Page 502 - Biaxial Multiaxial Fatigue and Fracture
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486                        G. SHATIL AND N. ERSOY







             where  N  *  are the modified cycles to failure for a particular surface strain range and  Nfnis
                    fD
             the number of cycles to failure at a certain depth along the critical path, corresponding to the
             average incremental strain En at that depth, Fig.  Ib. This model improved life prediction of
             axisymmetric notch specimens and consequently was applied to a car component [19].




















                               do     dl      d2      d3
                                          Depth from the surface
                           c
                                                          (b)












                                           Cycles to Failu;  Nf



             Fig.1. Subsurface strain and life calculations using the Shatil and Smith model [6]:  (a) average
             strains and strain increments; and (b) life to failure using the calculated average strain.


               More recently, Qilafku et a1  [S, 121 and Bentachfine et a1  [Ill used similar principles to
             those suggested by Shatil and Smith  [6] to develop a fatigue failure parameter for the HCF
             fatigue region using damage accumulation in a local damage process zone. The relative values
             of the stress gradient to the surface were integrated along a critical path and this was directly
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