Influence of yielding base and rigid base on propagation of Rayleigh-type wave in a viscoelastic layer of Voigt type. (English) Zbl 1390.74104
Summary: The present study aims to study the propagation of Rayleigh-type wave in a layer, composed of isotropic viscoelastic material of Voigt type, with the effect of yielding base and rigid base in two distinct cases. With the aid of an analytical treatment, closed-form expressions of phase velocity and damped velocity for both the cases are deduced. As a special case of the problem it is found that obtained results are in good agreement with the established standard results existing in the literature. It is established through the study that volume-viscoelastic and shear-viscoelastic material parameter and yielding parameter have significant effect on phase and damped velocities of Rayleigh-type wave in both the cases. Numerical calculations and graphical illustration have been carried out for both the considered cases in the presence and the absence of viscoelasticity. A comparative study has been performed to analyse the effect of layer with yielding base, traction-free base and rigid base on the
phase and damped velocities of Rayleigh-type wave.
MSC:
| 74J15 | Surface waves in solid mechanics |
| 35Q74 | PDEs in connection with mechanics of deformable solids |
| 74S30 | Other numerical methods in solid mechanics (MSC2010) |
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