English

An approximate method for controlling solid elastic waves by transformation media

Classical Physics 2011-11-04 v3

Abstract

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.

Keywords

Cite

@article{arxiv.1008.1641,
  title  = {An approximate method for controlling solid elastic waves by transformation media},
  author = {Jin Hu and Zheng Chang and Gengkai Hu},
  journal= {arXiv preprint arXiv:1008.1641},
  year   = {2011}
}

Comments

11 pages, 1 figures

R2 v1 2026-06-21T15:58:53.136Z