This paper contains a numerical analysis of a cracked pin-loaded tube. The relationship between the various methods of calculating ‘total’ or ‘equivalent’ stress intensity factors is discussed and the reliability of using J contour integral results is shown. Trends in the stress intensity factors K1, KII, KIII and Ke are found and the changes in these factors for changes in the profile and length of the crack are explained. A set of ‘best-case’ curves reflecting the profile of the crack in the experimental work and the method of selecting these cases is shown; these will be used for comparison with experimental data in a companion paper, Part 2, which follows.
GrantR. J.SmartJ.StanleyP.A parametric study of the elastic stress distribution in pin-loaded lugs. J. Strain Analysis, 1994, 29 (4), 299–307.
2.
GrantR. J.SmartJ.A parametric study of the elastic stresses in pin-loaded tubes. J. Strain Analysis, 1997, 32 (3), 213–228.
3.
GrantR. J.SmartJ.Crack growth in pin-loaded tubes. Part 2: Comparison of experimental data with numerical results. J. Strain Analysis, 1999, 34 (4), 271–284.
4.
AhmadI.Stresses in pin-loaded tubes. PhD thesis, Department of Engineering, University of Manchester, 1994.
5.
MattheckC.MorawietzP.MunzD.Calculation of stress intensity factor of a circumferential crack in a tube originating from a hole under axial tensile and bending loads. Engng Fracture Mechanics, 1985, 22, 645–650.
6.
JessopH. T.SnellC.AllisonI. M.The stress concentration factors in cylindrical tubes with transverse holes. Aeronaut. Q., 1959, 10, 326–344.
7.
GrantR. J.An analysis of the stresses in cracked and uncracked pin-loaded tubes. PhD thesis, Department of Engineering, University of Manchester, 1995.
8.
ParkerA. P.The Mechanics of Fatigue and Fracture, 1981 (E. and F. N. Spon, London).
9.
ABAQUS User Manual, 1994 (Hibbitt, Karlsson and Sorensen (UK) Limited, Cheshire).
