Issue 38

F. Majid et alii, Frattura ed Integrità Strutturale, 38 (2016) 273-280; DOI: 10.3221/IGF-ESIS.38.37 278 internal pressure, applied stress or the combination of both of them. In the last part, we want to make these formulas in proof by a combination of the unified theory and the burst pressure formulas for static damage evaluation. The obtained result was compared with the damage of A36 steel subjected to uniaxial fatigue tests and tensile tests. We noticed that the results are almost the same. The validation of this combination was done for P265GH and A36 steel. a) b) Figure 3 : Failure pressure (a) and Damage and reliability (b) of P265GH and A36 function of the ratio notch depth-thickness. R EFERENCES [1] BARPI. Echelle de gravité des accidents industriels. Bureau d'Analyse des Risques et Pollutions Industrielles, Ministère chargé de l'Environnement, Direction de la Prévention des Pollutions et des Risques, Service de l'Environnement Industriel. Édition Binôme, (1993). [2] Sines, G., Ohgi, G., Fatigue criteria under combined stresses or strains, J. of Eng Materials and Technology, 103(2) (1981) 82-90. [3] Hashin, Z., Fatigue failure criteria for combined cyclic stress, Int. J. Fracture, 17(2) (1981) 101-109. [4] Chaudonneret, M., A simple and efficient multiaxial fatigue damage model for engineering applications of macro- crack initiation, J. Engng. Mater and technology., 115(4) (1993) 373-379. [5] Ballard, P., Van, K. D., Deperrois, A., Papadopoulos, Y. V. High cycle fatigue and a finite element analysis, Fatigue & Fracture Eng Materials & Structures, 18(3) (1995), 397-411. [6] Crossland, B., Bones, J. A., Behavior of thick-walled steel cylinders subjected to internal pressure, In: Proceedings of the Institution of Mechanical Engineers. 172(1) (1958) 777-804. [7] Deperrois, A., Ph.D. thesis, Ecole Polytechnique, Paris, (1994). [8] Munday, E. G., Mitchell, L. D., The maximum-distortion-energy ellipse as a biaxial fatigue criterion in view of gradient effects, Experimental Mechanics, 29(1) (1989) 12-15.