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Long-LVe Multiaxial Fatigue of a Nodular Gmphite Cast Iron   121


           22.   Endo,  M.  and  Murakami,  Y.  (1987) Effects of  an  artificial small defect  on  torsional
                fatigue strength of steels, J Eng. Mat. Tech. 109, pp. 124-129.
           23.   Beretta,  S. and  Murakami,  Y.  (1998) The stress  intensity factor  for  small  cracks  at
                micro-notches under torsion, In: ECF 12 Fracture from defects, M. W. Brown, E. R. de
                10s  Rios and K. J. Miller (Eds.), EMAS, pp. 55-60.
           24.   Wallin, K. (1999) The probability of success using deterministic reliability, In: Fatigue
                Design and Reliability,  ESIS Publication  23, G. Marquis and J.  Solin (Eds.), Elsevier
                Science, Oxford, pp. 39-50.
           25.   Murakami, Y. (1994) Inclusion rating by statistics of extreme values and its application
                to fatigue strength prediction and quality control of  materials, J Res. National  Inst Std
                Tech. 99, pp. 345-351.
           26.  Brown M. W. and Miller, K. J. (1985) Mode I fatigue crack growth under biaxial stress
                at room and elevated temperature, In: Multiaxial  Fatigue, ASTM STP 853, K. J. Miller
                and M. W. Brown (Eds.),  ASTM, Philadelphia, pp. 135-152.
           27.   Liu, A.F.,  Allison, J.A.,  Dittmer, D.F.,  and Yamane, J. (1979) Effect of biaxial stresses
                on crack growth, In:  Fracture Mechanics, ASTM STP 677, C. W. Smith (Ed.), pp. 5-22.
           28.   Miller,  K.  J.  (199 1)  27'h John Player lecture:  Metal fatigue - past current and future,
               Proc. Inst. Mech. Engineers, London, 14 p.

           NOMENCLATURE
           Jarea    square root area of a defect projected onto maximum normal stress plane, pm

           b       Basquin exponent
           BHN     Brinell hardness
           C       Coffin-Manson exponent
           E       elastic moduus (MPa)
           HV       Vicker's hardness, kgf/mm2
           k        normal stress sensitivity coefficient, Findley parameter
           Nf      cycles to failure
           Prank   cumulative defect size probability based on rank probability analysis
           R       stress ratio, Cmin / Omax

           Rpo.2   0.2% offset yield strength
           Rm      ultimate tensile strength
           AW      total virtual stain energy on a plane (VSE model)
           AWI     virtual tensile stain energy on a plane (VSE model)
           Awn     virtual shear stain energy on a plane (VSE model)
           Awe     elastic work during a proportional cycle (VSE model)
           AWp      approximate plastic work during a proportional cycle (VSE model)
                    fatigue ductility coefficient
           Et
             1     range of maximum principal normal strain
           AEP     range of normal plastic strain for proportional loading
           AY       shear strain range
           h       biaxial stress ratio, a2 / 01
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