Finite-difference Solution Using Displacement Potential Function for Plane Stresses and Displacements

This paper presents a finite-difference computational method, which describes the plane state of displacement or stress of the anisotropic materials. The formulas can be used for homogenous domains, but domains with two or more constituent materials (composite materials) can also be modeled and have also solutions, if the equations are written separately for each material's domain, stipulating the condition that on the grid-points of the common boundary the displacement and the stress is equal.