On an analytical-numerical procedure for the analysis of cylindrical shells with arbitrarily oriented cracks

Lakshminarayana, HV and Murthy, MVV and Srinath, LS (1982) On an analytical-numerical procedure for the analysis of cylindrical shells with arbitrarily oriented cracks. International Journal of Fracture, 19. pp. 257-275. ISSN 0376-9429

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Abstract

An analytical-numerical procedure for obtaining stress intensity factor solutions for an arbitrarily oriented crack in a long, thin circular cylindrical shell is presented. The method of analysis involves obtaining a series solution to the governing shell equation in terms of Mathieu and modified Mathieu functions by the method of separation of variables and satisfying the crack surface boundary conditions numerically using collocation. The solution is then transformed from elliptic coordinates to polar coordinates with crack tip as the origin through a Taylor series expansion and membrane and bending stress intensity factors are computed. Numerical results are presented and discussed for the pressure loading case.

Item Type: Article
Additional Information: Copyright for this article belongs to Springer Verlag
Uncontrolled Keywords: Crack geometry;Cylindrical shells;Perforated shells;Shell theory;Stress intensity factors;Axial stress;Boundary conditions;Boundary value problems;Elastic properties; Mathieu function;Polar coordinates
Subjects: ENGINEERING > Structural Mechanics
Depositing User: Users 11 not found.
Date Deposited: 03 Jul 2008
Last Modified: 24 May 2010 04:09
URI: http://nal-ir.nal.res.in/id/eprint/863

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