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Strength of Materials

, Volume 27, Issue 11–12, pp 637–651 | Cite as

Strain-energy density and failure-process zone report 2. Experimental confirmation

  • V. N. Shlyannikov
Scientific-Technical Section

Abstract

Experimental confirmation is presented for a previously obtained, theoretical relationship between the size of the failure-process zone and the total strain-energy density (SED) in dimensionless form for conditions of mixed failure modes under static and cyclic deformation. Characteristic features of subcritical crack growth are delineated for static deformation as a function of type of steel structure. Familiar literature data on the ductile-brittle transition are described, and an equation proposed for calculation of fracture toughness on the basis of standard mechanical properties of materials. Both constraint and scale effects are analyzed for failure under plane stress and plane strain within the framework of the theory under development. Characteristics of cyclic crack growth are compared with fractography data on the fatigue-stria step. It is demonstrated that the results of static and fatigue experiments for steel in different structural compositions lie on one curve common for a given specimen geometry.

Keywords

Fatigue Fracture Toughness Failure Mode Steel Structure Specimen Geometry 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    V. N. Shlyannikov, “Stain-energy density and failure-process zone. Report 1. Theoretical premises,” Probl. Prochn., No. 1, 3–17 (1995).Google Scholar
  2. 2.
    H. A. Richard, “Bruchvorhersagen beiuberlagerter normal- und Schubbeanspruchung von rissen,” VDI Forschungsheft,631, 60 (1985).Google Scholar
  3. 3.
    R. O. Ritchie, J. F. Knott, and J. R. Rice, “On the relationship between critical tensile stress and fracture toughness in mild steel,” J. Mech. Phys. Solids,21, No. 6, 395–410 (1973).Google Scholar
  4. 4.
    N. A. Makhutov, Deformation Criteria of Failure and Strength Calculation for Structural Elements [in Russian], Mashinostroenie, Moscow (1981).Google Scholar
  5. 5.
    D. Tenhaeff, Untersuchungen zum Ausbreitungsverhalten von Rissen bei Uberlagerter Normal- und Schubbeanspruchung, Dissertation, University of Kaiserslautern, (1987).Google Scholar
  6. 6.
    Handbook on Stress Intensity Factors [Russian translation], edited by W. Murakami, Vols. 1 and 2, Mir, Moscow (1990).Google Scholar
  7. 7.
    V. N. Shlyannikov and N. A. Ivan'shin, “Stress intensity factors for cracks of complex shape under biaxial load of arbitrary direction,” Izv. Vuzov. Aviats. Tekhn., No. 4, 72–79 (1983).Google Scholar
  8. 8.
    V. N. Shlyannikov and N. Z. Braude, “A model for predicting crack growth rate from mixed mode fracture under biaxial loads,” Fatigue Fract. Mater. Struct.,15, 825–844 (1992).Google Scholar
  9. 9.
    C. F. Shih, “Small-scale yielding analysis of mixed mode plane strain crack problems,” Fract. Anal., Am. Soc. Testing Mater. STP 560, 187–210 (1974).Google Scholar
  10. 10.
    J. R. Rice and M. A. Johnson, “On the large geometric change at the crack tip,” in: Inelastic Behavior of Solids, edited by M. Kanninen et al., McGraw-Hill, New York (1970), pp. 641–655.Google Scholar
  11. 11.
    A. Ya. Krasovskii, Low-temperature Brittleness of Metals [in Russian], Naukova Dumka, Kiev (1980).Google Scholar
  12. 12.
    D. J. Neville, “On the distance criterion for failure at the tips of cracks, minimum fracture toughness, and nondimensional toughness parameters,” J. Mech. Phys. Solids,36, No. 4, 443–457 (1988).Google Scholar
  13. 13.
    V. Tvergaard and J. W. Hutchinson, “The relation between crack growth resistance and fracture process parameters in elastic-plastic solids,” ibid.,40, No. 6, 1377–1397 (1992).Google Scholar
  14. 14.
    G. S. Sih, “The role of fracture mechanics in design technology,” Am. Soc. Mech. Eng. J. Eng. Ind., No. 4, 113–122 (1976).Google Scholar
  15. 15.
    J. W. Hutchinson, “Fundamentals of the phenomenological theory of nonlinear fracture mechanics,” J. Appl. Mech.,50, No. 4b, 1042–1051 (1983).Google Scholar
  16. 16.
    F. Ellin, “The effect of tensile-mean-strain on plastic strain energy and cyclic response,” Am. Soc. Mech. Eng. J. Eng. Mater. Techn.,107, 25–32 (1985).Google Scholar
  17. 17.
    D. Kujawski and F. Ellin, “On the size of plastic zone ahead of crack tip,” Eng. Fract. Mech.,25, 229–236 (1986).Google Scholar
  18. 18.
    F. Ellin, “Crack growth rate under cyclic loading and effect of singularity fields,” ibid,25, 463–473 (1986).Google Scholar
  19. 19.
    D. Kujawski and D. Ellin, “A fatigue crack growth model with load ratio effects,” ibid,28, 367–378 (1987).Google Scholar
  20. 20.
    F. Ellin and K. Golos, “Multiaxial fatigue damage criterion,” Am. Soc. Mech. Eng. J. Eng. Mater., Techn.,1, 63–74 (1988).Google Scholar
  21. 21.
    R. Golos and F. Ellin, “A total strain energy density for cumulative fatigue damage,” Am. Soc. Mech. Eng. J. Pressure Vessel Techn.,1, 36–44 (1988).Google Scholar
  22. 22.
    J. Collins, Material Damage in Structures [Russian translation], Mir, Moscow (1984).Google Scholar
  23. 23.
    V. N. Shlyannikov, “Nonlinear fracture criterion for mixed modes under biaxial loading,” in: Proceedings of the Fourth International Conference on Biaxial/Multiaxial Fatigue, Vol. 2, Paris, France (1994), pp. 75–88.Google Scholar

Copyright information

© Plenum Publishing Corporation 1996

Authors and Affiliations

  • V. N. Shlyannikov
    • 1
  1. 1.Kazan' Physicotechnical InstituteKazan'Russia

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