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150                                Chapter 8  Failure Analysis



                              figure is 3.3892.  This means the critical bucking load of the bottle
                              is 166.24 N because the applied load is 49.05 N.  In another word,
                              the bottle won’t buckle if the applied compressive load is less than
                              166.24 N.





















                                         This  example highlights benefits of the finite element
                              method  to  provide  information  necessary  for  the  design  of
                              complicated  model.  The ANSYS software  though the use of  its
                              Workbench helps the analysis process to proceed with ease.


                              8.2   Fatigue and Life Prediction

                                  8.2.1  Fundamentals

                                         Fatigue  is  one  of  the  common  problems  that  causes
                              structural failure.  The failure may occur even though the stress is
                              less than the yield or ultimate stress if the structure is under cyclic
                              loading.    As  shown  in  the  figure,  the  cyclic  stress  varies  up  and
                              down with cycles, where  max  is the maximum stress,  mim  is the

                              minimum stress,    is the mean stress, and    is the alternating
                                                                          a
                                                m
                              stress.
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