Numerical Solution for the Mechanical Bending of Two Elastically Coupled Plates Problem

This paper uses the finite difference method (FDM) to provide a high-accuracy numerical approach to solve for the governing equations of two elastically coupled plates under symmetrical bending. The solution strategy, including governing equations and boundary conditions, is thoroughly discussed, and presented. Finally, this solution was used to test the effect of the key parameters of the coupled plates structure on the mechanical response of the system and relate that to the reliability performance of electronic packages under mechanical bending.