In-plane wave propagation through a microstretch slab sandwiched by two half-spaces

The problem of in-plane wave propagation through a sandwiched slab which is governed by the micro-stretch elasticity is discussed in this paper. Different from the classical elastic solid, the mass particles in a micro-stretch solid can undergo the micro-rotation and the micro-stretch in addition to the displacement. As a result, there are five kinds of dispersive waves in a micro-stretch medium. The interface conditions between two microstretch solids are also different from that between two classic elastic solids. By incorporating the non-traditional interface conditions at two interfaces, a set of algebraic equations is obtained from which the amplitude ratios of reflection and transmission waves can be obtained. A numerical example is provided and the energy conservation law is used to check the numerical results. Based on the numerical results, the influences of the microstretch constants and the non-dimensional thickness (relative to the wavelength) of the slab, and the four kinds of possible interface conditions between the micro-stretch slab and the classic elastic half-spaces are discussed. Some special cases as the degeneration of present model are discussed. •The wave propagation through a microstretch elastic sandwiched slab is considered.•The microstretch effects and various degeneration situations of slab and half-spaces are discussed.•The four possible interface conditions between classic elastic solid and microstretch solid are discussed.•The influences of slab thickness and anomalies happened at certain thicknesses are discussed.•The energy conservation considering force stress, couple stress and micro-stress is checked.