Dispersion Characteristics of Rayleigh Waves in a Corrugated Nonlocal Fiber‐Reinforced Layer Bonded to a Nonlocal Substrate With Imperfect Interface

ABSTRACT This study investigates the propagation characteristics of Rayleigh waves in a layered medium consisting of a nonlocal fiber‐reinforced elastic layer over a nonlocal elastic substrate, incorporating surface corrugation and imperfect interface conditions. Utilizing a harmonic wave analysis combined with the variable separable technique, analytical expressions for displacement fields in both media are derived. Numerical simulations are performed using Mathematica software, where the dispersion relation is derived through the application of appropriate boundary conditions solved and graphically represented. These simulations elucidate the influence of nonlocal elasticity parameters, fiber orientation, interface stiffness, corrugation amplitude, and layer thickness on the wave propagation characteristics. The findings demonstrate that nonlocal elasticity and interfacial imperfections markedly influence wave behavior, causing significant reductions in phase velocity and inducing intricate dispersion phenomena. This novel framework, which integrates size‐dependent elasticity with complex interface effects, provides critical insights for applications in nondestructive evaluation, structural health monitoring, and the development of advanced wave‐based sensing and vibration mitigation technologies.