Semi-analytical solution of 2-D elasticity problems by the strip distributed transfer function method

A new technique, called the strip distributed transfer function method, is developed for static and dynamic analysis of two-dimensional elastic bodies that are composed of multiple rectangular subregions. The method is capable of modeling elastic regions of complex geometry and arbitrary boundary conditions, delivers highly accurate semi-analytical solutions and saves tremendous computer storage. In the analysis, a complex elastic region is first divided into a number of subregions; each subregion is then divided into finite strips. Through introduction of strip distributed transfer functions, the response of every subregion is presented in a semi-exact and closed form; the whole region is systematically assembled from the subregions, leading to a dynamic equilibrium equation. Solution of the equilibrium equation yields the semi-exact displacements and stresses of the elastic body. The proposed method is illustrated on a square region and an L-shaped region, and compared with the finite element method. Copyright (C) 1996 Elsevier Science Ltd