Application of discrete Fourier series to the finite element stress analysis of axi‐symmetric solids

This paper describes an efficient formulation, based on a discrete Fourier series expansion, for the analysis of axi‐symmetric solids subjected to non‐symmetric loading. In contrast to the commonly adopted continuous Fourier series approach, the discrete Fourier series representation has largely overcome problems such as the presence of Gibb's phenomenon and the lack of conformity of elements. The computational advantage over a fully three‐dimensional formulation is illustrated. Finally, the method is demonstrated through a finite element study of rigid caissons founded in both elastic and elasto‐plastic soils.