A metamaterial that twists to right or the left in response to straight, solid push

A metamaterial that twists to right or the left in response to straight, solid push
Calculated deformed cell and displacement under uniaxial loading. The arrows aid the discussion of the mechanism: 1. The arms connecting the corners with the rings move downward. 2. This motion leads to a rotation of the rings. 3. This rotation exerts forces onto the corners in the plane normal to the pushing axis, resulting in an overall twist of the unit cell around this axis. Credit: (c) Science (2017). DOI: 10.1126/science.aao4640

(Phys.org)—A trio of researchers with Karlsruhe Institute of Technology in Germany and Université de Bourgogne Franche-Comté in France has developed a metamaterial that twists either to the right or the left in response to a straight, solid push. In their paper published in the journal Science, Tobias Frenzel, Muamer Kadic, and Martin Wegener describe how they came up with the metamaterial and offer some ideas on the ways it might be put to use. Corentin Coulais with the University of Amsterdam offers a Perspective piece on the work done by the team (and some background on how linear elasticity applies to all materials and the foundation of solid mechanics) in the same journal issue.

With normal materials, whether natural or man-made, applying a linear force typically causes the material to expand at a right angle relative to the applied force. In this new effort, the research trio has created a metamaterial that instead twists either right or left.

To create such a material, the researchers used numerical modeling to come up with a cubic form for a cell unit—when such units were configured together, the team found, they would twist when a force was applied. To test their model, the team printed out an actual structure using a 3-D laser. Each cell, the team notes, was made with rings in its faces that led to a rotational effect, with the corners of the cell pulling back around them. Testing showed that the metamaterial could deform at a rate of more than 2 percent per percentage of shortening.

A video of a sample during measurement. The left part exhibits a bottom view onto the plate in between the left- and right-handed part of the samples. The right part is a side view onto the same sample. Upon pushing onto the sample, one can see a rotation around the pushing axis on the left and a compression along the pushing axis on the right-hand. For illustration, the in plane displacement vectors are depicted in blue and red. Credit: T. Frenzel et al., Science (2017)

The researchers found that making the smaller and using a larger number of them to create a structure of the same size resulted in an increase in stiffness and a smaller amount of twisting. This, they note, lies in sharp contrast to how materials normally behave under classical continuum mechanics—where there would be no twisting and the degree of stiffness would normally be independent of scale. They note further that a metamaterial with twisting properties could lend itself to a wide variety of optical applications, such as in devices that guide fields or other types of waves around an obstacle.

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More information: Tobias Frenzel et al. Three-dimensional mechanical metamaterials with a twist, Science (2017). DOI: 10.1126/science.aao4640

Rationally designed artificial materials enable mechanical properties that are inaccessible with ordinary materials. Pushing on an ordinary linearly elastic bar can cause it to be deformed in many ways. However, a twist, the counterpart of optical activity in the static case, is strictly zero. The unavailability of this degree of freedom hinders applications in terms of mode conversion and the realization of advanced mechanical designs using coordinate transformations. Here, we aim at realizing microstructured three-dimensional elastic chiral mechanical metamaterials that overcome this limitation. On overall millimeter-sized samples, we measure twists per axial strain exceeding 2°/%. Scaling up the number of unit cells for fixed sample dimensions, the twist is robust due to metamaterial stiffening, indicating a characteristic length scale and bringing the aforementioned applications into reach.

Journal information: Science

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