On stresses around an arbitrarily oriented crack in a cylindrical shell

• Publisher: Springer Netherlands
• Year: 1976
• Tongue: English
• Weight: 924 KB
• Volume: 12
• Category: Article
• ISSN: 1573-2673
• DOI: 10.1007/bf00034641

✦ Synopsis

A theoretical analysis is presented for the membrane and bendilag stresses around an arbitrarily oriented crack in a long, thin, circular cylindrical shell subjected to uniform axial tension, internal pressure and torsional Ioadings. 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.