Corrected procedure for reflection of harmonic plane waves in a transversely isotropic piezothermoelastic medium: inhomogeneous propagation of incident and reflected waves

Abstract

The phenomenon of reflection of attenuated waves is considered at the boundary of a transversely isotropic piezothermoelastic composite. Identical horizontal slowness for all waves at the boundary defines Snell's law, which ensures the continuation of wave-field at a scattering boundary. Relations from this law are solved to relate the propagation characteristics of reflected waves to those of the incident wave. Any outcome from these relations should conform to the relevant mathematical principles. Else, the phenomenon of reflection wanders in incorrect domain and does not make a true contribution to existing knowledge. Any study with incorrect reflection procedure should be marked for its lapses and corrected so as to restrict the spread of wrong information on wave propagation in real materials.

Keywords:

• Piezothermoelastic
• transversely isotropic
• inhomogeneous waves
• reflection
• Snell's law
• energy partition

Acknowledgements

This research received no specific grant from any funding agency in the public, commercial, or not-for-profit sectors.

Disclosure statement

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

Data availability statement

Version 7 (R14) of MATLAB (MathWorks, Natick, Massachusetts) software is used for the numerical computation of the results discussed in the Numerical example section.