Introduction to mechanical metamaterials and their effective properties

Xueyan Chen (1) , Nicolas Laforge (1) , Qingxiang Ji (1) , Huifeng Tan (2) , Jun Liang (2) , Gwenn Ulliac (1) , Johnny Moughames (1) , Samia Adrar (1) , Vincent Laude (1) , Muamer Kadic (1)

1 FEMTO-ST - Franche-Comté Électronique Mécanique, Thermique et Optique - Sciences et Technologies (UMR 6174)
2 HIT - Harbin Institute of Technology

Metamaterials are rationally designed composites made of building blocks which are composed of one or more constituent materials. Metamaterial properties can go beyond those of the ingredient materials, both qualitatively and quantitatively. In addition, their properties can be mapped on some generalized continuum model. We present the general procedure of designing elastic metamaterials based on masses and springs. We show that using this simple approach we can design any set of effective properties including linear elastic metamaterials,—defined by bulk modulus, shear modulus, mass density—and nonlinear metamaterials,—with instabilities or programmable parts. We present designs and corresponding numerical calculations to illustrate their constitutive behavior. Finally, we discuss the addition of a thermal stimulus to mechanical metamaterials.

Domaines: Optique [physics.optics]; Acoustique [physics.class-ph]; Matériaux; Micro et nanotechnologies/Microélectronique

Xueyan Chen, Nicolas Laforge, Qingxiang Ji, Huifeng Tan, Jun Liang, et al.. Introduction to mechanical metamaterials and their effective properties. Comptes Rendus. Physique, 2020, 21 (7-8), pp.751-765. ⟨hal-03132064⟩