Page 32 - Biaxial Multiaxial Fatigue and Fracture
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Assessment  of  Welded Structures by a Structural Multiaxial Fatigue Approach   17


                350                             0 Bending, R=- 1
                                                  Torsion, R=-1
                                                0 In phase bending and torsion, R=- 1
                250                             A  Out of phase bending and torsion, R=- 1
             h
             k
             E
             P
                150




                 50
                  1 E+04           1 E+05           1 E+06           1 E+07
                                   Number of cycles to failure N


          Fig. 12. Results of Sonsino’s through crack fatigue tests compared with the design curve TO-N


           Another  way  to  illustrate  the  results  is  using  the  Dang  Van’s  diagram  (Fig.  13.). The
                2oorr
         remarkable  result  is  that  the  proposed  method  is  predictive and  very  robust  since  various
         thicknesses,  various  geometries of  welded  structures as  well  as  various  loading  paths  are
         experienced with success.



                                                  Sonsino, Mz R=- 1
                                               0  Sonsino, Fx, R=- 1
                                               0  Sonsmo, Fx&Mz (In phase), R=- 1
                                               A  Sonsino, Fx&Mz (Out of phase), R=- I
                150
                                              -c-  fatigue criterion at 1  million cycles






                 50   -


                                                ,

                    0                          100                        200
                                             P (MPa)
         Fig.  13. Mean values of  Sonsino’s through crack fatigue test results at  lo6 cycles presented in
         the Dang Van’s diagram and compared to the fatigue criterion at 1 million cycles.
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