Rayleigh waves in porous nonlocal orthotropic thermoelastic layer lying over porous nonlocal orthotropic thermoelastic half space

ABSTRACT

The present paper deals with the propagation of Rayleigh surface waves in a nonlocal thermoelastic orthotropic layer which is lying over a nonlocal thermoelastic orthotropic half space. The problem is considered in the context of Green-Naghdi type III model of hyperbolic thermoelasticity and Eringen’s nonlocal elasticity theory in the presence of voids. The problem is solved using eigenfunction expansion method. Frequency equation of Rayleigh waves is derived and different particular cases are also deduced. The effects of voids and nonlocality on different characteristics of Rayleigh waves are presented graphically.

KEYWORDS:

• Rayleigh waves
• orthotropic layer
• nonlocal
• voids
• Green-Naghdi type III model

acknowledgements

The author is thankful to the reviewers for their valuable suggestion for the improvement of the article.

Disclosure statement

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

Additional information

Funding

Research work of S. Biswas is financially supported by Research project grant of University of North Bengal, Darjeeling, India.