NORTH CAROLINA STATE UNIV RALEIGH SCHOOL OF PHYSICAL SCIENCES AND APPLIED MATHEMATICS
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.