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Various deformation modes of a multilayer van der Waals material

References [4,8,14,15,17] are:
[4] X. Zhang, S. Liu, and X. Shao, J. Lumin. 136, 32 (2013).
[8] A. Lopez-Bezanilla et al., J. Phys. Chem. Lett. 3, 2097 (2012).
[14] J. Lee, X. Zheng, R. C. Roberts, and P. X.-L. Peng, Diamond Relat. Mater. 54, 64 (2015)
[15] W. Bao, F. Miao, Z. Chen, H. Zhang, W. Jang, C. Dames, and C. N. Lau, Nat. Nanotechnol. 4, 562 (2009)
[17] S. Yang et al., Nano Lett. 15, 1660 (2015).

FROM:
Guorui Wang,1,4 Zhaohe Dai,2 Junkai Xiao,1 ShiZhe Feng,3 Chuanxin Weng,1
Luqi Liu,1 Zhiping Xu,3 Rui Huang,2 and Zhong Zhang1,4
1CAS Key Laboratory of Nanosystem and Hierarchical Fabrication, CAS Center for Excellence in Nanoscience, National Center for Nanoscience and Technology, Beijing 100190, China
2Department of Aerospace Engineering and Engineering Mechanics,
The University of Texas at Austin, Austin, Texas 78712, USA
3Applied Mechanics Laboratory, Department of Engineering Mechanics and Center for Nano and Micro Mechanics, Tsinghua University, Beijing 100084, China
4CAS Key Laboratory of Mechanical Behavior and Design of Materials, Department of Modern Mechanics, University of Science and Technology of China, Hefei 230026, China

“Bending of multilayer van der Waals materials”, Physical Review Letters, Vol. 123, Article ID 116101, 2019

ABSTRACT: Out-of-plane deformation patterns, such as buckling, wrinkling, scrolling, and folding, formed by multilayer van der Waals materials have recently seen a surge of interest. One crucial parameter governing these deformations is bending rigidity, on which significant controversy still exists despite extensive research for more than a decade. Here, we report direct measurements of bending rigidity of multilayer graphene, molybdenum disulfide (MoS2), and hexagonal boron nitride (hBN) based on pressurized bubbles. By controlling the sample thickness and bubbling deflection, we observe platelike responses of the multilayers and extract both their Young’s modulus and bending rigidity following a nonlinear plate theory. The measured Young’s moduli show good agreement with those reported in the literature (Egraphene > EhBN > EMoS2 ), but the bending rigidity follows an opposite trend, Dgraphene < DhBN < DMoS2 for multilayers with comparable thickness, in contrast to the classical plate theory, which is attributed to the interlayer shear effect in the van der Waals materials.

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