Contact stress distribution under circular plate on a soft layer

An effective analytical solution to an axisymmetric contact problem on the interaction between a circular plate and a double-layer elastic half-space is considered. For this, a bilateral asymptotic method is applied. The plate bends under the load and the foundation response. The solution is constructed for different layer thickness and plate flexibility parameters. Cases when half-space layer properties differ significantly are considered. For these cases, kernel transform approximates of the high-accuracy problem integral equation are constructed. The obtained results accuracy is checked through the comparison with the known solution to the problem on the circular plate bending on an elastic layer bearing on the non-deformable foundation. The effect of the distributed load on flexible and rigid plates depending on the interlayer thickness and its stiffness against the underlying half-place is investigated.