2D Green’s functions for an elastic layer on a rigid support loaded by an internal point force

The problem of a homogeneous isotropic elastic layer resting on rigid base and loaded by an internal point force is analytically investigated under plane strain conditions. displacement field sought as the superposition fundamental solution (doublet state) which allows satisfying boundary conditions at upper lower boundaries layer. represented through convergent Fourier integral transforms. Once closed form in transformed domain found, stress fields are assessed numerical inversion Results concerning both displacements stresses for different positions load application reported compared to FEM solution, finding very good agreement. solutions obtained horizontal vertical forces define Green’s functions layer, can be used describe mechanical interaction between embedded body. As striking application, laterally wall or diaphragm finally addressed, contact pressure and, turn, diaphragm.