Deformation-induced topological transitions in mechanical metamaterials and their application to tunable non-linear stiffening

Mechanical metamaterials are periodic lattice structures with complex unit cell architectures that can achieve extraordinary mechanical properties beyond the capability of bulk materials. A class of metamaterials is proposed, whose mechanical properties rely on deformation-induced transitions in nod...

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Main Authors: Marius A. Wagner, Fabian Schwarz, Nick Huber, Lena Geistlich, Henning Galinski, Ralph Spolenak
Format: Article
Language:English
Published: Elsevier 2022-09-01
Series:Materials & Design
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S0264127522005408
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author Marius A. Wagner
Fabian Schwarz
Nick Huber
Lena Geistlich
Henning Galinski
Ralph Spolenak
author_facet Marius A. Wagner
Fabian Schwarz
Nick Huber
Lena Geistlich
Henning Galinski
Ralph Spolenak
author_sort Marius A. Wagner
collection DOAJ
description Mechanical metamaterials are periodic lattice structures with complex unit cell architectures that can achieve extraordinary mechanical properties beyond the capability of bulk materials. A class of metamaterials is proposed, whose mechanical properties rely on deformation-induced transitions in nodal-topology by formation of internal self-contact. The universal nature of the principle presented, is demonstrated for tension, compression, shear and torsion. In particular, it is shown that by frustration of soft deformation modes, large highly non-linear stiffening effects can be generated. The tunable non-linear modulus increase can be exploited to design materials mimicking the complex mechanical response of biological tissue.
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spelling doaj.art-f91aaef066e64b80802163374624bf642022-12-22T02:16:10ZengElsevierMaterials & Design0264-12752022-09-01221110918Deformation-induced topological transitions in mechanical metamaterials and their application to tunable non-linear stiffeningMarius A. Wagner0Fabian Schwarz1Nick Huber2Lena Geistlich3Henning Galinski4Ralph Spolenak5Corresponding authors.; Laboratory for Nanometallurgy, Department of Materials, ETH Zürich, Vladimir-Prelog-Weg 5, CH-8093 Zürich, SwitzerlandCorresponding authors.; Laboratory for Nanometallurgy, Department of Materials, ETH Zürich, Vladimir-Prelog-Weg 5, CH-8093 Zürich, SwitzerlandLaboratory for Nanometallurgy, Department of Materials, ETH Zürich, Vladimir-Prelog-Weg 5, CH-8093 Zürich, SwitzerlandLaboratory for Nanometallurgy, Department of Materials, ETH Zürich, Vladimir-Prelog-Weg 5, CH-8093 Zürich, SwitzerlandLaboratory for Nanometallurgy, Department of Materials, ETH Zürich, Vladimir-Prelog-Weg 5, CH-8093 Zürich, SwitzerlandLaboratory for Nanometallurgy, Department of Materials, ETH Zürich, Vladimir-Prelog-Weg 5, CH-8093 Zürich, SwitzerlandMechanical metamaterials are periodic lattice structures with complex unit cell architectures that can achieve extraordinary mechanical properties beyond the capability of bulk materials. A class of metamaterials is proposed, whose mechanical properties rely on deformation-induced transitions in nodal-topology by formation of internal self-contact. The universal nature of the principle presented, is demonstrated for tension, compression, shear and torsion. In particular, it is shown that by frustration of soft deformation modes, large highly non-linear stiffening effects can be generated. The tunable non-linear modulus increase can be exploited to design materials mimicking the complex mechanical response of biological tissue.http://www.sciencedirect.com/science/article/pii/S0264127522005408Mechanical MetamaterialsTopology TransitionKinematically Indeterminate FrameworksNon-linear StiffnessStrain-StiffeningDeformation Modes
spellingShingle Marius A. Wagner
Fabian Schwarz
Nick Huber
Lena Geistlich
Henning Galinski
Ralph Spolenak
Deformation-induced topological transitions in mechanical metamaterials and their application to tunable non-linear stiffening
Materials & Design
Mechanical Metamaterials
Topology Transition
Kinematically Indeterminate Frameworks
Non-linear Stiffness
Strain-Stiffening
Deformation Modes
title Deformation-induced topological transitions in mechanical metamaterials and their application to tunable non-linear stiffening
title_full Deformation-induced topological transitions in mechanical metamaterials and their application to tunable non-linear stiffening
title_fullStr Deformation-induced topological transitions in mechanical metamaterials and their application to tunable non-linear stiffening
title_full_unstemmed Deformation-induced topological transitions in mechanical metamaterials and their application to tunable non-linear stiffening
title_short Deformation-induced topological transitions in mechanical metamaterials and their application to tunable non-linear stiffening
title_sort deformation induced topological transitions in mechanical metamaterials and their application to tunable non linear stiffening
topic Mechanical Metamaterials
Topology Transition
Kinematically Indeterminate Frameworks
Non-linear Stiffness
Strain-Stiffening
Deformation Modes
url http://www.sciencedirect.com/science/article/pii/S0264127522005408
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