On the Computation of the Transfer Function of the Poincaré–Steklov Operator for a Functionally Graded Elastic Layer

Abstract

The Poincaré–Steklov operator for an elastic layer is considered, mapping normal stresses into normal displacements on a part of its boundary. It is shown that for calculating the transfer function of this operator of a three-dimensional boundary value problem for a functionally graded layer, the computational algorithm can be used that was previously developed for building the transfer function of the specified operator of a plane strain problem for a functionally graded strip.