Journal Article

Revealing the physical insight of a length-scale parameter in metamaterials by exploiting the variational formulation

Abali, B Emek

2019

Overview

For micro-architectured materials with a substructure, called metamaterials, we can realize a direct numerical simulation in the microscale by using classical mechanics. This method is accurate, however, computationally costly. Instead, a solution of the same problem in the macroscale is possible by means of the generalized mechanics. In this case, no detailed modeling of the substructure is necessary; however, new parameters emerge. A physical interpretation of these metamaterial parameters is challenging leading to a lack of experimental strategies for their determination. In this work, we exploit the variational formulation based on action principles and obtain a direct relation between a parameter used in the kinetic energy and a metamaterial parameter in the case of a viscoelastic model.

• Publisher: Springer Nature B.V
• Subject: Classical mechanics / Computer simulation / Direct numerical simulation / Kinetic energy / Mathematical models / Mechanics (physics) / Metamaterials / Parameters / Viscoelasticity