Rayleigh waves in isotropic elastic materials with micro-voids

TL;DR

This paper applies a general method to analyze surface wave propagation in isotropic elastic materials with micro-voids, establishing existence, uniqueness, and providing a numerical approach for a broad class of such materials.

Contribution

It extends the analysis of surface waves to materials with micro-voids, including auxetic and negative-stiffness composites, using a comprehensive method for existence, uniqueness, and computation.

Findings

Existence and uniqueness of subsonic surface waves in micro-void materials.

Applicable to auxetic and negative-stiffness composite materials.

Provides a numerical strategy for wave solution computation.

Abstract

In this paper, we show that a general method introduced by Fu and Mielke allows to give a complete answer on the existence and uniqueness of a subsonic solution describing the propagation of surface waves in an isotropic half space modelled with the linear theory of isotropic elastic materials with micro-voids. Our result is valid for the entire class of materials admitting real wave propagation which include auxetic materials (negative Poisson's ration) and composite materials with negative-stiffness inclusions (negative Young's modulus). Moreover, the used method allows to formulate a simple and complete numerical strategy for the computation of the solution.