Non-reciprocal wave propagation in modulated elastic metamaterials
Abstract
Time-reversal symmetry for elastic wave propagation breaks down in a resonant mass-in-mass lattice whose inner-stiffness is weakly modulated in space and in time in a wave-like fashion. Specifically, one-way wave transmission, conversion and amplification as well as unidirectional wave blocking are demonstrated analytically through an asymptotic analysis based on coupled mode theory and numerically thanks to a series of simulations in harmonic and transient regimes. High-amplitude modulations are then explored in the homogenization limit where a non-standard effective mass operator is recovered and shown to take negative values over unusually large frequency bands. These modulated metamaterials, which exhibit either non-reciprocal behaviours or non-standard effective mass operators, offer promise for applications in the field of elastic wave control in general and in one-way conversion/amplification in particular.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Jun 01, 2017
- Source ID
- 10.1098/rspa.2017.0188
Entities
People
- A. N. Norris
- Guoliang Huang
- Haoze Chen
- Hussein Nassar
- M. R. Haberman
Organizations
- Air Force Office of Scientific Research
- Office of Emerging Frontiers and Multidisciplinary Activities
- Rutgers University
- University of Missouri
- University of Texas at Austin