On stresses around an arbitrarily oriented crack in a cylindrical shell

Lakshminarayana, HV and Murthy, MVV (1976) On stresses around an arbitrarily oriented crack in a cylindrical shell. International Journal of Fracture, 12. pp. 547-566. ISSN 0376-9429

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A theoretical analysis is presented for the membrane and bending stresses around an arbitrarily oriented crack in a long, thin, circular cylindrical shell subjected to uniform axial tension, internal pressure and torsional loadings. The method of analysis involves perturbation in a curvature parameter defining the crack size with respect to dimensions of the shell and the results are valid for cracks of small length. The problem is first solved completely in elliptic coordinates and the stress intensity factors are then determined by carrying out a transformation to polar coordinates with crack tip as the origin. Closed-form expressions are obtained for the membrane and bending components of the elastic stress intensity factors and numerical results are presented over the complete rage of the crack angle. For the two symmetric orientations, the solutions agree with known solutions.

Item Type: Article
Additional Information: Copyright for this article belongs to Kluwer Academic Publishers Group
Uncontrolled Keywords: Cylindrical shells;Elastic bending;Fracture mechanics; Performed shells;Stress distribution;Axial stress;Circular cylinders;Edge loading;Membrane structures;Perturbation theory;Residual stress;Stress analysis;Torsional stress
Subjects: AERONAUTICS > Aircraft Design, Testing & Performance
Depositing User: M/S ICAST NAL
Date Deposited: 02 Jan 2007
Last Modified: 24 May 2010 04:24
URI: http://nal-ir.nal.res.in/id/eprint/3840

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