A method of stress analysis of two dimensional problems has been proposed, using a partial discretization method and tested with linear elastic problems.
Upon introduction of distributed unknown displacement functions with appropriate shape functions over the elements, a system of simultaneous linear ordinary differential equations are obtained as derived governing equations. To solve the resulting two-point boundary value problems, the Goodman-Lance version of Newton-Raphson Method was used.
Although the method has limitation in geometric shape, it can be applied to get improved results in comparison with finite element analyses for complicated geometries and loading conditions.
Four illustrative examples have been presented to show the proposed method in comparison with finite element method.
