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Multiaxial Fatigue Assessment of  Welded Structures by Local Approach   59

         Influence of the transition radius

         The preponderant parameter in welding quality is the transition radius at the weld toe and at the
         weld root. Indeed this parameter primarily determines the maximum stress concentration factor
         of the welded joint. The other micro-geometrical parameters, namely the width of the bead and
         the height of the weld dome, are secondary.
           Figure  16  shows the  influence of  the transition radius  on  the  predicted  alternate tensile
         fatigue strength of  butt  welds, assuming mean geometrical parameters and also intermediate
         level of residual stresses between the maximum and minimum measured values.



                100


                 80
              n
              z.
                 60
              u)
              e
              c
              !!  40
              E  .-
              5
                 20
                         -r   = 5.9 mm
                         -r   = 10 mm
                  0
                  1 E+3         1 E+4        1 E+5         1 E+6         1 E+7
                                         Number of cycles


                       Fig. 16. Influence of the transition radius (uniform radius)
                       on alternate tensile fatigue curves ( R = -1) of butt welds

           The transition radius is clearly shown to be a strongly influent parameter regarding to the
         fatigue  strength  of  the  butt  weld.  On  the  contrary,  a  treatment  allowing  to  obtain  large
         transition radii,  as  grinding  for  instance,  makes  increase  the  fatigue  life  by  a  factor  of  3
         approximately with respect to the average quality level.
           It can  be  noted that,  within the  assumptions stated in  this  study (mean  level of  residual
         stresses and average geometry), the tests results fairly fit with the predicted lives obtained with
         the mean transition radii minus the standard deviation.


         CONCLUSIONS
         A  multiscale approach has been  developed to  design  against  fatigue structures subjected to
         multiaxial constant or variable amplitude loading. The evaluation of the lifetime starts from the
         knowledge of  the service conditions of  the whole structure (Le.  operating loading spectrum)
         and requires to assess the stress states in its critical zones. Stresses are actually induced both by
         the external loading and the local geometry. They may be severely increased because of stress
         concentration generated by geometrical discontinuities and angular or axial misalignment.
           The main step of the proposed fatigue evaluation procedure is the determination of the local
         effective stresses as these govern the fatigue phenomenon, Le. the crack initiation. An elastic-
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