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Previous investigations on wave scattering and crack propagation in the discrete periodic structure are concentrated on the conditional mass–spring model, in which the internal mass is not included. In this work, elastic wave metamaterials with local resonators are studied to show the scattering of elastic waves by a semi-infinite crack and the arrest behaviour. The influences of internal mass–spring structure are analysed and the discrete Wiener–Hopf method is used to obtain the displacement solution. Numerical calculations are performed to show that the dynamic negative effective mass and band gaps can be observed owing to the local resonance of the internal mass. Therefore, the scattering of an elastic wave with a specific frequency by a semi-infinite crack can be avoided by tuning the structural parameters. Moreover, the energy release ratio which characterizes the splitting resistance is presented and the meta-arrest performance is found. It is expected that this study will increase understanding of how to control the scattering characteristics of elastic waves by a semi-infinite crack in locally resonant metamaterials and also help to improve their fracture resistance. [ABSTRACT FROM AUTHOR]

• The coupling of nonlocal interaction and damping has better arrest behavior during the stable crack growth and reduce the vibration amplitude in the oscillation region of energy release ratio. • The magnitude of additional energy barrier in the stable region caused by nonlocal interactions can be changed by damping. • Finite element simulation and experiment have good agreement, which can support the theoretical prediction. In this study, the arrest behavior of locally resonant structure with nonlocal interaction and damping are analyzed. Based on the Wiener-Hopf method, the energy release ratio G 0 / G which denotes the arrest property is derived. The effects of nonlocal interaction and damping parameters on the oscillation and stability regions during the crack growth are discussed. The arrest characteristics of three locally resonant structures are compared. In order to support the theoretical calculation, both the finite element simulation and fracture experiment are performed. Results show that the locally resonant structure with nonlocal interaction and damping has smaller energy release ratio G 0 / G. It indicates that the coupling of both nonlocal interaction and damping can significantly enhance the propagation resistance of crack propagation. [ABSTRACT FROM AUTHOR]

• The energy release ratio which denotes the crack splitting resistance is derived and the corresponding radiated waves are discussed • The energy barrier before the stable propagates is larger, which means that the ability to resist the crack speed is enhanced • The lower energy release ratio in the subsonic and supersonic regions indicates that the elastic wave metamaterials with local resonators has a better crack resistance and shows the meta-arrest property. In this study, the dynamic effective mass and effects of local resonators on the crack growth are investigated. Based on Wiener-Hopf method and factorization using Cauchy-type integral, the energy release ratio which denotes crack splitting resistance is derived and the corresponding radiated waves are discussed. The results show that at variance with traditional periodic mass-spring lattice chain, the radiated energy of the present elastic wave metamaterial with local resonators is more sensitive to low crack speeds. The energy barrier before the stable propagates is larger, which means that the ability to resist the crack speed is enhanced. The lower energy release ratio in the subsonic and supersonic regions indicates that the elastic wave metamaterials with local resonators has better crack resistance and shows the meta-arrest property. The present results might have potential application to improve the crack resistance of advanced materials and structures. [ABSTRACT FROM AUTHOR]