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The Influence of Static Mean Stresses Applied Normal to the Maximum Shear Planes in ...   141


          CONCLUSIONS

          For a given fatigue life, data from this test program exhibit an inverse linear relationship between
          the  alternating shear stress  and  the  static mean  stress normal  to  the  maximum  shear stress
          amplitude planes for static mean stresses smaller than 500 MPa and 76 MPa for the hard and soft
          steels, respectively.  Increasing the tensile mean stress beyond these values does not result in a
          further decrease in the alternating shear stress for a given fatigue life.
            When  static mean stresses normal to the plane of  maximum alternating shear stress are high,
          fracture surface asperities are unmarked.  Asperity heights increase with increasing tensile mean
          stress until the stress at which the crack faces no longer touch is achieved.
            The modified Findley parameter condensed the majority of the experimental results within a
          2x  band  on  a parameter versus fatigue life curve.  For tensile static mean stresses larger then
          Sint, the crack faces were found to be fully separated, a condition previously identified as crack
          face  interference free  growth.  This  cracking  mechanism is  incorporated into  the  modified
          Findley parameter by  placing a limiting value Sint  above which the mean stress value used in
          the parameter is kept constant.


          ACKNOWLEDGEMENTS

          The authors would like to thank NSERC for the funding to complete this program of  study and
          the Canadian Armed Forces.  The authors would also like to thank Dr. Bonnen, Dr. Conle, Mr.
          Barber, Mr. Boldt and Mr. Alberts for their contributions to this research.


          REFERENCES

          I.  Bonnen,  J.,  and  Topper,  T.H.,  (1999) Multiaxial  Fatigue and  Deformation:  Testing and
             Prediction, STP  1387 213.
          2.  Varvani-Farahani, A.  and  Topper, T.H.,  (1997) “Short fatigue crack characterization and
             detection  using  confocal  scanning laser microscopy (CSLM),“ Nontraditional  methods  of
             sensing stress, strain and damage in Materials and Structures, ASTM STP 1318 43-55.
          3.  Stulen, F.B., and Cummings, H.N. (1954) “A failure criterion for multiaxial fatigue stresses,”
             ASTM Proceedings 54,822.
          4.  Findley, W.N.,  (1954) “Experiments in  fatigue under ranges  of  stress in  torsion and  axial
             load from tension to extreme compression,”  ASTM Proceedings 54, 30 1.
          5.  Findley, W.N.,  (1959) “A  theory for the effect of  mean  stress on  fatigue of  metals under
             combined torsion and axial loading or bending,” Trans. ASME J. Eng. For Industry 81, 301 -
             306.
          6.  Sines,  G.  (1961)  The prediction  of  fatigue  fracture under  combined  stresses at  stress
             concentrations,”  Bulletin of  JSME 4,443.
          7.  Mazelsky, B.,  Lin, T.H., Lin, S.R. and Yu, C.K., (1969) “Effect of axial compression on low-
             cycle fatigue of metals in torsion,”  J Basic Eng.91,780.
          8.  Chu,  C.-C.,  (1994)  “Critical  plane  analysis  of  variable  amplitude  tests  for  SAE  1045
             steels,”SAE  Technical Paper #9#0246.
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