Achieving control of in-plane elastic waves

@article{Brun2009AchievingCO,
  title={Achieving control of in-plane elastic waves},
  author={Michele Brun and S. Guenneau and A. Movchan},
  journal={Applied Physics Letters},
  year={2009},
  volume={94},
  pages={061903}
}
  • Michele Brun, S. Guenneau, A. Movchan
  • Published 2009
  • Physics
  • Applied Physics Letters
  • We derive the elastic properties of a cylindrical cloak for in-plane coupled shear and pressure waves. The cloak is characterized by a rank 4 elasticity tensor with spatially varying entries, which are deduced from a geometric transform. Remarkably, the Navier equations retain their form under this transform, which is generally untrue [G. W. Milton et al., N. J. Phys. 8, 248 (2006)]. The validity of our approach is confirmed by comparison of the analytic Green’s function in homogeneous… CONTINUE READING
    248 Citations

    Figures from this paper

    Controlling solid elastic waves with spherical cloaks
    • 33
    • PDF
    Transformation cloaking and radial approximations for flexural waves in elastic plates
    • 34
    • PDF
    Cloaking In-Plane Elastic Waves with Swiss Rolls
    • 2
    • Highly Influenced
    • PDF
    Some results in near-cloaking for elasticity systems
    • 4
    • Highly Influenced
    A degenerate polar lattice for cloaking in full two-dimensional elastodynamics and statics
    • 10
    • PDF
    Hyperelastic cloaking theory: transformation elasticity with pre-stressed solids
    • A. Norris, W. Parnell
    • Physics
    • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
    • 2012
    • 58
    • PDF

    References

    SHOWING 1-10 OF 48 REFERENCES
    One path to acoustic cloaking
    • 746
    • PDF
    Broadband cylindrical acoustic cloak for linear surface waves in a fluid.
    • 278
    Scattering theory derivation of a 3D acoustic cloaking shell.
    • 384
    • PDF
    Green's tensors and lattice sums for electrostatics and elastodynamics
    • 49
    Acoustic cloaking theory
    • A. Norris
    • Physics
    • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
    • 2008
    • 425
    • PDF
    Théorie des Corps déformables
    • 1,576