TY - JOUR
T1 - Triclinic Metamaterials by Tristable Origami with Reprogrammable Frustration
AU - Liu, Ke
AU - Pratapa, Phanisri P.
AU - Misseroni, Diego
AU - Tachi, Tomohiro
AU - Paulino, Glaucio H.
N1 - Funding Information:
K.L. and P.P.P. contributed equally to this work. The authors thank the support from the US National Science Foundation (NSF) through grant no.1538830. K.L acknowledges the support from Peking University College of Engineering. P.P.P. acknowledges the support from the Indian Institute of Technology Madras through the seed grant and the Science & Engineering Research Board (SERB) of the Department of Science & Technology, Government of India, through award SRG/2019/000999. D.M. is supported by the European Commission under the H2020 FET Open (“Boheme”) grant No. 863179 and by the ERC-ADG-2021-101052956-BEYOND. T.T. is supported by Japan Science and Technology Agency PRESTO JPMJPR1927. Note: The acknowledgements section was corrected on October 26, 2022, after initial publication online.
Funding Information:
K.L. and P.P.P. contributed equally to this work. The authors thank the support from the US National Science Foundation (NSF) through grant no.1538830. K.L acknowledges the support from Peking University College of Engineering. P.P.P. acknowledges the support from the Indian Institute of Technology Madras through the seed grant and the D.M. is supported by the European Commission under the H2020 FET Open (“Boheme”) grant No. 863179 and by the ERC‐ADG‐2021‐101052956‐BEYOND. T.T. is supported by Japan Science and Technology Agency PRESTO JPMJPR1927.
Publisher Copyright:
© 2022 Wiley-VCH GmbH.
PY - 2022/10/26
Y1 - 2022/10/26
N2 - Geometrical-frustration-induced anisotropy and inhomogeneity are explored to achieve unique properties of metamaterials that set them apart from conventional materials. According to Neumann's principle, to achieve anisotropic responses, the material unit cell should possess less symmetry. Based on such guidelines, a triclinic metamaterial system of minimal symmetry is presented, which originates from a Trimorph origami pattern with a simple and insightful geometry: a basic unit cell with four tilted panels and four corresponding creases. The intrinsic geometry of the Trimorph origami, with its changing tilting angles, dictates a folding motion that varies the primitive vectors of 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 reversible auxeticity in the changing triclinic frame, is observed experimentally, and predicted theoretically by elegant mathematical formulae. The nonlinearities of 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 result of geometric frustration. The frustration is reprogrammable into distinct stable and inhomogeneous states by arbitrarily selecting the location of a single or multiple point defects. The Trimorph origami demonstrates the possibility of creating origami metamaterials with symmetries that are hitherto nonexistent, leading to triclinic metamaterials with tunable anisotropy for potential applications such as wave propagation control and compliant microrobots.
AB - Geometrical-frustration-induced anisotropy and inhomogeneity are explored to achieve unique properties of metamaterials that set them apart from conventional materials. According to Neumann's principle, to achieve anisotropic responses, the material unit cell should possess less symmetry. Based on such guidelines, a triclinic metamaterial system of minimal symmetry is presented, which originates from a Trimorph origami pattern with a simple and insightful geometry: a basic unit cell with four tilted panels and four corresponding creases. The intrinsic geometry of the Trimorph origami, with its changing tilting angles, dictates a folding motion that varies the primitive vectors of 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 reversible auxeticity in the changing triclinic frame, is observed experimentally, and predicted theoretically by elegant mathematical formulae. The nonlinearities of 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 result of geometric frustration. The frustration is reprogrammable into distinct stable and inhomogeneous states by arbitrarily selecting the location of a single or multiple point defects. The Trimorph origami demonstrates the possibility of creating origami metamaterials with symmetries that are hitherto nonexistent, leading to triclinic metamaterials with tunable anisotropy for potential applications such as wave propagation control and compliant microrobots.
KW - geometric frustration
KW - multistability
KW - origami metamaterials
KW - reversible auxeticity
KW - triclinic materials
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U2 - 10.1002/adma.202107998
DO - 10.1002/adma.202107998
M3 - Article
C2 - 35790039
AN - SCOPUS:85138728958
SN - 0935-9648
VL - 34
JO - Advanced Materials
JF - Advanced Materials
IS - 43
M1 - 2107998
ER -