The problem of a shallow shell containing a surface crack and subjected to general loading conditions is considered. It is shown that, as in the three-dimensional elasticity formulation, the mode I state can be separated whereas modes II and III remain coupled. A line spring model is developed to formulate the part-through crack problem under mixed-mode conditions. A shallow shell of arbitrary curvature having a part-through crack located on the outer or the inner surface of the shell is then considered. Reissner’s transverse shear theory is used to formulate the problem by assuming that the shell is subjected to all five moment and stress resultants. The uncoupled antisymmetric problem is solved for cylindrical and toroidal shells having a surface crack in various orientations and the primary and the secondary stress intensity factors are given. The results show that, unlike the through crack problems, in surface cracks the effect of shell curvature on the stress intensity factors is relatively insignificant.
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December 1988
Research Papers
A Surface Crack in Shells Under Mixed-Mode Loading Conditions
P. F. Joseph,
P. F. Joseph
Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, PA 18105
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F. Erdogan
F. Erdogan
Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, PA 18105
Search for other works by this author on:
P. F. Joseph
Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, PA 18105
F. Erdogan
Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, PA 18105
J. Appl. Mech. Dec 1988, 55(4): 795-804 (10 pages)
Published Online: December 1, 1988
Article history
Received:
January 26, 1988
Revised:
May 2, 1988
Online:
July 21, 2009
Citation
Joseph, P. F., and Erdogan, F. (December 1, 1988). "A Surface Crack in Shells Under Mixed-Mode Loading Conditions." ASME. J. Appl. Mech. December 1988; 55(4): 795–804. https://doi.org/10.1115/1.3173724
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