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On the driving force for fatigue crack formation from inclusions and voids in a cast A356 aluminum alloy

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Abstract

Monotonic and cyclic finite element simulations are conducted on linear-elastic inclusions and voids embedded in an elasto-plastic matrix material. The elasto-plastic material is modeled with both kinematic and isotropic hardening laws cast in a hardening minus recovery format. Three loading amplitudes (Δε/2=0.10%, 0.15, 0.20%) and three load ratios (R=−1, 0, 0.5) are considered. From a continuum standpoint, the primary driving force for fatigue crack formation is assumed to be the local maximum plastic shear strain range, Δγmax, with respect to all possible shear strain planes. For certain inhomogeneities, the Δγmax was as high as ten times the far field strains. Bonded inclusions have Δγmax values two orders of magnitude smaller than voids, cracked, or debonded inclusions. A cracked inclusion facilitates extremely large local stresses in the broken particle halves, which will invariably facilitate the debonding of a cracked particle. Based on these two observations, debonded inclusions and voids are asserted to be the critical inhomogeneities for fatigue crack formation. Furthermore, for voids and debonded inclusions, shape has a negligible effect on fatigue crack formation compared to other significant effects such as inhomogeneity size and reversed loading conditions (R ratio). Increasing the size of an inclusion by a factor of four increases Δγmax by about a factor of two. At low R ratios (−1) equivalent sized voids and debonded inclusions have comparable Δγmax values. At higher R ratios (0, 0.5) debonded inclusions have Δγmax values twice that of voids.

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References

  • ABAQUS/Standard user manual (1994). vol. 1-6, U.S.A., Hibbitt, Karlsson, & Sorensen, Inc.

  • Bammann, D.J., M.L. Chiesa, M.F. Horstemeyer, and L.I. Weingarten (1993). Failure in Ductile Materials Using Finite Element Methods. Structural Crashworthness and Failure, (edited by N. Jones and T. Weirzbicki), Elsevier Applied Science, ch. 1, p. 1.

  • Bammann, D.J., Chiesa, M.L. and Johnson, G.C. (1996). Modeling large deformation and failure in manufacturing processes. Theoretical Applied Mechanics, (edited by Tatsumi, Wannabe, and Kambe), Elsevier Science, p. 259.

  • Bathias, C. (1998). Relation between endurance limits and thresholds in the field of gigacycle fatigue. ASTM Fall Meeting. Norfolk, VA.

  • Bowles, C.Q. and Schijve, J. (1973). The role of inclusions in fatigue crack initiation in an aluminum alloy. International Journal of Fracture 9, 171-179.

    Google Scholar 

  • Dighe, M.D. and Gokhale, A.M. (1997). Relationship Between Microstructural Extremium and Fracture Path in a Cast Al-Si-Mg Alloy. Scr. Mett. 37, 1435.

    Google Scholar 

  • Eshelby, J.D. (1957). The elastic field outside an elliptical inclusion. Proceedings of the Royal Society of London A252, 561.

    Google Scholar 

  • Fatemi, A. and Socie, D. (1988). A critical plane approach to multiaxial fatigue damage including out of phase loading. Fat. Frac. Eng. Mat. Struc. (Author spell out please, etc.) 11, 145-165.

    Google Scholar 

  • Fatemi, A. and Kurath, P. (1988). Multiaxial fatigue life predictions under the influence of mean stresses. J. Eng. Mat. Tech. 110, 380-388.

    Google Scholar 

  • Forsyth, P.J.E. (1953). Exudation of material from slip bands at the surface of fatigued crystals of an aluminumcopper alloy. Nature 171, 172-173.

    Google Scholar 

  • Fleck, N.A., Hutchinson, J.W. and Tvergaard, V. (1989). Softening by Void Nucleation and Growth in Tension and Shear. J. Mech. Phys. Solids 37, 515-540.

    Google Scholar 

  • Gall, K., Yang, N., Horstemeyer, M.F., McDowell, D.L. and Fan, J.H. (1999a), The influence of modified intermetallics and Si particles on fatigue crack paths in a cast A356 Al alloy. Fat. Frac. Eng. Mat. Struc., in press.

  • Gall, K., Yang, N., Horstemeyer, M.F., McDowell, D.L. and Fan, J.H. (1999b). The debonding and fracture of Si particles during the fatigue of a cast Al-Si alloy. Metall. Trans., in press.

  • Gall, K., Horstemeyer, M.F., McDowell, D.L. and Fan, J.H. (1999c). Finite element analysis of the debonding and fracture of Si particle clusters in cast Al-Si alloys subjected to cyclic loading conditions. Mech. Mater., accepted.

  • Grosskreutz, J.C. and Shaw, G.G. (1969). Critical mechanisms in the development of fatigue cracks in 2024-T4 aluminum. Fracture 1969, Proc. 2nd Int. Conf. Frac., Brighton, 620-629.

  • Gungor, S. and Edwards, L. (1993). Effect of surface texture on fatigue life in a squeeze cast 6082 aluminum alloy. Fat. Frac. Eng. Mat. Struc. 16, 391-403.

    Google Scholar 

  • Harkegard, G. (1973). A Finite Element Analysis of Elastic-Plastic Plates Containing Cavities and InclusionsWith Reference to Fatigure Crack Initiation. International Journal of Fracture 9, 437-447.

    Google Scholar 

  • Harvey, S.E., Marsh, P.G. and Gerberich, W.W. (1994). Atomic force microscopy and modeling of fatigue crack initiation in metals. Acta. Metall. Mater. 42, 3493-3502.

    Google Scholar 

  • Hyzak, J.M. and Bernstein, I.M. (1982). The effect of defects on the fatigue crack initiation process in two P/M superalloys: Part I. Fatigue origins. Metall. Trans. 13A, 33-43.

    Google Scholar 

  • Katagiri, K., Omura, A., Koyanagi, K., Awatani, J., Shiraishi, T. and Kaneshiro, H. (1977). Early stage crack tip morphology in fatigued copper. Metall. Trans. 8A, 1769-1773.

    Google Scholar 

  • Kim, W.H. and Laird, C. (1978). Crack nucleation and stage I propagation in high strain fatigue - II. Mechanism. Acta. Metall. 26, 789-799.

    Google Scholar 

  • Kung, C.Y. and Fine, M.E. (1979). Fatigue crack initiation and microcrack growth in 2024-T4 and 2124-T4 aluminum alloys. Metall. Trans. 10A, 603-610.

    Google Scholar 

  • Lankford, J and Kusenberger, F.N. (1973). Initiation of fatigue cracks in 4340 steel. Mett. Trans. 4, 553-559.

    Google Scholar 

  • Lankford, J. (1976). Inclusion-matrix debonding and fatigue crack initation in low alloy steel. Int. J. Frac. 12, 155-157.

    Google Scholar 

  • Laz, P.J. and Hillberry, B.M. (1998). Fatigue life prediction from inclusion initiated cracks. Int. J. Fat. 20, 263-270.

    Google Scholar 

  • Lukas, P. (1996). Fatigue crack nucleation and microstructure. ASM Handbook 19 Fatigue and Fracture, ASM International, 96-109.

  • McDowell, D.L. (1995). Stress state dependence of the cyclic ratchetting behavior of two Rail steels. Int. J. Plas. 11, 397-421.

    Google Scholar 

  • McDowell, D.L. (1996a). Multiaxial fatigue strength. ASM Handbook 19, 263-273.

    Google Scholar 

  • McDowell, D.L. (1996b). Basic issues in the mechanics of high cycle metal fatigue, International Journal of Fracture 80, 103-145.

    Google Scholar 

  • Morris, W.L., Buck, O. and Marcus, H.L. (1976). Fatigue crack initiation and early propagation in Al 2219-T851. Metall. Trans. 7A, 1161-1165.

    Google Scholar 

  • Morris, W.L. (1978). The effects of intermetallics composition and microstructure on fatigue crack initiation in Al 2219-T851. Metall. Trans. 9A, 1345-1348.

    Google Scholar 

  • Murakami, Y. and Endo, M. (1994). Effects of defects, inclusions, and inhomogeneities on fatigue strength. Fatigue 16, 163-182.

    Google Scholar 

  • Newman, J.C. Jr. (1992). FASTRAN II-A Fatigue Crack Growth Structural Analysis Program. NASA-TM-104159, NASA Langley Research Center.

  • Plumtree, A. and Schafer, S. (1986). Initiation and short crack behavior in aluminum alloy castings. The Mechanical Behavior of Short Fatigue Cracks, (edited by Miller, K.J. and de los Rios, E.R., EGF Publication 1, Suffolk, UK, 215-227.

  • Shiozawa, K., Tohda, Y. and Sun, S-M. (1997). Crack initiation and small fatigue crack growth behavior of squeeze-cast Al-Si aluminum alloys. Fat. Frac. Eng. Mat. Struc. 20, 237-247.

    Google Scholar 

  • Sundstrom, B. (1974). An energy condition for initiation of interfacial microcracks at inclusions. Eng. Frac. Mech. 6, 483-492.

    Google Scholar 

  • Suresh, S. (1991). Fatigue of Materials, Cambridge University Press, New York, NY.

    Google Scholar 

  • Tanaka, K. and Mura, T. (1982). A theory of fatigue crack initiation at inclusions. Metall. Trans. 13A, 117-123.

    Google Scholar 

  • Venkataraman, G., Chung, Y.-W., Nakasone, Y. and Mura, T. (1990). Free energy formulation of fatigue crack initiation along persistent slip bands: calculation of S-N curves and crack depths. Acta. Metall. Mater. 38, 31-40.

    Google Scholar 

  • Venkataraman, G., Chung, Y.-W. and Mura, T. (1991). Application of minimum energy formalism in a multiple slip band model for fatigue - I. Calculation of slip band spacings. Acta. Metall. Mater. 39, 2621-2629.

    Google Scholar 

  • Venkataraman, G., Chung, Y.-W. and Mura, T. (1991). Application of minimum energy formalism in a multiple slip band model for fatigue - I. Crack nucleation and derivation of a generalized Coffin-Manson Law. Acta. Metall. Mater. 39, 2631-2638.

    Google Scholar 

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Authors and Affiliations

  1. Materials & Engineering Sciences Center, Solid & Material Mechanics Department, Sandia National Laboratories, Livermore, CA , 94550, USA

    Ken Gall, Mark F. Horstemeyer & Brett W. Degner

  2. GWW School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA , 30332, USA

    David L. McDowell & Jinghong Fan

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  1. Ken Gall
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  2. Mark F. Horstemeyer
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  3. Brett W. Degner
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  4. David L. McDowell
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  5. Jinghong Fan
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Gall, K., Horstemeyer, M.F., Degner, B.W. et al. On the driving force for fatigue crack formation from inclusions and voids in a cast A356 aluminum alloy. International Journal of Fracture 108, 207–233 (2001). https://doi.org/10.1023/A:1011033304600

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