Exact mathematical model for the behavior of a two-layer isotropic plate with partial interaction

This paper analyses the spatial variation of the deflection and slip at the interface of two-layer composite square plate simply supported under distributed static loading. The Timoshenko model is considered and the coupled equations are derived. The exact mathematical expressions for the transverse deflection, longitudinal deformations and rotation angle are obtained. The direct numerical simulation with Abaqus software is conducted. The decrease of the deflection and slip versus the coupling coefficient between the layers is plotted and one finds a good agreement between the mathematical and numerical simulation results. As one must expect, this shows that the composite square plate works like a monolithic plate when the coupling coefficient is high enough (no slip).