Time domain analysis of microstructured materials through the reduced relaxed micromorphic model

TL;DR

This paper evaluates the effectiveness of the relaxed micromorphic model in predicting the time-domain wave propagation in microstructured materials, comparing it with direct numerical simulations to identify its accuracy and limitations.

Contribution

It introduces a systematic comparison between discrete microstructure simulations and micromorphic models for dynamic analysis, highlighting their applicability in time-dependent problems.

Findings

Micromorphic models accurately predict transient wave phenomena in certain regimes.

Limitations of micromorphic models are identified for complex wave interactions.

The study enhances understanding of micromorphic models' capabilities in metamaterial analysis.

Abstract

Microstructured materials, such as architected metamaterials and phononic crystals, exhibit complex wave propagation phenomena due to their internal structure. While full-scale numerical simulations can capture these effects, they are computationally demanding, especially in time-domain analyses. To overcome this limitation, effective continuum models have been developed to approximate the macroscopic behavior of these materials while retaining key microscale effects. In this work we investigate the time-domain dynamic response of microstructured materials and focus on their effective micromorphic counterparts. We compare direct numerical simulations of discrete microstructures with predictions from micromorphic models to assess their accuracy in capturing transient wave phenomena. Our findings provide new insights into the applicability and limitations of micromorphic models in time-dependent analyses, contributing to the development of improved predictive tools for metamaterial design and engineering applications.