Waves in a nonlocal micropolar thermoelastic half-space with voids under dual-phase-lag model

Abstract

The present article is concerned with the reflection of plane harmonic waves in a nonlocal micropolar thermoelastic medium having void pores in the context of dual-phase-lag and Lord-Shulman models. Two sets of coupled shear waves and three sets of coupled longitudinal waves are shown to exist. When a coupled longitudinal displacement wave is made incident, the reflection coefficients of the various reflected waves and their respective energy ratios are computed analytically and the numerical computation is carried out with the help of MATLAB software. For a particular model, the influence of nonlocal, voids and micropolar parameters on the variations of reflection coefficients and energy ratios of various reflected waves is presented graphically. It is verified that during reflection phenomenon, the sum of energy ratios is equal to unity at each angle of incidence. A comparison between the dual-phase-lag model and Lord-Shulman model is also depicted graphically.

KEYWORDS:

• Dual-phase-lag model
• voids
• nonlocal thermoelasticity
• micropolarity
• reflection

210 MSC:

• 74A15
• 80A20

Disclosure statement

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