Journal of Theoretical
and Applied Mechanics

55, 2, pp. 535-546, Warsaw 2017
DOI: 10.15632/jtam-pl.55.2.535

Dispersion of SH waves in a viscoelastic layer imperfectly bonded with a couple stress substrate

Vikas Sharma, Satish Kumar
The paper deals with propagation of SH waves in a viscoelastic layer over a couple stress
substrate with imperfect bonding at the interface. A dispersion equation of SH waves in a
viscoelastic layer overlying the couple stress substrate with an imperfect interface between
them has been obtained. Dispersion equations for propagation of SH waves with perfectly
bonded interface and slippage interface between two media are also obtained as particular
cases. Effects of the degree of imperfectness of the interface are studied on the phase velo-
city of SH waves. The dispersion curves are plotted and the effects of material properties of
both couple stress substrate and viscoelastic layer are studied. The effects of internal micro-
structures of the couple stress substrate in terms of characteristic length of the material are
presented. The effects of heterogeneity, friction parameter and thickness of the viscoelastic
layer are also studied on the propagation of SH waves.
Keywords: SH waves, couple stress theory, imperfect bonding, characteristic length, visco- elasticity