Geometry of Miura-folded metamaterials

作者: Mark Schenk , Simon D. Guest

DOI: 10.1073/PNAS.1217998110

关键词: EngineeringMetamaterialStackingGeometryStructural mechanicsKinematicsPoisson distribution

摘要: This paper describes two folded metamaterials based on the Miura-ori fold pattern. The structural mechanics of these are dominated by kinematics folding, which only depends geometry and therefore is scale-independent. First, a shell structure introduced, where pattern provides negative Poisson’s ratio for in-plane deformations positive out-of-plane bending. Second, cellular metamaterial described stacking individual layers, folding compatible between layers. Additional freedom in design can be achieved varying within each layer.

参考文章(19)
Joseph Gattas, Zhong You, FOLDED SHELL STRUCTURES Isis Innovation Limited. ,(2014)
Kōryō Miura, Method of Packaging and Deployment of Large Membranes in Space The Institute of Space and Astronautical Science report. ,vol. 618, pp. 1- 9 ,(1985)
S. D. Guest, J. M. Allwood, Mark Schenk, Cold Gas-Pressure Folding of Miura-ori Sheets International Conference on Technology of Plasticity. ,(2011)
Hellmuth Stachel, A kinematic approach to Kokotsakis meshes Computer Aided Geometric Design. ,vol. 27, pp. 428- 437 ,(2010) , 10.1016/J.CAGD.2010.05.002
Lakshminarayanan Mahadevan, Sergio Rica, Self-organized origami Science. ,vol. 307, pp. 1740- 1740 ,(2005) , 10.1126/SCIENCE.1105169
T. A. Witten, Stress focusing in elastic sheets Reviews of Modern Physics. ,vol. 79, pp. 643- 675 ,(2007) , 10.1103/REVMODPHYS.79.643
A. P. Korte, G. H. M. van der Heijden, E. L. Starostin, Triangular buckling patterns of twisted inextensible strips Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences. ,vol. 467, pp. 285- 303 ,(2011) , 10.1098/RSPA.2010.0200
G. T Pickett, Self-folding origami membranes EPL. ,vol. 78, pp. 48003- ,(2007) , 10.1209/0295-5075/78/48003
R. LAKES, Foam Structures with a Negative Poisson's Ratio. Science. ,vol. 235, pp. 1038- 1040 ,(1987) , 10.1126/SCIENCE.235.4792.1038
Huffman, Curvature and Creases: A Primer on Paper IEEE Transactions on Computers. ,vol. 25, pp. 1010- 1019 ,(1976) , 10.1109/TC.1976.1674542