Fourier series method for plane elastic problems of polygonal domain

This study employs the Fourier series method based on the edge function app roach to solve the plane elastic problem of polygonal domain described by N avier equations. The analytical solutions serve as a set of fundamental sol utions for each edge. Superposing the solution function and matching the pr escribed boundary conditions in each edge allows the solving of the unknown variables and the analysis of the problem. An extra corner function and re gularization technique is utilized to enhance convergence rate. Only one el ement is required to analyze which polygon domain is convex, however, by di viding a non-convex shape into several convex shapes, the proposed method c an be extended to irregular geometrical shape. Numerical examples demonstra te the merits of the developed scheme, as well as its efficiency and accura cy. (C) 2001 Elsevier Science B.V. All rights reserved.