Waves in nonlocal thermoelastic solids of type II

Abstract

The present article deals with the investigation of the propagation of thermoelastic plane harmonic waves in a nonlocal thermoelastic medium. The Green and Naghdi theory II (without energy dissipation) of generalized thermoelasticity with elastic nonlocal effect is adopted to address this problem. The problem of reflection of thermoelastic waves due to an incident coupled longitudinal elastic wave from the rigid and thermally insulated boundary of a homogeneous, isotropic nonlocal thermoelastic half-space is also studied. The amplitude ratios of the reflected waves and their respective energy ratios are determined analytically. For a particular model, the effect of elastic nonlocality parameter on the variations of phase speeds, attenuation coefficients, amplitude ratios and corresponding energy ratios of the reflected waves is presented graphically and analysis of these results is given.

Keywords:

• Green and Nagdhi theory II
• nonlocal
• dispersion
• attenuation
• reflection
• energy partition

Acknowledgments

The authors would like to thank the Editor and the anonymous referee for their suggestions and comments to improve the manuscript. They also gratefully acknowledge Professor Samiran Ghosh (Professor, Department of Applied Mathematics, University of Calcutta, Kolkata – 700009, India.) for his valuable suggestions in preparing the revised version of the manuscript.

Disclosure statement

The authors declare that they have no conflict of interest.