Single Layer, Zig-Zag, and Layer Wise theories used for GUF analysis(Generalized Unified Formulation for isotropic materials and traditional composites), with different orders of expansions for the different variables generated with a theory-invariant mathematical model. This feature allows the user to tailor the computational accuracy and well suited for optimization and reliability problems and different orders of expansion for each displacement variable, equivalent Single Layer model can be independently selected for the different displacements.