Relaxed micromorphic modeling of the interface between a homogeneous solid and a band-gap metamaterial: New perspectives towards metastructural design. (December 2018)

• Record Type: Journal Article
• Authors: Madeo, Angela; Barbagallo, Gabriele; Collet, Manuel; d'Agostino, Marco Valerio; Miniaci, Marco; Neff, Patrizio
• Is Part Of: Mathematics and mechanics of solids. Volume 23:Number 12(2018)
• Page Start: 1485
• Page End: 1506
• Publication Date: 2018-12
• Subjects: Reflection -- transmission -- gradient micro-inertia -- free micro-inertia -- complete band-gaps -- non-local effects -- relaxed micromorphic model -- generalized continuum models -- metastructures; Materials -- Mechanical properties -- Periodicals; Solids -- Periodicals; Materials science -- Mathematics -- Periodicals; 620.11205
• DOI: 10.1177/1081286517728423
• Languages: English
• ISSNs: 1081-2865

Abstract

In the present paper, the material parameters of the isotropic relaxed micromorphic model derived for a specific metamaterial in a previous contribution are used to model its transmission properties. Specifically, the reflection and transmission coefficients at an interface between a homogeneous solid and the chosen metamaterial are analyzed by using both the relaxed micromorphic model and a direct FEM implementation of the detailed microstructure. The obtained results show excellent agreement between the transmission spectra derived via our enriched continuum model and those issued by the direct FEM simulation. Such excellent agreement validates the indirect measure of the material parameters and opens the way towards an efficient metastructural design.