Journal
APPLIED PHYSICS LETTERS
Volume 94, Issue 6, Pages -Publisher
AMER INST PHYSICS
DOI: 10.1063/1.3068491
Keywords
elastic waves; elasticity; finite element analysis; Green's function methods; Navier-Stokes equations
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Funding
- EPSRC-GB [EP/F027125/1]
- EPSRC [EP/F027125/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/F027125/1] Funding Source: researchfish
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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 , N. J. Phys. 8, 248 (2006)]. The validity of our approach is confirmed by comparison of the analytic Green's function in homogeneous isotropic elastic space against full-wave finite element computations in a heterogeneous anisotropic elastic region surrounded by perfectly matched layers.
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