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Effect of Closure of a Crack Caused by the Roughness of Its Surfaces on Fatigue Fracture under the Conditions of Transverse Shear

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Abstract

We develop a model aimed at the prediction of propagation of mode II fatigue cracks with regard for the interaction of their lips caused by the roughness of the fracture surfaces. In this model, the relationship between normal and shear contact stresses is described by the Amonton's law of friction and the plastic yield of the material in the prefracture zone is taken into account with the help of the model of thin plastic strips. The method of singular integral equations is used to solve the corresponding boundary-value problem for a plate with cracks propagating from two semiinfinite collinear notches. The distribution of contact stresses is determined and the stress intensity factors and displacements of the crack lips are evaluated. The proposed example is used to analyze the basic specific features of the influence of contact of the crack lips on fatigue fracture under the action of shear loads. The obtained results are confirmed by the experimental data on the propagation of mode II fatigue cracks in specimens of HY-130 steel.

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REFERENCES

  1. D. Lal, Fatigue Crack Propagation and Fracture in Compressive Members, M. S. Thesis (Mater. Sci.), Syracuse University (1970).

  2. H. W. Liu, “Shear fatigue crack growth: a literature survey,” Fatigue Fract. Eng. Mater. Struct., 8, No. 4, 295-313 (1985).

    Google Scholar 

  3. H. W. Liu, Ki Chen, and D. Lal, “Growth of shear fatigue cracks and their analysis,” Fiz.-Khim. Mech. Mater., 29, No. 3, 124-132 (1993).

    Google Scholar 

  4. P. E. Bold, M. W. Brown, and R. J. Allen, “A review of fatigue crack growth in steels under mixed mode I and II loading,” Fatigue Fract. Eng. Mater. Struct., 15, No. 10, 965-977 (1992).

    Google Scholar 

  5. J. Qian and A. Fatemi, “Mixed mode fatigue crack growth: a literature survey,” Eng. Fract. Mech., 55, No. 6, 969-990 (1996).

    Google Scholar 

  6. M. C. Smith and R. O. Smith, “Towards an understanding of mode II fatigue crack growth,” ASTM STP, 924, 260-280 (1988).

    Google Scholar 

  7. E. K. Tschegg, “Sliding mode closure and mode III fatigue crack growth in mild steel,” Acta Met., 31, 1323-1330 (1983).

    Google Scholar 

  8. O. N. Romaniv, S. Ya. Yarema, H. N. Nykyforchyn, et al., Fatigue and Cyclic Crack Resistance of Structural Materials [in Russian], Naukova Dumka, Kiev (1990).

    Google Scholar 

  9. S. Suresh and R. O. Ritchie, “A geometrical model for fatigue crack closure induced by fracture surface roughness,” Met. Trans., 13A, No. 9, 1627-1631 (1982).

    Google Scholar 

  10. R. Ballarini and M. E. Plesha, “The effects of crack surface friction and roughness on crack tip stress fields,” Int. J. Fract., 34, No. 3, 195-207 (1987).

    Google Scholar 

  11. T. S. Gross and D. A. Mendelsohn, “On the effect of crack face contact and friction due to fracture surface roughness in edge cracks subjected to external shear,” Eng. Fract. Mech., 31, No. 3, 405-420 (1988).

    Google Scholar 

  12. J. Tong, J. R. Yates, and M. W. Brown, “A model for sliding mode crack closure. Part I: Theory for pure mode II loading,” Eng. Fract. Mech., 52, No. 4, 599-611 (1995).

    Google Scholar 

  13. X. Yu and A. Abel, “Modelling of crack surface interface under cyclic shear loads,” Fatigue Fract. Eng. Mater. Struct., 22, No. 3, 205-214 (1999).

    Google Scholar 

  14. A. O. Andreikiv, “Generalized Griffith problem of shear with regard for the roughness of crack surfaces,” Fiz.-Khim. Mech. Mater., 36, No. 2, 49-54 (2000).

    Google Scholar 

  15. V. V. Panasyuk, Limiting Equilibrium of Brittle Bodies with Cracks [in Russian], Naukova Dumka, Kiev (1968).

    Google Scholar 

  16. W. Becker and D. Gross, “About the Dugdale crack under mixed-mode loading,” Int. J. Fract., 37, No. 3, 163-170 (1988).

    Google Scholar 

  17. V. V. Panasyuk, M. P. Savruk, and A. P. Datsishin, Distribution of Stresses near Cracks in Plates and Shells [in Russian], Naukova Dumka, Kiev (1976).

    Google Scholar 

  18. N. I. Muskhelishvili, Some Basic Problems of Mathematical Theory of Elasticity [in Russian], Nauka, Moscow (1966).

    Google Scholar 

  19. M. P. Savruk, Stress Intensity Factors in Cracked Bodies [in Russian], Naukova Dumka, Kiev (1988).

    Google Scholar 

  20. RD 50-345-82. Methodical Recommendations. Strength Analysis and Tests. Methods for Mechanical Testing of Metals. Determination of the Characteristics of Crack Resistance (Fracture Toughness) under Cyclic Loading [in Russian], Introduced on 01.01.1983, Izd. Standartov, Moscow (1983).

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  1. Karpenko Physicomechanical Institute, Ukrainian Academy of Sciences, Lviv

    O. I. Darchuk

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  1. O. I. Darchuk
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Darchuk, O.I. Effect of Closure of a Crack Caused by the Roughness of Its Surfaces on Fatigue Fracture under the Conditions of Transverse Shear. Materials Science 38, 315–324 (2002). https://doi.org/10.1023/A:1021712330153

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