An approximate method for controlling solid elastic waves by transformation media

Details An approximate method for controlling solid elastic waves by transformation media An approximate method for controlling solid elastic waves by transformation media

2010-08-10

arxiv.org/abs/1008.1641v3

Phys. Rev. B 84, 201101(R) (2011)

Physics

Classical Physics

11 pages, 1 figures

Scientific paper

10.1103/PhysRevB.84.201101

By idealizing a general mapping as a series of local affine ones, we derive approximately transformed material parameters necessary to control solid elastic waves within classical elasticity theory. The transformed elastic moduli are symmetric, and can be used with Navier's equation to manipulate elastic waves. It is shown numerically that the method can provide a powerful tool to control elastic waves in solids in case of high frequency or small material gradient. Potential applications can be anticipated in nondestructive testing, structure impact protection, petroleum exploration and seismology.

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