Page 424 - Biaxial Multiaxial Fatigue and Fracture
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408                 l !   AUBIN, I! QUAEGEBEUR AND S. DEGAULX






                            700
                            600
                                                    +  Tension-compression
                            500
                                                      Pmportiona14So
                            400

                            300
                             200




             Fig.  8.  Cyclic  stress-strain  responses  at  the  stabilized  or  quasi-stabilized cycles  for  seven
             different loading paths.



                The fatigue lives of the specimens loaded under tension-compression and circle path  are
             drawn as a function of the equivalent plastic strain amplitude in Fig. 9. This figure confirms the
             classical  result,  extensively  studied  elsewhere  in  the  present  ESIS  Special  Technical
             Publication: non-proportional loadings highly reduce the fatigue life in low-cycle fatigue of
              materials. A ratio of up to 7 exists here between the fatigue life obtained for a circle path and
              that in tension-compression with a same plastic strain amplitude of 0.25 %.



                           2                           Number of cycles
                            aeq  0.1                               I
                                 10      1000    10000   100000   1000000







                            0.0001                           0


                            0.00001    0 Circle




              Fig. 9. Equivalent plastic strain-life diagram.
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