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In this work, topological resonance behaviors of surface acoustic wave (SAW) under surface liquid-layer loadings are investigated. The results show that through the coupling of waveguide and resonant cavity, a resonant peak with high Q-factor can emerge, and the frequency of which is significantly sensitive to the liquid parameters. Based on that, a topological-resonance SAW liquid-phase sensor is proposed. The results show that the formation of the topological phase transition is closely related to the liquid-layer loading. Furthermore, by changing the thickness of the liquid-layer loading, the operating-frequency range of the device can be significantly expanded, which is vital for biomedical detecting applications. Based on which, the sensing performances of topological-resonance SAW liquid-phase sensor are simulated, which are used to sensing the concentration of albumin and hemoglobin concentration in blood, and high sensitivities and Q-factors can be obtained for this device. The results presented in this paper can provide an important basis for the realization of highly sensitive and stable SAW biomedical sensors in the future.

Counter-rotating mechanical metamaterials have previously been found to have anomalous characteristics or functions such as auxetics effects, shape changers, and soliton transports, which are all under monostable conditions. The properties of counter-rotating mechanical metamaterials under bistable conditions have not yet been explored. Here, we found that for a bistable counter-rotating metamaterial chain, the effective stiffnesses of the two steady states are different in the chain with even-numbered nodes. For the chain with odd-numbered nodes, the effective stiffnesses corresponding to the two steady states are exactly the same. This special property is not characterized by the characteristic attenuation lengths of the underlying mechanism, but depends on the different symmetries of the underlying mechanism of the chains with odd and even nodes. In addition, the relationship between the abnormal non-monotonic size effect and equilibrium angle are clarified. More interestingly, for one-dimensional chains with even-numbered nodes, the size effect of effective stiffness bifurcates at a specific equilibrium angle, and the according mechanisms are revealed.

In this work, elastic fractal higher-order topological states are investigated. Bott index is adopted to characterize the topological property of elastic fractal structures. The topological corner and edge states of elastic waves in fractal structures are realized theoretically and experimentally. Different from traditional two-dimension (2D) high-order topological insulators based on periodic structures, the high-order topological states based on elastic fractal structures in this work support not only abundant topological inner corner states and edge states, but also topological outer corner states. The richness of corner states is much higher than that of topological insulators based on periodic structures. The strong robustness of the topological corner states in the fractal structure are verified by introducing disorders and defects. The topological phenomenon of elastic fractal structures revealed in this work enriches the topological physics of elastic systems and breaks the limitation of that relies on periodic elastic structures. The results have important application prospects in energy harvesting, information transmissions, elastic energy acquisitions and high-sensitivity detections.