Triclinic Metamaterials by Tristable Origami with Reprogrammable Frustration

Ke Liu; Phanisri P. Pratapa; Diego MisseroniTomohiro TachiGlaucio H. Paulino

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Triclinic Metamaterials by Tristable Origami with Reprogrammable Frustration

机译：Triclinic Metamaterials by Tristable Origami with Reprogrammable Frustration

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Geometrical-frustration-induced anisotropy and inhomogeneity are exploredto achieve unique properties of metamaterials that set them apart fromconventional materials. According to Neumann’s principle, to achieve anisotropicresponses, the material unit cell should possess less symmetry. Basedon such guidelines, a triclinic metamaterial system of minimal symmetry ispresented, which originates from a Trimorph origami pattern with a simpleand insightful geometry: a basic unit cell with four tilted panels and four correspondingcreases. The intrinsic geometry of the Trimorph origami, with itschanging tilting angles, dictates a folding motion that varies the primitive vectorsof the unit cell, couples the shear and normal strains of its extrinsic bulk,and leads to an unusual Poisson effect. Such an effect, associated with reversibleauxeticity in the changing triclinic frame, is observed experimentally, andpredicted theoretically by elegant mathematical formulae. The nonlinearitiesof the folding motions allow the unit cell to display three robust stable states,connected through snapping instabilities. When the tristable unit cells are tessellated,phenomena that resemble linear and point defects emerge as a resultof geometric frustration. The frustration is reprogrammable into distinct stableand inhomogeneous states by arbitrarily selecting the location of a single ormultiple point defects. The Trimorph origami demonstrates the possibility ofcreating origami metamaterials with symmetries that are hitherto nonexistent,leading to triclinic metamaterials with tunable anisotropy for potential applicationssuch as wave propagation control and compliant microrobots.

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《Advanced Materials》 |2022年第43期|2107998.1-2107998.11|共11页
作者
Ke Liu; Phanisri P. Pratapa; Diego MisseroniTomohiro TachiGlaucio H. Paulino;
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Department of Advanced Manufacturing and RoboticsPeking UniversityBeijing 100871, China;

Department of Civil EngineeringIndian Institute of Technology MadrasChennai, TN 600036, India;

Department of CivilEnvironmental and Mechanical EngineeringUniversity of TrentoTrento 38123, ItalyGraduate School of Arts and SciencesUniversity of TokyoTokyo 153-8902, JapanDepartment of Civil and Environmental EngineeringPrinceton UniversityPrinceton, NJ 08544, USA, Princeton Institute for the Science and Technology of Materials (PRISM)Princeton UniversityPrinceton, NJ 08544, USA;

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geometric frustration; multistability; origami metamaterials; reversible auxeticity; triclinic materials;

Triclinic Metamaterials by Tristable Origami with Reprogrammable Frustration

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