Page 60 - Biaxial Multiaxial Fatigue and Fracture
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Multiaxial Fatigue Assessment of Welded Structures by Local Approach   45


          The advantage of these approaches is the relatively easy procedure for a design purpose.
        However two main drawbacks can be retained. The effective maximum stress existing at the
        weld toe is not the referred stress used for the assessment of the weld despite the fact indeed
        that this value is the origin of the fatigue damage. The second difficulty consists in the uniaxial
        stress  states  used  for  evaluating the  weld  durability. As  a  matter  of  fact  the  notch  effect
        constraints  existing  at  the  weld  toe  and  the  possibly  multiaxial  loading  of  the  structure
        generally induce multiaxial stress states. In  the case of rotating principal stress directions, a
        multiaxial fatigue criterion is the only way to properly account for the effective influence of
        such stresses in fatigue.


        PRESENTATION OF THE PROPOSED LOCAL APPROACH

        This approach is developed for the design of welded structures of all-terrain vehicles. When
        such  a  vehicle  is  moving  on  chaotic  ground  at  high  speed,  its  structure  and  mechanical
        components are subjected to vibrations capable of inducing fatigue cracks especially in notched
        areas and welded parts. This is the reason why many all-terrain vehicles built all over the world
        suffer  from  progressive cracking.  Controlling the  fatigue  dimensioning of  structures under
        complex  loading becomes  thus  an  essential condition  in  the  design  process.  Furthermore,
        controlling the  fatigue strength of welded parts  constitutes an  important technico-economic
        advantage. The aim of this section is to present the approach developed and its application in
        order to ascertain fatigue strength under complex loading.
          Since  the  fatigue  phenomenon  is  very  local,  whereas  the  phenomenon  generating  it  is
        vehicle-wide, the  design approach must  necessarily be  multiscale.  The  approach developed
        results in 3 steps. Starting from the terrain, the first step consists in simulating or testing a
        vehicle when rolling, in order to make it possible to determine the internal  loads. Figure 3
        shows for instance the forces induced by the suspension on the chassis due to the moving of a
        6-wheeled vehicle on a training ground at high speed. As  a matter of fact, the ratio between
        forces coming from the vehicle’s suspension shows that the loadings are not proportional. The
        structure is actually subjected to random non-proportional multiaxial loading. These loads are
        used,  during  the  second  step  of  the  multiscale  approach,  for  the  overall  finite  element
        calculation of  the  structure  (dynamic or  quasi-static), resulting  in  the  identification  of  the
        potential  fatigue  damage  areas  [4]. The  third  step  of  the  multiscale  approach  consists  in
        assessing the lifetime of the critical areas by the local approach.












                   -1 E+O5 ’


                       0 E+OO   2 E+O1   4.E+01   6 E+O1   8 E+O1   1 E+02
                                             Time (s)
                   Fig. 3. Force versus time in one suspension of a 6-wheeled vehicle
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