Love-like wave fields at the interface of sliding contact with non-local elastic heterogeneous fluid-saturated fractured poro-viscoelastic layer

Abstract

The investigation delves into the propagation of Love-like waves within a stratified medium incorporating the impact of non-local elasticity and a sliding interface. The medium is characterized by an orthotropic viscoelastic layer with fractures and matrix porosity saturated with fluid positioned over an orthotropic viscoelastic half-space under initial stresses. The media is vertically heterogeneous with a binomial function of depth featuring a real positive exponent. Two distinct non-local parameters are considered for the layer and half-space, along with a sliding parameter accounting for interface sliding. The particle displacement components are expressed using modified Bessel functions of first and second kinds. A finite number of terms of the asymptotic representation of the modified Bessel functions and their derivatives have been used and compared with the exact solution. The dispersion equation is derived by neglecting fourth and subsequent powers of non-local parameters under suitable boundary conditions. Various cases are explored based on welded, partially, and fully sliding interfaces and compared with classical Love wave propagation. An interesting phenomenon has been found that under a fully sliding interface, the existence of Love-like wave vanishes, and the medium behaves as a separate layer and half-space with shear wave propagation. © 2024 Elsevier Masson SAS