Skip to main content

Fracture Mechanics and Fatigue Crack Propagation

  • Chapter
Fatigue as a Design Criterion
  • 104 Accesses

Abstract

The methods of analysis proposed for assessing the integrity of components in the HCF region (discussed in Chapters 2 and 3) are concerned with total life considerations where the cyclic life spent in fatigue crack propagation may be considered small. This supposes that the life to crack formation and that to fracture are more or less coincident. In Chapter 5, the cyclic life involved in crack formation in the intermediate and LCF regions, where macroplasticity may accumulate cyclically, was discussed in some detail, but life predictions were limited to that of producing an engineering crack. Pre-existing flaws or defects have not so far been specifically considered, although the statistical nature of fatigue is, to some extent, due to inhomogeneities and structural and microstructural defects of one kind or another. The scatter in fatigue life is more prevalent in the HCF region where nucleation and crack formation takes longer, and since nucleation commences at local weaknesses or defects, this observation is not surprising.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Griffith, A. A., Phenomenon of Rupture and Flaws in Solids, Phil. Trans. Roy. Soc. Series A, 221, 163–198 (1920)

    Article  Google Scholar 

  2. Knott, J. F., Fundamentals of Fracture Mechanics, Butterworths, London (1973)

    Google Scholar 

  3. Felbeek, D. J. and Orowan, E., Experiments on Brittle Fracture of Steel Plates, Welding J. Res. Suppl., 34, 5705–5755 (1955)

    Google Scholar 

  4. Irwin, G. R., Fracture, Encyclopedia of Physics, Vol. 6, p. 551, Springer, Heidelberg (1958)

    Google Scholar 

  5. Irwin, G. R., Onset of Fast Crack Propagation in High Strength Steels and Aluminium Alloys, NRL Report 4763 (1956)

    Google Scholar 

  6. Irwin, G. R., Kies, J. A. and Smith, H. L., Fracture Strength Relative to Onset and Arrest of Crack Propagation, Proc. Amer. Soc. Test. Mater. 58, 640 (1958)

    Google Scholar 

  7. Paris, P. C. and Sih, G. C., Stress Analysis of Cracks, Fracture Toughness Testing, ASTM STP 381, Am. Soc. for Testing and Mater., Philadelphia (1967)

    Google Scholar 

  8. Sneddon, I. N., Distribution of Stress in the Neighbourhood of a Crack in an Elastic Solid, Proc. Roy. Soc., A187, 229 (1946), 229–60, October 22, 1946

    Article  Google Scholar 

  9. Erdogan, F., Fracture Problems in Composite Materials, Engng Fracture Mechanics, 4 (4), 811 (1972)

    Article  Google Scholar 

  10. Brown, W. F. and Srawley, J. E., Plain Strain Testing of High Strength Metallic Materials, ASTM STP 410, Am. Soc. for Testing and Mater., Philadelphia (1966)

    Google Scholar 

  11. Rice, J. R., Mechanics of Crack Tip Deformation and Extension by Fatigue, Fatigue Crack Propagation ASTM STP 415, Am. Soc. for Testing and Mater. (1967)

    Google Scholar 

  12. Irwin, G. R., The Crack Extension Force for a Part-Through Crack in a Plate, Trans. Am. Soc. mech. Engrs, J. app. Mech., 84 (4), 651–4 (1963)

    Google Scholar 

  13. McConnell, L. D., Cranfield Institute of Technology, Private Communication

    Google Scholar 

  14. B.S. 5447: 1977, Methods for Plane Strain Fracture Toughness, British Standards Institution, London (1977)

    Google Scholar 

  15. Brown, W. F. (Ed.), Tentative Method of Test for Plane Strain Fracture Toughness of Metallic Materials, Review of Developments in Plane Strain Fracture Toughness Testing, ASTM STP 463, Am. Soc. for Testing and Mater. (1970)

    Google Scholar 

  16. Frost, N. E. and Dugdale, D. S., The Propagation of Fatigue Cracks in Sheet Specimens, J. Mech. Phys. of Solids, 6, 92–110 (1958)

    Article  Google Scholar 

  17. Liu, H. W., Crack Propagation in Thin Metal Shut Under Repeated Loading, Trans. Am. Soc. mech. Engrs, Series D, 83 (1961), 23

    Google Scholar 

  18. Liu, H. W., Fatigue Crack Propagation and Applied Stress Range — An Energy Approach, Trans. Am. Soc. mech. Engrs, Series D, 85 (1963), 116

    Google Scholar 

  19. Christensen, R. H. and Harmon, M. B., Limitations of Fatigue Crack Research in the Design of Flight Vehicle Structures, Fatigue Crack Propagation ASTM STP 415, Am. Soc. for Testing and Mater. (1967)

    Google Scholar 

  20. Paris, P. C., The Fracture Mechanics Approach to Fatigue — An Interdisciplinary Approach, Proc. 10th Sagamore Army Materials Research Conference, Syracuse University Press, New York (1964)

    Google Scholar 

  21. Paris, P. C. and Erdogan, F., A Critical Analysis of Crack Propagation Laws, J. basic Engng, ASME Series D, 85 (1963), 528

    Article  Google Scholar 

  22. Ritchie, R. O. and Knott, J. F., Mechanisms of Fatigue Crack Growth in Low Alloy Steel, Acta Met., 21, 639 (1973)

    Article  Google Scholar 

  23. Frost, N. E., Pook, L. P. and Dentan, K., A Fracture Mechanics Analysis of Fatigue Crack Growth Data for Various Materials, Engng fracture Mechanics, 3 (2) 109 (1971)

    Article  Google Scholar 

  24. Broek, D. and Schijve, J., The Influence of Mean Stress on the Propagation of Cracks in Aluminium Alloy Sheets, NRL — Tech. Rep. No. M211 (1963)

    Google Scholar 

  25. Forman, R. G., Kearney, V. E. and Engle, R. M., Numerical Analysis of Crack Propagation in Cyclic Loaded Structures, J. basic Engng, 89, 549 (1967)

    Google Scholar 

  26. Roberts, R. and Erdogan, F., The Effect of Mean Stress on Fatigue Crack Propagation in Plates Under Extension and Bending, Trans. Am. Soc. Mech. Engrs, J. basic Engng, 89, 885 (1967)

    Article  Google Scholar 

  27. Erdogan, F. and Roberts, R., A Comparative Study of Crack Propagation in Plates Under Extension and Bending, Proc. Int. Conf. on Fracture, Sendian, Japan (1965)

    Google Scholar 

  28. Duggan, T. V., Application of Fatigue Data to Design — Crack Propagation in a Simulated Component Under Cyclic Loading Conditions, Ph.D. Thesis, Portsmouth (1973)

    Google Scholar 

  29. Roberts, R. and Kibler, J. J., Some Aspects of Fatigue Crack Propagation, Engng Fracture Mechanics, 2, 243 (1971)

    Article  Google Scholar 

  30. Duggan, T. V., A Theory for Fatigue Crack Propagation, Symposium on Mechanical Behaviour of Materials, Kyoto, Japan (1974)

    Google Scholar 

  31. Frost, N. E. and Greenan, A. F., Cyclic Stress Required to Propagate Edge Cracks in Eight Materials, J. mech. Engng Sci., 6 (3), 203–210 (1954)

    Article  Google Scholar 

  32. Rizk, W. and Seymour, D. F., Investigations into the Failures of Gas Circulators and Circuit Components at Hinkley Point Nuclear Power Stations, Proc. Inst. mech. Engrs, 179 (1 No. 21), 627 (1964–5)

    Article  Google Scholar 

  33. Richards, C. E., Lindley, T. C. and Ritchie, R. O., The Mechanics and Mechanisms of Fatigue Crack Growth in Metals, Conf. on The Mechanics and Physics of Fracture, Churchill College, Cambridge Jan. (1975)

    Google Scholar 

  34. Richards, C. E. and Lindley, T. C., The Influence of Stress Intensity and Microstructure on Fatigue Crack Propagation in Ferritic Materials, Engng fracture Mechanics, 4 (4) 1972

    Google Scholar 

  35. Cooke, R. J., Irving, P. E., Booth, G. S. and Beevers, C. J., The Slow Fatigue Crack Growth and Threshold Behaviour of a Medium Carbon Alloy Steel in Air and Vacuum, Eng. Fract. Mech., 7 (1) (1975)

    Google Scholar 

  36. Irving, P. E., Robinson, J. L., Cooke, R. J. and Beevers, C. J., Conf on The Mechanics and Mechanisms of Fatigue Crack Growth in Metals, Churchill College, Cambridge, January (1975)

    Google Scholar 

  37. Frost, N. E., Marsh, K. J., Pook, L. P., Metal Fatigue, Oxford Engineering Science Series, p. 264 (1974)

    Google Scholar 

  38. Ellison, E. G. and Walton, D., Fatigue, Creep and Cyclic Crack Propagation in a 1 Cr-Mo-V Steel, International Conf. on Creep and Fatigue in Elevated Temperature Applications, Philadelphia, Sept. 1973 and Sheffield, April, London (1975)

    Google Scholar 

  39. Coffin, L. F., The Effect of High Vacuum on the Low Cycle Fatigue Law, Metals Transactions, 3, 1777 (1972)

    Article  Google Scholar 

  40. Coffin, L. F., The Effect of Vacuum on the High Temperature Low Cycle Fatigue Behaviour of Structural Metals, Corrosion Fatigue; Chemistry, Mechanics and Microstructure, NACE Houston, NACE-2, p. 590–600 (1972)

    Google Scholar 

  41. International Conference on Creep and Fatigue in Elevated Temperature Applications, Philadelphia, September, 1973 and Sheffield, April (1974)

    Google Scholar 

  42. Wei, R. P. and Landes, J. D., Correlation between Sustained-load and Fatigue Crack Growth in High Strength Steels, Mater. Res. and Stds., 9 (7), 25–28 (1969)

    Google Scholar 

  43. Gerberich, W. W., Birat, J. P. and Zackay, V. F., Superposition Model for Environmentally Assisted Fatigue Crack Propagation, International Conference on Corrosion Fatigue, Stons, Conn., 14th June (1971)

    Google Scholar 

  44. Nicholson, C. E., Influence of Mean Stress and Environment on Crack Growth, British Steel Corporation, Conf. on Mechanics and Mechanisms of Crack Growth, Cambridge University, 4–6 April (1973)

    Google Scholar 

  45. Barsorn, J. M., Corrosion Fatigue Crack Propagation below Kiss c, Engng Fracture Mech., 3, 15–25 (1971)

    Article  Google Scholar 

  46. Weeks, R. W., Kassner, T. F. and Weins, J. J., Influence of Sodium and Radiation on the Creep and Fatigue of Fast Reactor Components, International Conference on Creep and Fatigue In Elevated Temperature Applications, Philadelphia, September (1973) and Sheffield, April (1974)

    Google Scholar 

  47. Radon, J. C. and Culver, L. E., Intergranular Stress Corrosion and Corrosion Fatigue of Aluminium Alloy RR 58 — a Fracture Mechanics Approach, Symposium on Mechanical Behaviour of Materials, Kyoto, Japan (1974)

    Google Scholar 

  48. Brooks, D. A. and Duggan, T. V., A Study of Fatigue Crack Propagation in a 21 per cent Nickel—Chromium—Molybdenum Direct Hardening Steel, Tech. Report No. F314, Portsmouth Polytechnic (1974)

    Google Scholar 

  49. Walker, E. F. and May, M. J., Compliance Functions for Various Types of Test Specimen Geometry, BISRA Report No. MG/E/307/67, London (1967)

    Google Scholar 

  50. Gross, B. and Scrawley, J. E., Stress Intensity Factors for Single Edge Notch Specimens in Bending or Combined Bending and Torsion by Boundary Collocation of a Stress Function, Tech. Note D-2603, NASA (1965)

    Google Scholar 

  51. Smith, R. A., The Determination of Fatigue Crack Growth Rates from Experimental Data, Int. J. Fracture, 9, 452–5 (1973)

    Google Scholar 

  52. McCartney, L. N. and Gale, B., A Generalised Theory of Fatigue Crack Propagation, Proc. Roy. Soc., A, 322–41, London (1971)

    Google Scholar 

  53. Scrawley, J. E. and Gross, B., Stress Intensity Factors for Crackline Loaded Edge-crack Specimens, NASA Tech. No. TD-D-3820 (1967)

    Google Scholar 

  54. Irwin, G. R. and Kies, J. A., Critical Energy Rate Analysis of Fracture Strength, Welding J. Res. Suppl., 33, 1935 (1954)

    Google Scholar 

  55. Duggan, T. V., Assessment of Fatigue Crack Propagation in a Welded Diesel Engine Piston, Tech. Rep. No. F317, Portsmouth Polytechnic (1975)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Copyright information

© 1977 Terance V. Duggan and James Byrne

About this chapter

Cite this chapter

Duggan, T.V., Byrne, J. (1977). Fracture Mechanics and Fatigue Crack Propagation. In: Fatigue as a Design Criterion. Palgrave, London. https://doi.org/10.1007/978-1-349-03222-8_6

Download citation

  • DOI: https://doi.org/10.1007/978-1-349-03222-8_6

  • Publisher Name: Palgrave, London

  • Print ISBN: 978-1-349-03224-2

  • Online ISBN: 978-1-349-03222-8

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics