Computing a Transfer Function of the Poincaré–Steklov Operator for a Functionally Graded Elastic Strip

Abstract

A boundary value problem is considered in a functionally graded elastic strip. A three-term asymptotic expansion of a transfer function is obtained for the Poincaré–Steklov operator that maps normal stresses to normal displacements on a part of the strip boundary. Padé approximations are determined for the obtained asymptotic series. An approach to computing the transfer function using the asymptotic series and the Padé approximations is proposed, which reduces computational costs.