Page 35 - Biaxial Multiaxial Fatigue and Fracture
P. 35

20                 K. DANG  VAN, A. BIGNONNET AND JL. FAYARD

            REFERENCES

             1.  Radaj,  D.  (1996)  Review  of  fatigue  strength  assessment  of  nonwelded  and  welded
                structures based on local parameters, Znt. J. Fatigue 18, 3, 153-70
            2.  Mc Dowell, D.L., (1996), Basic issues in the mechanics of  high cycle metal fatigue. Int. J.
                of Fracture, 80,2-3,.103-145.
            3.  Radenkovic, D.  (198 1)  Stress Analysis in tubular joints.  Proceedings of the international
                conference,  *Steel in  Marine Structuresa, 71-1 18, Paris. DOC EUR 7347 Pub RSID -
                France.
            4.  Dang Van, K., Fatigue Analysis by the Multiscale Approach, High Cycle Metal  Fatigue,
                From  Theory to Applications, C.I.S.M. Courses and Lectures N" 392, Ed. Ky  Dang Van
                &Ioannis V. Papadopoulos, Springer 199937-88.
             5.  Melan, E. (1938) Zur Plastizitat des raumlichen Kontinuums, Ing. Arch., 9, 1 16.
             6.  Koiter,  W.  T.  (1960)  General  Theorems  for  Elastic-Plastic  Solids,  Progress  in  Solid
                Mechanics, eds. Sneddon, J.N. and Hill, R., 1, North-Holland, Amsterdam, 165-221.
            7.  Mandel, J., Halphen, B. and Zarka, J. (1977) Adaptation d'une  structure Elastoplastique 2
                EcrouissaEe CinCmatique, Mech. Res. Comm. 4, 309-3 14.
             8.  Nguyen, Q. S., (2OOO)Stability and Nonlinear Solid Mechanics, J. Wiley & Sons.
             9.  Bui,  H.D.  (1983)  Problkmes gCnCraux  de  croissance  de  fissure.  Partie  I,  approche  de
                I'endommagement. Revue frangaise de Micanique, 4,3.
             10.  Bui,  H.D.  and  Dang  Van,  K.  (1987)  Some  recently  developped  aspects  of  Fracture
                Mechanics, Nuclear Engineering and Design, 105,3.
             11.  Fayard,  J.L.,  Bignonnet,  A.  and  Dang  Van,  K.,  (1996)  Fatigue  Design  Criterion  for
                Welded Structures, Fatigue Fract. Engng. Mater. Struct., 19,723-229.
             12.  Sonsino C.M.,  (1995)  Multiaxial fatigue of welded joints under in-phase and out-of-phase
                local strains and stresses, Znt. J. Fatigue,  17, 1, 55-70.
             13. Fayard,  J-L.,  Bignonnet,  A.  and  Dang  Van,K.,  Fatigue  Design of  Welded  Thin  Sheet
                Structures , In Proc.Fatigue Design 95, Ed. Marquis, G. and Solin, J., Helsinki, Finland, 5-
                8 Sept. 1995; M.E.P. publisher.
             14. Bignonnet, A., Fatigue Design in  Automotive Industry, High Cycle Metal  Fatigue, From
                Theory to Applications, C.I.S.M. Courses and Lectures,  392, Ed. Ky Dang Van & Ioannis
                V. Papadopoulos, Springer 1999,145-168.
             15.  Dang  Van,  K.,  Bignonnet,  A.,  Fayard,  and  J-L.,  Janosch,  J-J.,  (2001)  Assessment  of
                welded  structures by  a local multiaxial fatigue approach, Fatigue  Fract.  Engng. Mater.
                Struct., 24, 369-376.


             Appendix : NOMENCLATURE


                    e          Thickness of the sheet
                    d           Risk of fatigue failure
                     N          Number of cycles to failure
                    P(t>        Hydrostatic pressure at time t
                    R           Loading ratio in fatigue
                    r           Curvature radius
                     S          Design Stress
   30   31   32   33   34   35   36   37   38   39   40