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      Buckling of regular, chiral and hierarchical honeycombs under a general macroscopic stress state

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          Abstract

          An approach to obtain analytical closed-form expressions for the macroscopic ‘buckling strength’ of various two-dimensional cellular structures is presented. The method is based on classical beam-column end-moment behaviour expressed in a matrix form. It is applied to sample honeycombs with square, triangular and hexagonal unit cells to determine their buckling strength under a general macroscopic in-plane stress state. The results were verified using finite-element Eigenvalue analysis.

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          Photonic structures in biology.

          Millions of years before we began to manipulate the flow of light using synthetic structures, biological systems were using nanometre-scale architectures to produce striking optical effects. An astonishing variety of natural photonic structures exists: a species of Brittlestar uses photonic elements composed of calcite to collect light, Morpho butterflies use multiple layers of cuticle and air to produce their striking blue colour and some insects use arrays of elements, known as nipple arrays, to reduce reflectivity in their compound eyes. Natural photonic structures are providing inspiration for technological applications.
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            Water capture by a desert beetle.

            Some beetles in the Namib Desert collect drinking water from fog-laden wind on their backs. We show here that these large droplets form by virtue of the insect's bumpy surface, which consists of alternating hydrophobic, wax-coated and hydrophilic, non-waxy regions. The design of this fog-collecting structure can be reproduced cheaply on a commercial scale and may find application in water-trapping tent and building coverings, for example, or in water condensers and engines.
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              Negative Poisson's ratio behavior induced by an elastic instability.

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                Author and article information

                Journal
                Proc Math Phys Eng Sci
                Proc. Math. Phys. Eng. Sci
                RSPA
                royprsa
                Proceedings. Mathematical, Physical, and Engineering Sciences / The Royal Society
                The Royal Society Publishing
                1364-5021
                1471-2946
                8 July 2014
                8 July 2014
                : 470
                : 2167
                : 20130856
                Affiliations
                Department of Mechanical and Industrial Engineering, Northeastern University , Boston, MA, USA
                Author notes
                Article
                rspa20130856
                10.1098/rspa.2013.0856
                4032554
                949c4b83-54e6-4276-b8ee-da033acf76ba

                © 2014 The Authors. Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/3.0/, which permits unrestricted use, provided the original author and source are credited.

                History
                : 23 December 2013
                : 14 April 2014
                Categories
                1006
                121
                177
                Research Articles
                Custom metadata
                July 8, 2014

                Physics
                instability,cellular structure,beam-column,in-plane loading
                Physics
                instability, cellular structure, beam-column, in-plane loading

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