State space approach to characterize Rayleigh waves in a layer lying over a half-space with nonlocal thermoelasticity

Abstract

The paper deals with a new model based on Eringen's nonlocal thermoelasticity. The propagation of Rayleigh waves in a nonlocal thermoelastic layer which is lying over a nonlocal thermoelastic half-space is considered in the context of energy dissipation theory. The normal mode analysis is employed to the considered equations to obtain vector matrix differential equation which is then solved by state space approach.The frequency equation of Rayleigh surface wave is derived. The effect of the nonlocal parameter on phase velocity, attenuation coefficient, specific loss and penetration depth of Rayleigh surface waves is presented graphically.

Keywords:

• Rayleigh waves
• nonlocal
• thermoelastic layer
• state space approach
• Green–Naghdi model

Disclosure statement

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

Additional information

Funding

Ismail Haque is thankful to University Grants Commission, New Delhi, India for providing NET-JRF Fellowship.