International Journal of Fracture

, Volume 102, Issue 4, pp 341–353 | Cite as

Role of plastic zone in crack growth direction criterion under mixed mode loading

  • K. Golos
  • B. Wasiluk


An approach to determine the crack growth direction under mixed-mode loading conditions is presented. The plastic zone shape around the crack tip is applied for evaluating angle of crack propagation. It is proposed that a mixed-mode crack will extend along the plastic zone radius with a minimum value. The prediction of the proposed criterion is compared with the experimental data and other models. The agreement is fairly good.

Mixed-mode loading plastic zone crack growth direction. 


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  1. Boniface, V. and Simha, K.R.Y. (1991). A plastic zone model of mixed mode fracture. International Journal of Fracture 48, R9–R12.Google Scholar
  2. Chambers, A.C., Hyde, T.H. and Webster, J.J. (1990). Mixed mode fatigue crack growth at 550ºC under plane stress conditions in jethete M1152. 44, 39–42.Google Scholar
  3. Eftis, J. and Subramonian, N. (1978). The inclined crack under biaxial load. Engineering Fracture Mechanics 10, 43–67.Google Scholar
  4. Erdogan, F. and Sih, G.C. (1963). On the crack extension in plates under plane loading and transverse shear loading. Journal of Basic Engineering ASME Transactions. 85, 519–525.Google Scholar
  5. Finnie, I. and Saith, A. (1973). A note on the angled problem and directional stability of crack. International Journal of Fracture 9, 484–486.Google Scholar
  6. Golos, K. (1988). Fracture energy criterion for fatigue crack propagation. Archiwum Budowy Maszyn 35, 5–16.Google Scholar
  7. Golos, K., Osinski, Z. and Wasiluk, B. (1996). Mixed mode (I+II) model of fatigue crack growth. Mechanisms and Mechanics of Damage and Failure ECF 11(Edited by J. Petit), EMAS 2, 1107–1112.Google Scholar
  8. Hellen, T.K. and Blackburn, W.S. (1975). The calculation of stress intensity factors for combined tensile and shear loading. International Journal of Fracture 11, 605–617.Google Scholar
  9. Iida, S. and Kobayashi, A.S. (1969). Crack propagation rate in 7075-T3 plates under cyclic tensile and transverse shear loading. Journal of Basic Engineering ASME Transactions 91, 519–525.Google Scholar
  10. Irwin, G.R. (1975). Transaction American Society of Mechanical Engineers. 79, 361–364.Google Scholar
  11. Irwin, G. (1958). Handbook of Physics 6, 551–590.Google Scholar
  12. Li, C. (1989). Vector CTD criterion applied to mixed mode fatigue crack growth. Fatigue Fracture Engineering Material Structures 12, 59–65.Google Scholar
  13. Muskhelishvili, N.I. (1963). Some Basic Problems of the Mathematical Theory of Elasticity.4th Edn. Noordhoff Groningen.Google Scholar
  14. Paris, P.C. (1965). The fracture mechanics approach to fatigue. Proceedings of the 10th Sagamore ConferenceSyracuse University Press, 104.Google Scholar
  15. Paris, P.C. and Sih, G.C. (1964). Applied fracture mechanics. ASTM STP 381, 249–278.Google Scholar
  16. Pook, L.P. (1971). Engineering Fracture Mechanical 3, 205–218.Google Scholar
  17. Rice, J.R. (1967). Mechanics of crack tip deformation and extension by fatigue. Fatigue Crack Propagation ASTM STP 415, 247–309.Google Scholar
  18. Seibi, A.C. and Zamrik, S.Y. (1997). Prediction of crack initiation direction for surface flaws under biaxial loading. '97 Poland 2, 611–622.Google Scholar
  19. Sih, G.C. (1974). Strain energy density factor applied to mixed mode crack problems. International Journal of Fracture 10, 305–321.Google Scholar
  20. Shlyannikov, V.N. and Braude, N.Z. (1992). A model for predicting crack growth rate for mixed mode fracture under biaxial loads. Fatigue Fracture Engineering Material Structure 15, 825–844.Google Scholar
  21. Swedlow, J.L. (1976). Criterion for growth of the angled crack. Crack and Fracture ASTM STP 601, 506–521.Google Scholar
  22. Theocaris, P.S. and Andrianopoulos, N.P. (1982). The T-criterion applied to ductile fracture. International Journal of Fracture 20, 125–130.Google Scholar
  23. Williams, M.L. (1957). On the stress distribution at the base of a stationary crack. Journal of Applied Mechanics 24, 109–114.Google Scholar
  24. Wu, X. and Li, X. (1989). Analysis and modification of fracture criteria for mixed mode crack. Engineering Fracture Mechanics 34, 55–6.Google Scholar

Copyright information

© Kluwer Academic Publishers 2000

Authors and Affiliations

  • K. Golos
    • 1
  • B. Wasiluk
    • 2
  1. 1.Institute of Machine Design FundamentalsWarsaw University of TechnologyWarsawPoland
  2. 2.Institute of Machine Design FundamentalsWarsaw University of TechnologyWarsawPoland

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