Minimal Surface‐Based Materials for Topological Elastic Wave Guiding

Abstract

Materials based on minimal surface geometries have shown superior strength and stiffness at low densities, which makes them promising continuous‐based material platforms for a variety of engineering applications. In this work, it is demonstrated how these mechanical properties can be complemented by dynamic functionalities resulting from robust topological guiding of elastic waves at interfaces that are incorporated into the considered material platforms. Starting from the definition of Schwarz P minimal surface, geometric parametrizations are introduced that break spatial symmetry by forming 1D dimerized and 2D hexagonal minimal surface‐based materials. Breaking of spatial symmetries produces topologically non‐trivial interfaces that support the localization of vibrational modes and the robust propagation of elastic waves along pre‐defined paths. These dynamic properties are predicted through numerical simulations and are illustrated by performing vibration and wave propagation experiments on additively manufactured samples. The introduction of symmetry‐breaking topological interfaces through parametrizations that modify the geometry of periodic minimal surfaces suggests a new strategy to supplement the load‐bearing properties of this class of materials with novel dynamic functionalities.

Document Details

Document Type
Pub Defense Publication
Publication Date
May 12, 2022
Source ID
10.1002/adfm.202204122

Entities

People

  • Benjamin Emerson Dolan
  • Brandon Fields
  • Lorenzo Valdevit
  • Massimo Ruzzene
  • Matheus I. N. Rosa
  • Mohit Gupta
  • Yuning Guo

Organizations

  • Army Research Office
  • National Science Foundation
  • University of California, Irvine
  • University of Colorado Boulder

Tags

Readers

  • Calculus or Mathematical Analysis
  • Quantum Dot Semiconductor Device Photonics and Graphene Optoelectronic Materials and THz Physics.
  • Reinforced Composite Materials