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Multistable mechanical metamaterials for 3D positioning

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Delft University of Technology

Multistable mechanical metamaterials for 3D positioning

Zhang, Yong; Wang, Qi; Tichem, Marcel; van Keulen, Fred

Publication date 2018

Document Version Final published version

Citation (APA)

Zhang, Y., Wang, Q., Tichem, M., & van Keulen, F. (2018). Multistable mechanical metamaterials for 3D positioning. Abstract from ESMC 2018: 10th European Solid Mechanics Conference, Bologna, Italy. Important note

To cite this publication, please use the final published version (if applicable). Please check the document version above.

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Multistable Mechanical Metamaterials for 3D Positioning

Yong Zhang, Qi Wang, Marcel Tichem, Fred van Keulen

Department of Precision and Microsystems Engineering, Delft University of Technology, Delft, The Netherlands

E-mail:Y.Zhang-15@tudelft.nl, Q.Wang-3@tudelft.nl, M.Tichem@tudelft.nl, A.vanKeulen@tudelft.nl

Keywords: multistability, metamaterials, positioning

Mechanical metamaterials obtain effective properties mainly from their elementary structure rather than constituent materials [1]. Multistable mechanical metamaterials are kinematic structures with multiple stable configurations. Switching between stable configurations may happen due to an ex-ternal stimulus. The configuration transition is usually caused by exploiting elastic instability to develop programmable materials [2]. As a type of elastic instability, snap-through instability can cause a structure to instantaneously jump from one stable state to another. The motion associated with the geometrical changes can potentially be used for positioning and switching devices [3,4]. In most previous work, the motion is usually confined to one direction due to transitions of planar stable configurations, which limits applications. Here, we present and explore a multistable meta-material with motions in multiple directions. Its unit cell is composed of two parallel hexagonal frames which contain buckling elements. A three dimensional multilayer multistable metamaterial is obtained by distributing this hexagonal unit cells in three dimensions. This metamaterial can not only achieve vertical motion with transitions of different planar stable configurations but also certain rotations as a consequence of various spatial stable states. This programmable behavior implies that this type of multistable metamaterials can be used, among others, for three dimensional positioning applications. Utilizing numerical models, the nonlinear mechanics of this type of metamaterials is analyzed. The kinematics, critical loads and multiple configurations are studied by finite element techniques and experimental observations. Furthermore, for each layer, the number of stable config-urations and relevant motion range are connected with the number of unit cells. Numerical models are employed to investigate effects of cells and used to provide design principles for the proposed multistable mechanical metamaterials.

References

[1] Lee, J.H., Singer, J.P. and Thomas, E.L., Micro-/nanostructured mechanical metamterials, Ad-vanced Materials,24(36), pp. 4782-4810 (2012).

[2] Bertoldi, K., Harnessing Instabilities to Design Tunable Architected Cellular Materials, An-nual Review of Materials Research,47, pp. 51-61 (2017).

[3] Che, K., Yuan, C., Wu, J., Qi, H.J. and Meaud, J., Three-Dimensional-Printed Multistable Mechanical Metamaterials With a Deterministic Deformation Sequence, Journal of Applied Mechanics,84(1), p. 011004 (2017).

[4] Hu, N. and Burgue˜no, R., Buckling-induced smart applications: recent advances and trends, Smart Materials and Structures,24(6), p. 063001 (2015).

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