/A:1010839522926 ↗
19. Nijin I, Kumar RS, Banerjee A (2019) Role of stress-state on initiation and growth of a fatigue crack. Int J Fatigue 118:298–30610.1016/j.ijfatigue.2018.02.031 ↗
20. Paris P, Erdogan F (1963) A critical analysis of crack propagation laws. J Basic Eng 85(4):528–53310.1115/1.3656900 ↗
21. Roe K, Siegmund T (2003) An irreversible cohesive zone model for interface fatigue crack growth simulation. Eng Fract Mech 70(2):209–23210.1016/S0013-7944(02)00034-6 ↗
22. Roth S, Hütter G, Kuna M (2014) Simulation of fatigue crack growth with a cyclic cohesive zone model. Int J Fract 188(1):23–4510.1007/s10704-014-9942-8 ↗
23. Roth S, Kuna M (2017) Prediction of size-dependent fatigue failure modes by means of a cyclic cohesive zone model. Int J Fatigue 100:58–6710.1016/j.ijfatigue.2017.01.044 ↗
24. Roychowdhury S, Dodds RH Jr (2003) A numerical investigation of 3-D small-scale yielding fatigue crack growth. Eng Fract Mech 70(17):2363–238310.1016/S0013-7944(03)00003-1 ↗
25. Suresh S (1998) Fatigue of materials. Cambridge University Press, Cambridge10.1017/CBO9780511806575 ↗
26. Tvergaard V (2001) Resistance curves for mixed mode interface crack growth between dissimilar elastic-plastic solids. J Mech Phys Solids 49(11):2689–270310.1016/S0022-5096(01)00074-6 ↗
27. Tvergaard V (2010) Effect of pure mode I, II or III loading or mode mixity on crack growth in a homogeneous solid. Int J Solids Struct 47(11–12):1611–161710.1016/j.ijsolstr.2010.02.024 ↗
28. Tvergaard V, Hutchinson JW (1992) The relation between crack growth resistance and fracture process parameters in elastic-plastic solids. J Mech Phys Solids 40(6):1377–139710.1016/0022-5096(92)90020-3 ↗
29. Tvergaard V, Hutchinson JW (1993) The influence of plasticity on mixed mode interface toughness. J Mech Phys Solids 41(6):1119–113510.1016/0022-5096(93)90057-M ↗
30. Tvergaard V, Hutchinson JW (1994) Toughness of an interface along a thin ductile layer joining elastic solids. Philos Mag A 70(4):641–65610.1080/01418619408242253 ↗
31. Tvergaard V, Hutchinson JW (1996) On the toughness of ductile adhesive joints. J Mech Phys Solids 44(5):789–80010.1016/0022-5096(96)00011-7 ↗
32. Varias A, Suo Z, Shih C (1991) Ductile failure of a constrained metal foil. J Mech Phys Solids 39(7):963–98610.1016/0022-5096(91)90014-F ↗
33. Wang B, Siegmund T (2005) A numerical analysis of constraint effects in fatigue crack growth by use of an irreversible cohesive zone model. Int J Fract 132(2):175–19610.1007/s10704-005-0627-1 ↗
34. Wang B, Siegmund T (2005) Numerical simulation of constraint effects in fatigue crack growth. Int J Fatigue 27(10–12):1328–133410.1016/j.ijfatigue.2005.06.001 ↗
35. Westergaard HM (1939) Bearing pressures and cracks. J Appl Mech 6(2):A49–A5310.1115/1.4008919 ↗
36. Xu Y, Yuan H (2009) On damage accumulations in the cyclic cohesive zone model for XFEM analysis of mixed-mode fatigue crack growth. Comput Mater Sci 46(3):579–58510.1016/j.commatsci.2009.04.029 ↗
37. Yang B, Mall S, Ravi-Chandar K (2001) A cohesive zone model for fatigue crack growth in quasibrittle materials. Int J Solids Struct 38(22–23):3927–394410.1016/S0020-7683(00)00253-5 ↗
38. Zerres P, Vormwald M (2014) Review of fatigue crack growth under non-proportional mixed-mode loading. Int J Fatigue 58:75–8310.1016/j.ijfatigue.2013.04.001 ↗
39. Zhang W, Tabiei A (2018) Improvement of an exponential cohesive zone model for fatigue analysis. J Fail Anal Prevent 18(3):607–61810.1007/s11668-018-0434-4 ↗