A discrete model and analysis of one dimensional deformations in a structural interface with micro-rotations

TL;DR

This paper develops a discrete Cosserat-type lattice model to analyze one-dimensional deformations in structural interfaces, considering both displacements and micro-rotations, and explores wave filtering and localization phenomena.

Contribution

It introduces a novel discrete model for Cosserat-type interfaces that accounts for micro-rotations and finite thickness, providing new insights into wave behavior and localization.

Findings

Interfaces can act as elastic wave filters.

Both long- and short-wavelength localized solutions exist.

The model encompasses beam-like microstructures and finite-size particles.

Abstract

The static and dynamic properties of a Cosserat-type lattice interface of finite thickness are studied, so that both displacements and rotational degrees of freedom are taken into account. The model allows considering interfaces with a beam-like microstructure and interfaces with finite size particles as particular cases. One-dimensional solutions describing shear and micro-rotations at the interface are obtained and discussed. Harmonic as well as localized solutions, and the properties of the interfaces as filters for elastic waves are investigated. It is shown that both systems with long- and short-wavelength localization may exist.