New metamaterials with macroscopic behavior outside that of continuum elastodynamics

Abstract

Metamaterials are constructed such that, for a narrow range of frequencies, the momentum density depends on the local displacement gradient, and the stress depends on the local velocity. In these models the momentum density generally depends not only on the strain, but also on the local rotation, and the stress is generally not symmetric. A variant is constructed for which, at a fixed frequency, the momentum density is independent of the local rotation (but still depends on the strain) and the stress is symmetric (but still depends on the velocity). Generalizations of these metamaterials may be useful in the design of elastic cloaking devices.

14 pages, 4 figures

References in corpus (5)

• Achieving transparency with plasmonic coatings
• Full-wave simulations of electromagnetic cloaking structures
• Calculation of material properties and ray tracing in transformation media
• Full-wave invisibility of active devices at all frequencies
• Three-dimensional electromagnetic metamaterials with non-Maxwellian effective fields

Cited by in corpus (5)

• Effectiveness and improvement of cylindrical cloaking with the SHS lining
• Realizable response matrices of multiterminal electrical, acoustic, and elastodynamic networks at a given frequency
• Invisibility and Inverse Problems
• The homogenization of orthorhombic piezoelectric composites by the strong-property-fluctuation theory
• On the homogenization of orthotropic elastic composites by the strong-property-fluctuation theory