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

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.

Keywords:

• Wave–structure interaction
• coupling procedure
• Kirchhoff representation formula
• retarded potential
• Laplace transform
• boundary integral equation
• variational formulation
• Sobolev space
• acoustic waves
• thermoelasticity
• piezoelectricity

Mathematics Subject Classifications (1991):

• 35J20
• 35L05
• 45P05
• 65N30
• 65N38

Acknowledgements

The authors would like to thank Professor David Natroshvili for providing them relevant references on the general theory of thermo-electro-magneto-elasticity.

Disclosure statement

No potential conflict of interest was reported by the author(s).