Geometric transformations in designing new materials


  • Ligia Munteanu
  • Dan Dumitriu
  • Vetunia Chiroiu


geometric transformations, material design, Helmholtz equation, invariant, cloaking devices


In this paper, an original idea of designing new materials is investigated. The property of Helmholtz equation to be invariant under geometric transformations is exploited to obtain new materials with inhomogeneous and anisotropic distribution of elastic properties. This approach opens up the possibility to configure new materials that might be useful in the design of elastic cloaking devices.


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