Computing a Transfer Function of the Poincare-Steklov Operator for a Functionally Graded Elastic Strip

A boundary value problem is considered in a functionally gradedelastic strip. A three-term asymptotic expansion of a transferfunction is obtained for the Poincare-Steklov operator thatmaps normal stresses to normal displacements on a part of thestrip boundary. Pade approximations are determined for theobtained asymptotic series. An approach to computing the transferfunction using the asymptotic series and the Pade approximationsis proposed, which reduces computational costs.