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The Shielding Effect of the Plastic Zone at Mode-II Crack Tip

  • Letters in Fracture and Micromechanics
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Abstract

An analytical solution for prediction of the stress intensity factor (SIF) induced by plastically deformed zone at mode-II crack tip is presented under small scale yielding conditions. A significant shielding effect has been indicated, which is strongly affected by the strain-hardening behavior of the material, the applied stress and the T -stress.

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References

  • Ayatollahi M.R., Pavier M.J., Smith D.J. (2002) Mode I cracks subjected to large T-stresses. Int. J. Fract. 117: 159–174

    Article  Google Scholar 

  • Barenblatt G.I. (1962) The mathematical theory of equilibrium cracks in brittle fracture. Adv. Appl. Mech. 5: 55–129

    Article  Google Scholar 

  • Becker W., Gross D. (1968) About the Dugdale crack under mixed-mode loading. Int. J. Fract. 37: 163–171

    Article  Google Scholar 

  • Betagon C., Hancock J.W. (1991) Two parameter characterization of elastic-plastic crack-tip fields. J. Appl. Mech. 58: 104–110

    Article  Google Scholar 

  • Budiansky B., Hutchinson J.W., Lambropoulos J.C. (1983) Continuum theory of dilatant transformation toughening in ceramics. Int. J. Solids Struct. 19: 337–355

    Article  Google Scholar 

  • Dugdale D.S. (1960) Yielding of steel sheets containing slits. J. Mech. Phys. Solids 8: 100–108

    Article  Google Scholar 

  • Hutchinson J.W. (1987) Crack tip shielding by micracracking in brittle solids. Acta Mettall. 35: 1605–1619

    Article  CAS  Google Scholar 

  • Irwin, G.R., (1960). Plastic zone near a crack and fracture toughness. Prov. Seventh Sagomore Ordnance Mater. Res. Conf. vol. IV, 63-78.

  • Jiang Y., Feng M., Ding F. (2005) A reexamination of plasticity-induced crack closure in fatigue crack propagation. Int. J. Plasticity 21: 1720–1740

    Article  CAS  Google Scholar 

  • Kang K.J., Beom H.G. (2000) Plastic zone size near the crack tip in a constrained ductile layer under mixed mode loading. Eng. Fract. Mech. 66: 257–268

    Article  Google Scholar 

  • Lambropoulous J.C. (1986) Shear, shape and orientation effects in transformation toughening in ceramics. Int. J. Solids Struct. 22: 1083–1106

    Article  Google Scholar 

  • Larsson S.G., Carlsson A.J. (1973) Influence of non-singular stress terms and specimen geometry on small-scale yielding at crack-tip in elastic-plastic materials. J. Mech. Phys. Solids 21: 447–473

    Article  Google Scholar 

  • Li R., Chudnovsky A. (1993) Energy analysis of crack interaction with an elastic inclusion. Int. J. Fract. 63: 247–261

    Article  Google Scholar 

  • Li Z., Chen Q. (2002) Crack-inclusion for mode I crack analyzed by Eshelby equivalent inclusion method. Int. J. Fract. 118: 29–40

    Article  Google Scholar 

  • Mura, T., (1987). Micromechanics of defects in solids. Second revised edition, Dordrecht.

  • Neimitz A (2004) Modification of Dugdale model to include the work hardening and in and out-of-plane constraints. Eng. Fract. Mech. 71: 1585–1600

    Article  Google Scholar 

  • Panasyuk V.V., Sayruk M.P. (1992) Plastic strip model in elastic-plastic problems of fracture mechanics. Adv. Mech. 15: 123–147

    Google Scholar 

  • Park H.B., Kim K.M., Lee B.W. (1996) Plastic zone size in fatigue cracking. Int. J. Ves. & Piping 68: 279–285

    Article  CAS  Google Scholar 

  • Rice J.R. (1974) Limitations to the small scale yielding approximation for crack tip plasticity. J. Mech. Phys. Solids 22: 17–26

    Article  Google Scholar 

  • Yang L., Chen Q., Li Z. (2004) Crack-inclusion interaction for mode II crack analyzed by Eshelby equivalent inclusion method. Eng. Fract. Mech. 71: 1421–1433

    Article  Google Scholar 

  • Zhu P., Yang L., Li Z., Sun J. (2010) The shielding effect of the crack-tip plastic zone. Int. J. Fract. 161: 283–288

    Article  Google Scholar 

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Correspondence to R. Zhou.

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Zhou, R., Zhu, P. & Li, Z. The Shielding Effect of the Plastic Zone at Mode-II Crack Tip. Int J Fract 171, 195–200 (2011). https://doi.org/10.1007/s10704-011-9627-5

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  • DOI: https://doi.org/10.1007/s10704-011-9627-5

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