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

Abstract

Abstract 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.