Modelling of Love-type waves in an elastic layer sandwiched between viscous liquid half space and size dependent couple stress substrate

Abstract

Dispersion curves employed for designing Love wave based liquid sensing devices may provide more accurate information if due consideration is given to parameters describing microstructural behavior of the substrate. The present study involves mathematical modelling of Love waves propagating in a hybrid structure consisting of an elastic layer in the middle overlying a size dependent substrate, loaded with a viscous liquid (Newtonian) half space. Numerical computations are carried out to graphically demonstrate the effects of various parameters: characteristic length of the substrate, thickness of the elastic layer, viscosity and density of the overlying viscous liquid (Newtonian) on dispersion characteristics.

Microstructured induced band pattern in Love wave propagation for novel nondestructive testing (NDT) procedures

“…As a consequence of these observations, the dispersion relation (44) cannot be directly obtained assuming a classical solution for B and it is thereby defined as non-classical. We also observe that, to leading order, q 1A (0) = 0, which indeed corresponds to one of the boundary conditions used in Sharma and Kumar (2019); Sharma et al (2020). However, rotation at the…”