Mechanical reinforcement of graphene via wrinkling
Source abstract
Abstract
Mechanical cantilevers are central to nanotechnology, where low bending rigidity makes stability the fundamental challenge. Here, we introduce a wrinkle-induced stiffening approach that enhances the bending rigidity of monolayer graphene by several orders of magnitude, enabling the fabrication of mechanically robust graphene cantilevers. When suspended over microcavities, these wrinkled membranes exhibit significant increases in both in-plane and out-of-plane stiffness, as confirmed by nanoindentation and resonance measurements, which also reveal that enhanced bending rigidity strongly influences their vibrational response. This behavior marks a transition from tension-dominated mechanics to a regime where bending effects become prominent, even in a single atomic layer. By sculpting these structures, we realize graphene cantilevers with measured bending rigidities between 106–107 eV, while maintaining femtogram-scale mass. These findings establish a mechanical stabilization mechanism for realizing ultrathin cantilevers and highlight their potential for applications where high compliance is of importance.
Source: openalex_inverted_index · Quality: baseline
Research context
OpenAlex topics: Graphene research and applications · Advanced Materials and Mechanics · Structural Analysis and Optimization
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (40)
Show source-provided references
1. Deng, S. & Berry, V. Wrinkled, rippled and crumpled graphene: an overview of formation mechanism, electronic properties, and applications. Mater. Today 19, 197–212 (2016).10.1016/j.mattod.2015.10.002 ↗
2. Fasolino, A., Los, J. H. & Katsnelson, M. I. Intrinsic ripples in graphene. Nat. Mater. 6, 858–861 (2007).10.1038/nmat2011 ↗
3. Los, J. H., Fasolino, A. & Katsnelson, M. I. Scaling behavior and strain dependence of in-plane elastic properties of graphene. Phys. Rev. Lett. 116, 015901 (2016).10.1103/PhysRevLett.116.015901 ↗
4. Arjmandi-Tash, H., Allain, A., Han, Z. V. & Bouchiat, V. Large scale integration of CVD-graphene-based NEMS with narrow distribution of resonance parameters. 2D Mater. 4, 025023 (2017).10.1088/2053-1583/aa57c6 ↗
5. Sajadi, B. et al. Size- and temperature-dependent bending rigidity of graphene using modal analysis. Carbon N. Y. 139, 334–341 (2018).10.1016/j.carbon.2018.06.066 ↗
6. Nicholl, R. J. T. et al. The effect of intrinsic crumpling on the mechanics of free-standing graphene. Nat. Commun. 6, 8789 (2015).10.1038/ncomms9789 ↗
7. Ares, P. et al. Van der Waals interaction affects wrinkle formation in two-dimensional materials. Proc. Natl. Acad. Sci. USA 118, e2025870118 (2021).10.1073/pnas.2025870118 ↗
8. Verbiest, G. J., Stampfer, C., Huber, S. E., Andersen, M. & Reuter, K. Interplay between nanometer-scale strain variations and externally applied strain in graphene. Phys. Rev. B 93, 195438 (2016).10.1103/PhysRevB.93.195438 ↗
9. Sarafraz, A. et al. Nonlinear elasticity of wrinkled atomically thin membranes. J. Appl. Phys. 130, 184302 (2021).10.1063/5.0061822 ↗
10. Nicholl, R. J., Lavrik, N. V., Vlassiouk, I., Srijanto, B. R. & Bolotin, K. I. Hidden Area and Mechanical Nonlinearities in Freestanding Graphene. Phys. Rev. Lett. 118, 1–6 (2017).10.1103/PhysRevLett.118.266101 ↗
11. Zang, J. et al. Multifunctionality and control of the crumpling and unfolding of large-area graphene. Nat. Mater. 12, 321–5 (2013).10.1038/nmat3542 ↗
12. Zhang, K. & Arroyo, M. Understanding and strain-engineering wrinkle networks in supported graphene through simulations. J. Mech. Phys. Solids 72, 61–74 (2014).10.1016/j.jmps.2014.07.012 ↗
13. Davidovitch, B. & Démery, V. Rucks and folds: delamination from a flat rigid substrate under uniaxial compression. Eur. Phys. J. E 44, 11 (2021).10.1140/epje/s10189-021-00020-1 ↗
14. Ahmad, M., Han, S. A., Tien, D. H., Jung, J. & Seo, Y. Local conductance measurement of graphene layer using conductive atomic force microscopy. J. Appl. Phys. 110, 054307 (2011).10.1063/1.3626058 ↗
15. Blees, M. K. et al. Graphene kirigami. Nature 524, 204–207 (2015).10.1038/nature14588 ↗
16. Zhou, J. et al. Rippled metamaterials with scale-dependent tailorable elasticity. Proc. Natl. Acad. Sci. USA 122, e2425200122 (2025).10.1073/pnas.2425200122 ↗
17. Van Der Zande, A. M. et al. Large-scale arrays of single-layer graphene resonators. Nano Lett. 10, 4869–4873 (2010).10.1021/nl102713c ↗
18. Castellanos-gomez, A., Singh, V., Zant, H. S. J. V. D. & Steele, G. A. Mechanics of freely-suspended ultrathin layered materials. Ann. Phys. 527, 27–44 (2015).10.1002/andp.201400153 ↗
19. Lima, L. M., Arjmandi-Tash, H. & Schneider, G. F. Lateral non-covalent clamping of graphene at the edges using a lipid scaffold. ACS Appl. Mater. Interfaces 10, 11328–11332 (2018).10.1021/acsami.8b00916 ↗
20. Arjmandi-Tash, H., Kloosterman, A. & Schneider, G. F. Topological regard to graphene: elucidating the morphology-strain correlation. arXiv http://arxiv.org/abs/1809.09962 (2018).
21. Chandler, T. G. & Vella, D. Indentation of suspended two-dimensional solids: The signatures of geometrical and material nonlinearity. J. Mech. Phys. Solids 144, 104109 (2020).10.1016/j.jmps.2020.104109 ↗
22. Vella, D. & Davidovitch, B. Indentation metrology of clamped, ultra-thin elastic sheets. Soft Matter 13, 2264–2278 (2017).10.1039/C6SM02451C ↗
23. Lee, C., Wei, X., Kysar, J. W. & Hone, J. Measurement of the elastic properties and intrinsic strength of monolayer graphene. Science. 321, 385–388 (2008).10.1126/science.1157996 ↗
24. Sajadi, B. et al. Experimental characterization of graphene by electrostatic resonance frequency tuning. J. Appl. Phys. 122, 234302 (2017).10.1063/1.4999682 ↗
25. Davidovikj, D. et al. Nonlinear dynamic characterization of two-dimensional materials. Nat. Commun. 8, 1–7 (2017).10.1038/s41467-017-01351-4 ↗
26. Šiškins, M. et al. Nonlinear dynamics and magneto-elasticity of nanodrums near the phase transition. Nat. Commun. 16, 1–9 (2025).10.1038/s41467-025-57317-4 ↗
27. Košmrlj, A. & Nelson, D. R. Mechanical properties of warped membranes. Phys. Rev. E 88, 012136 (2013).10.1103/PhysRevE.88.012136 ↗
28. Kumar, D., Russell, T. P., Davidovitch, B. & Menon, N. Stresses in thin sheets at fluid interfaces. Nat. Mater. 19, 690–693 (2020).10.1038/s41563-020-0640-9 ↗
29. Sarafraz, A. et al. Quantifying stress distribution in ultra-large graphene drums through mode shape imaging. npj 2D Mater. Appl. 8, 45 (2024).10.1038/s41699-024-00485-6 ↗
30. Keşkekler, A. et al. Tuning nonlinear damping in graphene nanoresonators by parametric–direct internal resonance. Nat. Commun. 12, 1099 (2021).10.1038/s41467-021-21334-w ↗
31. Davidovikj, D. et al. Visualizing the motion of graphene nanodrums. Nano Lett. 16, 2768–2773 (2016).10.1021/acs.nanolett.6b00477 ↗
32. Castellanos-Gomez, A. et al. Single-layer MoS2 mechanical resonators. Adv. Mater. 25, 6719–6723 (2013).10.1002/adma.201303569 ↗
33. Wopereis, M. P. et al. Tuning dissipation dilution in 2d material resonators by MEMS-induced tension. J. Appl. Phys. 136, 014302 (2024).10.1063/5.0203122 ↗
34. Steeneken, P. G., Dolleman, R. J., Davidovikj, D., Alijani, F. & Van der Zant, H. S. Dynamics of 2d material membranes. 2D Mater. 8, 042001 (2021).10.1088/2053-1583/ac152c ↗
35. Nelson, D. R. & Peliti, L. Fluctuations in membranes with crystalline and hexatic order. J. Phys. Fr. 48, 1085–1092 (1987).10.1051/jphys:019870048070108500 ↗
36. Li, M., Tang, H. X. & Roukes, M. L. Ultra-sensitive NEMS-based cantilevers for sensing, scanned probe and very high-frequency applications. Nat. Nanotechnol. 2, 114–120 (2007).10.1038/nnano.2006.208 ↗
37. Boisen, A., Dohn, S., Keller, S. S., Schmid, S. & Tenje, M. Cantilever-like micromechanical sensors. Rep. Prog. Phys. 74, 036101 (2011).10.1088/0034-4885/74/3/036101 ↗
38. Zhou, J. et al. Nanometer-thick ultraflat cantilever resonators. J. Micromech. Microeng. 35, 075001 (2025).10.1088/1361-6439/ade44a ↗
39. Thundat, T., Oden, P. & Warmack, R. Microcantilever sensors. Microscale Thermophys. Eng. 1, 185–199 (1997).10.1080/108939597200214 ↗
40. Kohler, A., Venturelli, L., Longo, G., Dietler, G. & Kasas, S. Nanomotion detection based on atomic force microscopy cantilevers. Cell Surf. 5, 100021 (2019).10.1016/j.tcsw.2019.100021 ↗