Nonlocal antiplane shear interfacial waves

In this paper, non-local shear interfacial waves between two non-local elastic half-spaces in perfect contact along a common boundary are investigated. For the sake of simplicity, an anti-plane problem formulated through the framework of Eringen’s theory is considered. The non-locality is taken only in the transverse coordinate making the analysis of the problem easier than that of non-local problems of 2D. Effective boundary conditions are obtained, with the help of a small internal characteristic length scale, along the interface utilizing an asymptotic approach enabling one to write the non-local stresses through their local counterparts. Antiplane non-local shear interfacial waves are analysed by the derived formulation. Numerical results are presented for certain characteristic values of the problem parameters. •Antiplane shear waves between two non-local elastic half-spaces are studied.•A perturbation scheme is developed to derive a correction to the conventional interface conditions.•The derived formulations are used for the analysis of antiplane shear interfacial waves.•The analysis shows that the antiplane shear waves would exist for certain specific values of the problem parameters.