On the propagation of acoustic waves in a thermo-electro-magneto-elastic solid

Date
2021-10-05
Journal Title
Journal ISSN
Volume Title
Publisher
Applicable Analysis
Abstract
In this paper, we are concerned with a time-dependent transmission problem for a thermo-electric-magneto-elastic solid immersed in an inviscid and compressible fluid. It is shown that the problem can be treated by the boundary-field equation method, provided an appropriate scaling factor is employed. Based on estimates of variational solutions in the Laplace-transformed domain, we obtain the properties of corresponding solutions in the time-domain without having to perform explicit inversions of the variational solutions in the Laplace-transformed domain.
Description
This article was originally published in Applicable Analysis. The version of record is available at: https://doi.org/10.1080/00036811.2021.1986027
Keywords
Wave–structure interaction, coupling procedure, Kirchhoff representation formula, retarded potential, Laplace transform, boundary integral equation, variational formulation, Sobolev space, acoustic waves, thermoelasticity, piezoelectricity
Citation
George C. Hsiao & Wolfgang L. Wendland (2021) On the propagation of acoustic waves in a thermo-electro-magneto-elastic solid, Applicable Analysis, DOI: 10.1080/00036811.2021.1986027