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Applied Physics Letters / Volume 100 / Issue 19 / STRUCTURAL, MECHANICAL, OPTICAL, AND THERMODYNAMIC PROPERTIES OF ADVANCED MATERIALS

Appl. Phys. Lett. 100, 191901 (2012); http://dx.doi.org/10.1063/1.4709436 (4 pages)

On the practicability of pentamode mechanical metamaterials

Muamer Kadic1, Tiemo Bückmann1, Nicolas Stenger1, Michael Thiel2,3, and Martin Wegener1,2

1Institute of Applied Physics and DFG-Center for Functional Nanostructures (CFN), Karlsruhe Institute of Technology (KIT), 76131 Karlsruhe, Germany
2Institute of Nanotechnology (INT), Karlsruhe Institute of Technology (KIT), 76131 Karlsruhe, Germany
3Nanoscribe GmbH, Hermann-von-Helmholtz-Platz 1, 76344 Eggenstein-Leopoldshafen, Germany

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(Received 5 March 2012; accepted 16 March 2012; published online 7 May 2012)

Conceptually, all conceivable three-dimensional mechanical materials can be built from pentamode materials. Pentamodes also enable to implement three-dimensional transformation elastodynamics—the analogue of transformation optics. However, pentamodes have not been realized experimentally. Here, we investigate inasmuch the pentamode theoretical ideal suggested by Milton and Cherkaev in 1995 can be approximated by a metamaterial with current state-of-the-art lithography. Using numerical calculations calibrated by our fabricated three-dimensional microstructures, we find that the figure of merit, i.e., the ratio of bulk modulus to shear modulus, can realistically be made as large as about 1000.

© 2012 American Institute of Physics

ERRATUM

  1. Erratum: “On the practicability of pentamode mechanical metamaterials” [Appl. Phys. Lett. 100, 191901 (2012)]
    Muamer Kadic et al.
    Appl. Phys. Lett. 101, 049902 (2012)APPLAB000101000004049902000001

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KEYWORDS and PACS

Keywords

elastodynamics, metamaterials, shear modulus

PACS

  • 81.40.Jj

    Elasticity and anelasticity, stress-strain relations

  • 62.20.de

    Elastic moduli

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.4709436

PUBLICATION DATA

ISSN

0003-6951 (print)  
1077-3118 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

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    References

    M. Farhat, S. Guenneau, and S. Enoch, Phys. Rev. Lett. 103, 024301 (2009).

    S. A. Cummer, B.-I. Popa, D. Schurig, D. R. Smith, J. Pendry, M. Rahm, and A. Starr, Phys. Rev. Lett. 100, 024301 (2008).


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