Dynamics of Topological Meta-Structures

Abstract

The project will investigate the dynamic behavior of topological meta-structures. Topology has recently emerged as a principle governing unique wave transport phenomena through interface or edge modes that are impurity-immune and potentially unidirectional. In mechanics, these phenomena arise by marrying the notion of material and structure, and are expected to lead to functionalities at the mesoscale that are unattainable solely based on the properties of constituents. Beyond the mere notion of a material, these meta-structures draw their unique characteristics from their finite size and the existence of interfaces. The resulting structural assemblies are expected to feature unprecedented performance in terms of stress wave mitigation, wave guiding, acoustic absorption, and vibration isolation. Specifically, the research will study the effects of nonlinearities on topological properties, and will explore complex topologies based on quasi-periodic and random assemblies. Systematic investigation of the effects of nonlinearities on topological properties will enable the exploration of the appearance of edge and localized modes, the onset of interfaces due to local instabilities and bifurcations, and of robustness to disorder. In addition, the study of lattices with periodicity at multiple scales, or that are obtained as random perturbations of periodic and quasi-periodic configurations is expected to uncover additional unique properties related to wave propagation, stability, anharmonicity and topological protection, which are likely to broaden the scope of the investigations, and lead to unexplored properties with relevance to engineering applications related to mechanical wave transport.

Document Details

Document Type
DoD Grant Award
Publication Date
Dec 04, 2018
Source ID
W911NF1810036

Entities

People

  • Massimo Ruzzene

Organizations

  • Army Contracting Command
  • Georgia Tech Research Corporation
  • United States Army

Tags

Readers

  • Nanocomposite Materials Science
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.
  • Theoretical Analysis.