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In this work, the propagation behaviour of a surface wave in a micropolar elastic half-space with surface strain and kinetic energies localized at the surface and the propagation behaviour of an interfacial anti-plane wave between two micropolar elastic half-spaces with interfacial strain and kinetic energies localized at the interface have been studied. The Gurtin–Murdoch model has been adopted for surface and interfacial elasticity. Dispersion equations for both models have been obtained in algebraic form for two types of anti-plane wave, i.e. a Love-type wave and a new type of surface wave (due to micropolarity). The angular frequency and phase velocity of anti-plane waves have been analysed through a numerical study within cut-off frequencies. The obtained results may find suitable applications in thin film technology, non-destructive analysis or biomechanics, where the models discussed here may serve as theoretical frameworks for similar types of phenomena.

In the present paper, scattering phenomena has been studied when propagating SH wave incident on the irregular upper boundary of a linear‐reduced Cosserat isotropic layer/half‐space configuration. Algebraic expression for dispersion equation of scattering SH wave has been deduced analytically. Expressions of displacement component and microrotational components for reflected wave have been obtained for three distinct types of irregularity, i.e., rectangular, parabolic and triangular notch‐shaped irregularity. The effect of distinct irregularity parameters on displacement and microrotational fields of reflected wave has been analysed numerically and graphically. The deduced microrotational fields due to scattering and reflection phenomena in irregular layered structure with microrotations serve as highlights of the present work which may find their application in seismic prediction, acoustic engineering and civil engineering.

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