Time-Dependent Wave-Structure Interaction Revisited: Thermo-piezoelectric Scatterers

TL;DR

This paper investigates the dynamic interaction between thermo-piezoelectric structures and surrounding fluids, introducing a boundary-field equation approach that simplifies analysis without complex Laplace inversion.

Contribution

It presents a novel application of the boundary-field equation method to time-dependent thermo-piezoelectric wave-structure interaction problems with appropriate scaling.

Findings

Successful treatment of the problem via boundary-field equations

Establishment of solution properties without Laplace inversion

Extension of analysis to thermo-piezoelectric scatterers in fluids

Abstract

In this paper, we are concerned with a time-dependent transmission problem for a thermo-piezoelectric elastic body immersed in a compressible fluid. It is shown that the problem can be treated by the boundary-field equation method, provided an appropriate scaling factor is employed. As usual, based on estimates for solutions in the Laplace-transformed domain, we may obtain properties of corresponding solutions in the time-domain without having to perform the inversion of the Laplace-domain solutions.