Work

Effective interface forces to model boundary effects in a finite-size metamaterial through the reduced relaxed micromorphic model

Year: 2025

Type: article

Abstract: We use the reduced relaxed micromorphic model (RRMM) to capture the effective “bulk” dynamical response of finite-size metamaterial specimens made out of a Labyrinthine unit cell. We show that for small finite-size specimens, boundary effects can play a major role, so that the RRMM needs an enrichment to capture the metamaterial’s bulk response, as well as the boundary effects. A benchmark test is introduced to show that different metamaterial/ homogeneous material interfaces can drive completely different responses even if the bulk metamaterial remains the same. We show with no remaining doubts that the concept of “interface forces” must necessarily be introduced if one wants to model finite-size metamaterials in a homogenized framework. AMS 2010 subject classification: 74A10, 74B05, 74J05, 74M25

Source: Mathematics and Mechanics of Solids

DOI: 10.1177/10812865251358258

Authors: Plastiras Demetriou, Jendrik Voss, Angela Madeo

Institution: TU Dortmund University

Language: English

Topic: Nonlocal and gradient elasticity in micro/nano structures

Subfield: Materials Chemistry

Field: Materials Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $4,150

Funders: European Commission, H2020 Spreading Excellence and Widening Participation