The nonlinear elastic bending response of rectangular plates is described using first order
orthotropic shear deformation equations. The Dynamic Relaxation (DR) method's application utilizing
a computer program based on finite differences is described as their solution. By comparing the DR
solutions with different precise and approximate solutions, the accuracy and convergence of the DR
solutions for the elastic large deflection response of isotropic, orthotropic, and laminated plates are
determined. When combined with the finite differences approach, the current Dynamic Relaxation
method (DR) demonstrates a rather excellent agreement with other analytical and numerical techniques
used in the verification scheme.It was discovered that: Boundary conditions, mesh type and size, fake
densities, damping coefficients, time increment, and applied load are some of the variables that affect
the DR solution's correctness and convergence. Additionally, the study of various thicknesses for
isotropic, orthotropic, or laminated plates under uniform loads may be done using the DR big deflection
program with uniform finite differences meshes. For simply supported (SS4) edge circumstances, every
comparative result demonstrated that deflection is almost entirely reliant on the direction of the applied
load or the layer arrangement.