An analytical approach for Love wave disper¬sion in a viscoelastic layer lying on an elastic layer with imperfect interface: under stress-free and clamped boundary conditions

The problem is investigated on the propagation of Love type waves in a geometrical configuration composed of an inhomogeneous viscoelastic layer lying over an elastic substrate. The viscoelastic layer and an isotropic substrate are imperfectly attached to each other. An analysis is done in two cases, first, when the top surface of viscoelastic layer is stress-free, and second, when it is clamped. The dispersion and damping relations for both stress-free and clamped cases are separately determined through the use of effective boundary conditions. A special case is also derived when the viscoelastic layer is perfectly attached to the substrate under both conditions. An analytical approach is performed, and results are drawn graphically to explore the impacts of various parameters such as heterogeneity, internal friction, thickness of the layer and imperfectness parameter in both cases on phase and damping velocities of Love waves.