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From Geometric Transformations to Auxetic Metamaterials

Ligia Munteanu1, Veturia Chiroiu1, Viorel Şerban2

Institute of Solid Mechanics, Romanian Academy, Ctin Mille 15, 010141Bucharest, Romania.E-mails:;
Subsidiary of Technology and Engineering for Nuclear Projects, Atomistilor Street 409, Magurele, Bucharest. E-mail:

Computers, Materials & Continua 2014, 42(3), 175-204.


The paper introduces a new alternative towards fabrication of auxetic metamaterials (materials with negative Poisson’s ratio) controlled by geometric transformations. These transformations are derived from the theory of small (infinitesimal) elastic deformation superimposed on finite elastic deformations. By using this theory, a cylindrical region filled with initial deformed foam is transformed through deformation into a cylindrical shell region filled with auxetic metamaterial. As an example, the realization of the seismic cloak device becomes a practical possibility.


Cite This Article

L. . Munteanu, V. . Chiroiu and V. . ¸Serban, "From geometric transformations to auxetic metamaterials," Computers, Materials & Continua, vol. 42, no.3, pp. 175–204, 2014.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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