APPROXIMATE METHODS FOR THE SOLUTION OF CERTAIN DUAL FOURIER-BESSEL SERIES RELATIONS,
Abstract
The dual Fourier-Bessel series relation was considered, where the sequence (Phi sub n) was to be determined. Dual series relations of this type occure in the investigation of stresses in a long elastic cylinder which contains a concentric penny-shaped crack. Numerical solutions for certain cases of this problem were obtained by use of the Cooke-Tranter solution, and by the Sneddon-Srivastav solution. Several methods for obtaining approximate solutions were developed. The errors incurred in using these approximations were discussed, and means of improving the original approximations were considered.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 20, 1964
- Accession Number
- AD0607370
Entities
People
- Jerry A. Roberts
Organizations
- North Carolina State University