Elastic cloaking theory

@article{Norris2011ElasticCT,
  title={Elastic cloaking theory},
  author={A. Norris and A. Shuvalov},
  journal={arXiv: Materials Science},
  year={2011}
}
The transformation theory of optics and acoustics is developed for the equations of linear anisotropic elasticity. The transformed equations correspond to non-unique material properties that can be varied for a given transformation by selection of the matrix relating displacements in the two descriptions. This gauge matrix can be chosen to make the transformed density isotropic for any transformation although the stress in the transformed material is not generally symmetric. Symmetric stress is… Expand
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References

SHOWING 1-10 OF 35 REFERENCES
One path to acoustic cloaking
  • 749
  • PDF
A sextic formalism for three–dimensional elastodynamics of cylindrically anisotropic radially inhomogeneous materials
  • A. Shuvalov
  • Mathematics
  • Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
  • 2003
  • 52
Acoustic cloaking theory
  • A. Norris
  • Physics
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
  • 2008
  • 426
  • PDF
...
1
2
3
4
...