Fundamental solution of steady oscillations equations in nonlocal thermoelastic medium with voids

Abstract

A new nonlocal theory of generalized thermoelasticity with voids based on Eringen’s nonlocal elasticity is established. The propagation of plane harmonic waves in nonlocal thermoelastic medium with voids is investigated in the context of dual-phase-lag model of generalized thermoelasticity. There exist three longitudinal waves, namely elastic (E-mode), thermal (T-mode) and volume fraction (V-mode) in addition to transverse waves which get decoupled from the rest of motion and not affected by thermal and volume fraction fields. The fundamental solution of the system of differential equations in case of steady oscillations in terms of the elementary functions has been constructed. The effect of nonlocal parameter and the effect of voids on phase velocities, attenuation coefficients and penetration depths are presented graphically.

Keywords:

• Dual-phase-lag model
• fundamental solution
• nonlocal elasticity
• steady oscillations
• voids

Acknowledgment

The author is thankful to the reviewer for his valuable suggestions for the improvement of the article.

Disclosure statement

No potential conflict of interest was reported by the author.