Fluid-like elasticity induced by anisotropic effective mass density

Guancong Ma, Caixing Fu, Guanghao Wang, Philipp del Hougne, Johan Christensen, Yun Lai, Ping Sheng

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We present a three-dimensional anisotropic elastic metamaterial, which can generate dipolar resonances. Repeating these subwavelength units can lead to one-dimensional arrays, which are essentially elastic rods that can withstand both longitudinal, and flexural vibrations. Band structure analysis shows the systems can have distinctive responses to waves with each polarization. In particular, we demonstrate that only longitudinal wave can propagate within a finite frequency regime, whereas transverse (flexural) waves meet a bandgap — a property conventionally found only in fluids. Effective medium calculation reveals that the indefinite effective mass density (positive along one spatial direction, but negative along another) is responsible to this exotic behavior. Experiments show good agreement with theoretical predictions and simulations. Our findings can see applications in many scenarios such as civil engineering and seismic wave control.
Original languageEnglish
Publication date2016
Number of pages1
Publication statusPublished - 2016
EventProgress In Electromagnetics Research Symposium 2016 - Shanghai International Convention Center, Shanghai, China
Duration: 8 Aug 201611 Aug 2016


ConferenceProgress In Electromagnetics Research Symposium 2016
LocationShanghai International Convention Center


  • wave propagation
  • bending
  • effective mass
  • elasticity
  • energy gap
  • metamaterials
  • rods (structures)
  • vibrations
  • seismic wave control
  • fluid-like elasticity
  • anisotropic effective mass density
  • three-dimensional anisotropic elastic metamaterial
  • dipolar resonances
  • elastic rods
  • flexural vibrations
  • longitudinal vibrations
  • band structure analysis
  • finite frequency regime
  • transverse flexural waves
  • bandgap
  • effective medium calculation
  • exotic proeprty
  • civil engineering control
  • Electromagnetics
  • Elasticity
  • Photonics
  • Metamaterials
  • Vibrations
  • Photonic band gap
  • Elasticity and anelasticity
  • Deformation, plasticity and creep
  • Elasticity, elastic constants
  • Deformation and plasticity
  • Electronic structure: density of states and band structure (condensed matter)
  • Effective mass and g-factors (condensed matter electronic structure)

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