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Hyperelastic antiplane ground cloaking.

Pu Zhang1, William J Parnell2

  • 1Department of Mechanical Engineering, Binghamton University, Binghamton, New York 13902, USA.

The Journal of the Acoustical Society of America
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Summary
This summary is machine-generated.

Hyperelastic materials can cloak elastic waves. The Arruda-Boyce material is an excellent candidate for antiplane ground cloaks (AGCs), outperforming Mooney-Rivlin materials.

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Area of Science:

  • Solid Mechanics
  • Materials Science
  • Acoustics

Background:

  • Hyperelastic materials offer reconfigurable elastic wave manipulation, serving as an alternative to microstructured metamaterials.
  • Previous research identified specific conditions for elastodynamic invariance in neo-Hookean and semi-linear materials.
  • Ground cloaking concepts, established in acoustics, have not been explored for elastodynamics using hyperelastic materials.

Purpose of the Study:

  • To investigate the potential of various hyperelastic materials for creating antiplane ground cloaks (AGCs).
  • To evaluate the performance of incompressible Arruda-Boyce and Mooney-Rivlin materials in the context of AGCs.

Main Methods:

  • Simulated the scattering problem for AGCs using finite element analysis.
  • Configured the cloaked region by indenting the material surface.
  • Examined the behavior of neo-Hookean, Arruda-Boyce, and Mooney-Rivlin hyperelastic materials.

Main Results:

  • Confirmed that neo-Hookean materials can generate a perfect hyperelastic AGC.
  • Demonstrated that the Arruda-Boyce medium is a highly effective material for AGCs.
  • Found the Mooney-Rivlin material's performance for AGCs to be unsatisfactory.

Conclusions:

  • Hyperelastic materials, particularly the Arruda-Boyce model, show significant promise for developing antiplane ground cloaks.
  • The study validates the use of neo-Hookean materials for perfect cloaking and highlights the Arruda-Boyce material's superior performance over Mooney-Rivlin for this application.