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Issue 22, 2010
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The mechanics of non-Euclidean plates

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Non-Euclidean plates are plates (“stacks” of identical surfaces) whose two-dimensional intrinsic geometry is not Euclidean, i.e. cannot be realized in a flat configuration. They can be generated via different mechanisms, such as plastic deformation, natural growth or differential swelling. In recent years there has been a concurrent theoretical and experimental progress in describing and fabricating non-Euclidean plates (NEP). In particular, an effective plate theory was derived and experimental methods for a controlled fabrication of responsive NEP were developed. In this paper we review theoretical and experimental works that focus on shape selection in NEP and provide an overview of this new field. We made an effort to focus on the governing principles, rather than on details and to relate the main observations to known mechanical behavior of ordinary plates. We also point out to open questions in the field and to its applicative potential.

Graphical abstract: The mechanics of non-Euclidean plates

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The article was received on 06 Jun 2010, accepted on 13 Jul 2010 and first published on 19 Oct 2010

Article type: Tutorial Review
DOI: 10.1039/C0SM00479K
Soft Matter, 2010,6, 5693-5704

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    The mechanics of non-Euclidean plates

    E. Sharon and E. Efrati, Soft Matter, 2010, 6, 5693
    DOI: 10.1039/C0SM00479K

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