Metamaterial design enabling simultaneous manipulation of Rayleigh and Love waves

•Proposing a metamaterial for controlling both Rayleigh and Love waves.•Developing an analytical model to derive dispersion characteristics.•Establishing a FE model to validate analytical results and visualize wave modes.•Demonstrating the wave attenuation capability of the proposed metamaterial through FE simulations.•Providing flexibility for adjustments based on specific application requirements. Studies on elastic metamaterials have expanded from manipulating bulk waves to surface waves, aiming to control the propagation of in-plane Rayleigh waves or anti-plane Love waves. Considering the coexistence of Rayleigh and Love waves in various scenarios, the objective of this study is to develop a metamaterial capable of simultaneously manipulating both types of waves. The proposed metamaterial consists of horizontal resonators with an oblique mounting angle relative to the wave propagation direction, as well as vertical resonators. Initially, analytical solutions for the dispersion of surface waves are derived, followed by Finite Element (FE) simulations to validate the analytically predicted dispersion and illustrate the corresponding wave modes, as well as the in-plane and out-of-plane displacement fields at specified frequencies. The present study reveals that the mounting angle of the horizontal resonators plays a crucial role in surface wave manipulation. By adjusting the mounting angle, three distinct objectives can be achieved: (i) the attenuation of Rayleigh waves alone; (ii) the independent attenuation of Rayleigh and Love waves, targeting different frequency ranges; and (iii) the simultaneous attenuation of both Rayleigh and Love waves.