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3D shear-mode fatigue crack growth in maraging steel and Ti-6Al-4V

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Abstract

Fatigue crack growth tests in mixed-mode II + III were performed on maraging steel and Ti-6Al-4V. The 3D evolutions of the crack fronts -measured by SEM after interrupted tests- were analyzed, taking into account the reduction in effective crack driving force by the interlocking and friction of the asperities of the crack surface. Under small-scale yielding conditions, the mixed-mode crack growth rates were found to correlate best with \({\sqrt{{\Delta {\rm K}}_{\rm II}^{{\rm eff}^{2}}+1.2\Delta {\rm K}_{\rm III}^{{\rm eff}^{2}}}}\) in maraging steel, while for Ti-6Al-4V, \({\sqrt{\Delta {\rm K}_{\rm II}^{{\rm eff}^{2}}+0.9\Delta {\rm K}_{\rm III}^{{\rm eff}^{2}}}}\) appeared suitable. For extended plasticity, a crack growth prediction method is proposed and validated for Ti-6Al-4V. This method is based on elastic-plastic F.E. computations and application, ahead of each node of the crack front, of a shear-dominated fatigue criterion.

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Abbreviations

α :

angle between the precrack front and a horizontal axis

\({\Delta {\rm K}_{\rm II}^{\rm nominal}, \Delta{\rm K}_{\rm III}^{\rm nominal}}\) :

Amplitude of Mode II or Mode III stress intensity factor computed for a frictionless crack

\({\Delta {\rm K}_{\rm II}^{\rm effective}, \Delta{\rm K}_{\rm III}^{\rm effective}}\) :

Amplitude of Mode II or Mode III stress intensity factor after friction correction

E, ν :

Young’s modulus, Poisson’s ratio

G:

energy release rate

Δγ :

shear strain range along the critical plane, in Fatemi and Socie’s fatigue criterion

σ n, max :

peak opening stress along the critical plane, in Fatemi and Socie’s fatigue criterion

σ y :

yield stress

k:

a material-dependent constant in Fatemi and Socie’s fatigue criterion

βFS :

fatigue damage parameter, in Fatemi and Socie’s fatigue criterion

l :

length of the segment ahead of a point along the crack front over which the fatigue damage parameter βFS, is averaged before the computation of its fatigue life: Nfracture

References

  • Bazant ZP, Estenssoro LF (1979) Surface singularity and crack propagation. Int J Solids 15: 405–426

    Article  MATH  MathSciNet  Google Scholar 

  • Beretta S, Donzella G, Roberti R, Ghidini A (2000) Contact fatigue propagation of deep defects in rail wheels. In: Proceedings of 13th European Conference Fract. ECF13, San Sebastian, Spain vol 3R, pp 147

  • Bertolino G, Doquet V (2009) Derivation of effective ΔKII and asperity-induced KI from the measured crack faces displacements. Eng Fract Mech 76: 1574–1588

    Article  Google Scholar 

  • Brown MW, Hay E, Miller KJ (1985) Fatigue at notches subjected to reversed torsion and static axial loads. Fatigue Fract Eng M 8: 243

    Article  Google Scholar 

  • Brown MW, Hay E, Miller KJ (1985) Fatigue at notches subjected to reversed torsion and static axial loads. Fat Fract Eng Mat Struct 8: 243

    Article  Google Scholar 

  • Brown MW, Miller KJ, Fernando US, Yates JR, Suker DK (1994) Aspects of multiaxial fatigue crack propagation. In: Proceedings of 4th International Conference Biaxial/Multiaxial fatigue, Paris, vol 1, pp 3–16

  • Doquet V, Bertolino G (2008) A material and environment-dependent criterion for the prediction of fatigue crack paths in metals. Eng Fract Mech 75: 3399–3412

    Article  Google Scholar 

  • Doquet V, Bertolino G (2008) Local approach to fatigue cracks bifurcation. Int J Fatigue 30: 942–950

    Article  Google Scholar 

  • Doquet V, Abbadi M, Bui QH, Pons A (2009) Influence of the loading path on fatigue crack growth under mixed-mode loading. Int J of Fract 59: 219–232

    Article  CAS  Google Scholar 

  • Fatemi A, Socie DF (1988) A critical plane approach to multiaxial fatigue damage including out-of-phase loading. Fatigue Fract Eng Mat 14: 149–165

    Article  Google Scholar 

  • Hellier AK, Corderoy DJH, McGirr MB (1987) A practical mixed mode II/III fatigue test rig. Int J Fatigue 9: 95–101

    Article  Google Scholar 

  • Hellier AK, McGirr MB, Corderoy DJH (1991) A finite element and fatigue threshold study of shelling in heavy haul rails. Wear 144: 289–306

    Article  Google Scholar 

  • Hellier AK, Mc Girr MB, Corderoy DJH, Kutajczyk LA (1990) Fatigue of head-hardened rail steel under mode III loading. Int J Fract 42: R19–23

    Article  CAS  Google Scholar 

  • Heyder M, Kolk K, Kuhn G (2005) Numerical and experimental investigations of the influence of corner singularities on 3D fatigue crack propagation. Eng Fract Mech 72: 2095–2105

    Article  Google Scholar 

  • Heyder M, Kuhn G (2006) 3D fatigue crack propagation: experimental studies. Int J Fatigue 28: 627–634

    Article  MATH  CAS  Google Scholar 

  • Holáň L, Pippan R, Pokluda J, Horníková J, Hohenwarter A, Slámečka K (2009) Near-threshold propagation of Mode II and Mode III Cracks. International Conference on Crack Paths, Vicenza, Italy, pp 25–29

  • Hourlier F, d’Hondt H, Truchon M Pineau (1985) Fatigue crack path behavior under polymodal fatigue. In: Miller KJ, Brown M (eds) Multiaxial fatigue. ASTM STP 853, ASTM Philadelphia, USA, pp 228–248

    Chapter  Google Scholar 

  • McClintock FA, Ritchie RO (1982) In: Mura T (ed) Mechanics of Fatigue. American Society of Mechanical Engineers, AMD, vol 47, pp 1–11

  • Meade KP, Keer LM (1984) Stress intensity factors for a semi-infinite plane crack with a wavy front. J Elasticity 14: 79–92

    Article  MATH  MathSciNet  Google Scholar 

  • Murakami Y, Natsume H (2002) Stress singularity at the corner point of 3-D surface crack under mode II loading. JSME Int J 45: 61–169

    Article  Google Scholar 

  • Murakami Y, Kusumoto R, Takahashi K (2002) Growth mechanism and threshold of mode II and mode III fatigue crack. In: Proceedings of 14th European Conference on fracture, ECF14, Cracow, Poland. vol 2, pp 493–500

  • Murakami Y, Takahashi K, Kusumoto R (2003) Threshold and growth mechanism of fatigue cracks under mode II and mode III loadings. Fatigue Fract Eng M 26: 523–531

    Article  CAS  Google Scholar 

  • Murakami Y, Fukushima Y, Toyama K, Matsuoka S (2008) Fatigue crack path and threshold in Mode II and Mode III loadings. Eng Fract Mech 75: 306–318

    Article  Google Scholar 

  • Nakamura T, Parks DM (1989) Antisymmetrical 3-D stress field near the crack front of a thin elastic plate. J Solids Struct 25: 1411–1426

    Article  Google Scholar 

  • Nayeb-Hashemi H, McClintock FA, Ritchie RO (1983) Micro-mechanical modelling of mode III fatigue crack growth in rotor steels. Int J Fract 23: 163–185

    Article  Google Scholar 

  • Otsuka A, Mori K, Togho K (1987) Mode II fatigue crack growth in aluminium alloys. Curr Jpn Mat Res 1: 149–180

    Google Scholar 

  • Pinna C, Doquet V (1999) The preferred fatigue crack propagation mode in a M250 maraging steel loaded in shear. Fatigue Fract Eng M 22: 173–183

    Article  CAS  Google Scholar 

  • Pindra N, Lazarus V, Leblond JB (2008) The deformation of the front of a 3D interface crack propagating quasistatically in a medium with random fracture properties. J Mech Phys Solids 56: 1269–1295

    Article  MATH  CAS  MathSciNet  ADS  Google Scholar 

  • Planck R, Kuhn G (1999) Fatigue crack propagation under non-proportional mixed-mode loading. Eng Fract Mech 62: 203–229

    Article  Google Scholar 

  • Pokluda J, Pippan R, Slamecka K, Kolednik O (2005) Can pure mode III fatigue loading contribute to crack propagation in metallic materials?. Fatigue Fract Eng M 28: 179–185

    Article  Google Scholar 

  • Pokluda J, Trattnig G, Martinschitz C, Pippan R. (2008) Straightforward comparison of fatigue crack growth under mode II and mode III. Int J Fatigue 30: 1498–1506

    Article  CAS  Google Scholar 

  • Ritchie RO, McClintock FA, Nayeb-Hashemi H, Ritter MA (1982) Mode III fatigue crack propagation in low alloy steel. Metall Trans A 13: 101–110

    Article  Google Scholar 

  • Smith MC, Smith RA (1988) Toward an understanding of mode II fatigue crack growth, In: Fong JT, Wei RP, Fields RJ, Gangloff RP (eds) Basic questions in fatigue, ASTM STP 924. vol.1:260–280

  • Tschegg EK, Stanzl SE (1988) The significance of sliding mode crack closure on mode III fatigue crack growth. In: Fong JT, Wei RP, Fields RJ, Gangloff RP (eds) Basic questions in fatigue, ASTM STP 924, vol 1, pp 214–232

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Authors and Affiliations

  1. Laboratoire de Mécanique des Solides, UMR CNRS 7649, Ecole Polytechnique, 91128, Palaiseau cedex, France

    V. Doquet, Q. H. Bui, E. Merhy & L. Alves

  2. CONICET, Centro Atomico Bariloche, Rio Negro, Argentina

    G. Bertolino

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  1. V. Doquet
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  2. Q. H. Bui
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  3. G. Bertolino
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  4. E. Merhy
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  5. L. Alves
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Correspondence to V. Doquet.

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Doquet, V., Bui, Q.H., Bertolino, G. et al. 3D shear-mode fatigue crack growth in maraging steel and Ti-6Al-4V. Int J Fract 165, 61–76 (2010). https://doi.org/10.1007/s10704-010-9504-7

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