Page 231 - Biaxial Multiaxial Fatigue and Fracture
P. 231

Critical Plane-Energy Based Approach for Assessment of Biaxial Fatigue Damage where  ...   215








          The total damage in a block loading history is calculated by accumulating the parameter for the
          block loading history consisting of three 01 Cycles   st+p2nd+  p3rd).
            Table  2 lists 0-angles, at  which the  largest Mohr's  circles are obtained for various block
          loading histories shown in Fig 1.
          Table 2.  The most damaging planes obtained for various block loading histories.

              Histories     a      0-angles (degrees) of most damaging planes of  01  cycles
                                    e1     02      03      04     05      06
              Al-A2         1       90     270     ---     ---    _--     -__
              Bl-B2         2      100     250    470     620     ---     -__
              B3-B4         2       90     270    450     630     ---     -__
              Cl-C2         3       80     270    460     620     810    1000
              c3-c4         3      110     260    460     620     800    1000

          FATIGUE LEE RESULTS AND CORRELATIONS

          Stress amplitude-number of blocks to failure
            Figures 7a-7c present the number of blocks to failure versus the magnitude of biaxial stress
          amplitude for the load histories tabulated in Table 2.

                                                    ..................................................
                                                     (In-phase loading)   B2(a=2)
              ...............................   .....   . .............................   ................   w  C2(n=3)








                                                      .! ... ?.....!..'. '.L  .....
                             40  .......... I ....... t .... I   .....e*oadin.


                                              :  Including transverse  I
                                                       -
                                               rneanstrtrx  j
                                                   -I
                                                        ...........  L .....
                                 .....................  I .......  ....  ..... ".....   A. ,...I \-I  ,
                                 L   ........               6cj
                                              I
                                I 0'         lo-(          1 o6
                                      Number of blocks to failure
            Fig. 7. Stress amplitude versus number of blocks to failure for various biaxial fatigue tests.
   226   227   228   229   230   231   232   233   234   235   236