An exact solution for the stress field within a rectangular slab
of orthotropic material is found using a two-dimensional Fourier series
formulation. The material is required to be in plane stress, with general
stress boundary conditions, and the principle axes of the material
must be parallel to the sides of the rectangle.
Two load cases similar to those encountered in materials testing
are investigated using the solution. The solution method developed is
seen to have potential uses in stress analysis of composite structures.