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Approaching theoretical strength in glassy carbon nanolattices

Abstract

The strength of lightweight mechanical metamaterials, which aim to exploit material-strengthening size effects by their microscale lattice structure, has been limited by the resolution of three-dimensional lithography technologies and their restriction to mainly polymer resins. Here, we demonstrate that pyrolysis of polymeric microlattices can overcome these limitations and create ultra-strong glassy carbon nanolattices with single struts shorter than 1 μm and diameters as small as 200 nm. They represent the smallest lattice structures yet produced—achieved by an 80% shrinkage of the polymer during pyrolysis—and exhibit material strengths of up to 3 GPa, corresponding approximately to the theoretical strength of glassy carbon. The strength-to-density ratios of the nanolattices are six times higher than those of reported microlattices. With a honeycomb topology, effective strengths of 1.2 GPa at 0.6 g cm−3 are achieved. Diamond is the only bulk material with a notably higher strength-to-density ratio.

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Figure 1: Pyrolysis of 3D-printed polymeric microlattices creates glassy carbon nanolattices.
Figure 2: Compression experiments of pyrolysed lattices with tetrahedral unit cells.
Figure 3: Compression experiment of a pyrolysed honeycomb structure.
Figure 4: Compressive strength–density Ashby map.

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References

  1. Christensen, J., Kadic, M., Wegener, M. & Kraft, O. Vibrant times for mechanical metamaterials. MRS Commun. 5, 453–462 (2015).

    Article  CAS  Google Scholar 

  2. Lee, J. H., Singer, J. P. & Thomas, E. L. Micro-/nanostructured mechanical metamaterials. Adv. Mater. 24, 4782–4810 (2012).

    Article  CAS  Google Scholar 

  3. Salari-Sharif, L., Schaedler, T. A. & Valdevit, L. Energy dissipation mechanisms in hollow metallic microlattices. J. Mater. Res. 29, 1755–1770 (2014).

    Article  CAS  Google Scholar 

  4. Bückmann, T. et al. Tailored 3D mechanical metamaterials made by dip-in direct-laser-writing optical lithography. Adv. Mater. 24, 2710–2714 (2012).

    Article  Google Scholar 

  5. Fleck, N. A., Deshpande, V. S. & Ashby, M. F. Micro-architectured materials: past, present and future. Proc. R. Soc. Lond. A 466, 2495–2516 (2010).

    Article  CAS  Google Scholar 

  6. Jacobsen, A. J., Barvosa-Carter, W. & Nutt, S. Micro-scale Truss structures formed from self-propagating photopolymer waveguides. Adv. Mater. 19, 3892–3896 (2007).

    Article  CAS  Google Scholar 

  7. Zheng, X. et al. Design and optimization of a light-emitting diode projection micro-stereolithography three-dimensional manufacturing system. Rev. Sci. Instrum. 83, 125001 (2012).

    Article  Google Scholar 

  8. von Freymann, G. et al. Three-dimensional nanostructures for photonics. Adv. Funct. Mater. 20, 1038–1052 (2010).

    Article  CAS  Google Scholar 

  9. Arpin, K. A. et al. Multidimensional architectures for functional optical devices. Adv. Mater. 22, 1084–1101 (2010).

    Article  CAS  Google Scholar 

  10. Gansel, J. K. et al. Gold helix photonic metamaterial as broadband circular polarizer. Science 325, 1513–1515 (2009).

    Article  CAS  Google Scholar 

  11. Fratzl, P. & Weinkamer, R. Nature’s hierarchical materials. Prog. Mater. Sci. 52, 1263–1334 (2007).

    Article  CAS  Google Scholar 

  12. Schaedler, T. A. et al. Ultralight metallic microlattices. Science 334, 962–965 (2011).

    Article  CAS  Google Scholar 

  13. Zheng, X. et al. Ultralight, ultrastiff mechanical metamaterials. Science 344, 1373–1377 (2014).

    Article  CAS  Google Scholar 

  14. Jang, D., Meza, L. R., Greer, F. & Greer, J. R. Fabrication and deformation of three-dimensional hollow ceramic nanostructures. Nature Mater. 12, 893–898 (2013).

    Article  CAS  Google Scholar 

  15. Bauer, J., Hengsbach, S., Tesari, I., Schwaiger, R. & Kraft, O. High-strength cellular ceramic composites with 3D microarchitecture. Proc. Natl Acad. Sci. USA 111, 2453–2458 (2014).

    Article  CAS  Google Scholar 

  16. Meza, L. R., Das, S. & Greer, J. R. Strong, lightweight, and recoverable three-dimensional ceramic nanolattices. Science 345, 1322–1326 (2014).

    Article  CAS  Google Scholar 

  17. Gu, X. W. & Greer, J. R. Ultra-strong architected Cu meso-lattices. Extreme Mech. Lett. 2, 7–14 (2015).

    Article  Google Scholar 

  18. George, T., Deshpande, V. S. & Wadley, H. N. G. Mechanical response of carbon fiber composite sandwich panels with pyramidal truss cores. Composites A 47, 31–40 (2013).

    Article  CAS  Google Scholar 

  19. Dong, L., Deshpande, V. & Wadley, H. Mechanical response of Ti–6Al–4V octet-truss lattice structures. Int. J. Solids Struct. 60, 107–124 (2015).

    Article  Google Scholar 

  20. Weiner, S. & Wagner, H. D. The material bone: structure-mechanical function relations. Annu. Rev. Mater. Sci. 28, 271–298 (1998).

    Article  CAS  Google Scholar 

  21. Yilmaz, E. D., Bechtle, S., Özcoban, H., Schreyer, A. & Schneider, G. A. Fracture behavior of hydroxyapatite nanofibers in dental enamel under micropillar compression. Scr. Mater. 68, 404–407 (2013).

    Article  CAS  Google Scholar 

  22. Meyers, M. A., Lin, A. Y.-M., Chen, P.-Y. & Muyco, J. Mechanical strength of abalone nacre: role of the soft organic layer. J. Mech. Behav. Biomed. Mater. 1, 76–85 (2008).

    Article  Google Scholar 

  23. Gao, H., Ji, B., Jaeger, I. L., Arzt, E. & Fratzl, P. Materials become insensitive to flaws at nanoscale: lesson from nature. Proc. Natl Acad. Sci. USA 100, 5597–5600 (2003).

    Article  CAS  Google Scholar 

  24. Zhu, T., Li, J., Ogata, S. & Yip, S. Mechanics of ultra-strength materials. MRS Bull. 34, 167–172 (2009).

    Article  CAS  Google Scholar 

  25. George, S. M. Atomic layer deposition: an overview. Chem. Rev. 110, 111–131 (2010).

    Article  CAS  Google Scholar 

  26. Fischer, J. & Wegener, M. Three-dimensional direct laser writing inspired by stimulated-emission-depletion microscopy. Opt. Mater. Express 1, 614–624 (2011).

    Article  CAS  Google Scholar 

  27. Bauer, J. et al. Push-to-pull tensile testing of ultra-strong nanoscale ceramic-polymer composites made by additive manufacturing. Extreme Mech. Lett. 3, 105–112 (2015).

    Article  Google Scholar 

  28. Schueller, O. & Brittain, S. Fabrication and characterization of glassy carbon MEMS. Chem. Mater. 4756, 1399–1406 (1997).

    Article  Google Scholar 

  29. Wang, C., Jia, G., Taherabadi, L. H. & Madou, M. J. A novel method for the fabrication of high-aspect ratio C-MEMS structures. J. Microelectromech. Syst. 14, 348–358 (2005).

    Article  Google Scholar 

  30. Lim, Y., Heo, J., Madou, M. & Shin, H. Monolithic carbon structures including suspended single nanowires and nanomeshes as a sensor platform. Nanoscale Res. Lett. 8, 492 (2013).

    Article  Google Scholar 

  31. Burckel, D. B. et al. Lithographically defined porous carbon electrodes. Small 5, 2792–2796 (2009).

    Article  CAS  Google Scholar 

  32. Lee, J. H., Wang, L. F., Boyce, M. C. & Thomas, E. L. Periodic bicontinuous composites for high specific energy absorption. Nano Lett. 12, 4392–4396 (2012).

    Article  CAS  Google Scholar 

  33. Cowlard, F. C. & Lewis, J. C. Vitreous carbon—a new form of carbon. J. Mater. Sci. 2, 507–512 (1967).

    Article  CAS  Google Scholar 

  34. Harris, P. J. F. Fullerene-related structure of commercial glassy carbons. Phil. Mag. 84, 3159–3167 (2004).

    Article  CAS  Google Scholar 

  35. Zhao, J. X., Bradt, R. C. & Walker, P. L. J. The fracture toughness of glassy carbons at elevated temperatures. Carbon N. Y. 23, 15–18 (1985).

    Article  CAS  Google Scholar 

  36. Mcaleavey, A., Coles, G., Edwards, R. L. & Sharpe, W. N. Mechanical properties of SU-8. MRS Proc. 546, 213–218 (1998).

    Article  Google Scholar 

  37. Jacobsen, A. J., Mahoney, S., Carter, W. B. & Nutt, S. Vitreous carbon micro-lattice structures. Carbon N. Y. 49, 1025–1032 (2011).

    Article  CAS  Google Scholar 

  38. Shin, S. J., Kucheyev, S. O., Worsley, M. A. & Hamza, A. V. Mechanical deformation of carbon-nanotube-based aerogels. Carbon N. Y. 50, 5340–5342 (2012).

    Article  CAS  Google Scholar 

  39. Deshpande, V. S. & Fleck, N. A. Collapse of truss core sandwich beams in 3-point bending. Int. J. Solids Struct. 38, 6275–6305 (2001).

    Article  Google Scholar 

  40. Gibson, L. J. & Ashby, M. F. Cellular Solids: Structure and Properties Vol. 2, 2nd edn (Cambridge Univ. Press, 1999).

    Google Scholar 

  41. Wadley, H. N. G. Multifunctional periodic cellular metals. Phil. Trans. R. Soc. Lond. A 364, 31–68 (2005).

    Article  Google Scholar 

  42. Berdova, M. et al. Mechanical assessment of suspended ALD thin films by bulge and shaft-loading techniques. Acta Mater. 66, 370–377 (2014).

    Article  CAS  Google Scholar 

  43. Liu, A. ASM Handbook Volume 19, Fatigue And Fracture 980–1000 (ASM International, 1996).

    Google Scholar 

  44. Bullock, R. E. & Kaae, J. L. Size effect on the strength of glassy carbon. J. Mater. Sci. 14, 920–930 (1979).

    Article  CAS  Google Scholar 

  45. Kawamura, K. & Jenkins, G. A new glassy carbon fibre. J. Mater. Sci. 5, 262–267 (1970).

    Article  CAS  Google Scholar 

  46. Manoharan, M. P., Lee, H., Rajagopalan, R., Foley, H. C. & Haque, M. A. Elastic properties of 4–6 nm-thick glassy carbon thin films. Nanoscale Res. Lett. 5, 14–19 (2010).

    Article  CAS  Google Scholar 

  47. Yakobson, B. I. & Avouris, P. Carbon Nanotubes: Synthesis, Structure, Properties, and Applications (eds Dresselhaus, M. S., Dresselhaus, G. & Avouris, P.) 287–327 (Springer, 2001).

    Book  Google Scholar 

  48. Singh, A., Jayaram, J., Madou, M. & Akbar, S. Pyrolysis of negative photoresists to fabricate carbon structures for microelectromechanical systems and electrochemical applications. J. Electrochem. Soc. 149, 78–83 (2002).

    Article  Google Scholar 

  49. Kim, H.-J., Joo, Y.-H., Lee, S.-M. & Kim, C. Characteristics of photoresist-derived carbon nanofibers for Li-ion full cell electrode. Trans. Electr. Electron. Mater. 15, 265–269 (2014).

    Article  Google Scholar 

  50. Groner, M. D., Fabreguette, F. H., Elam, J. W. & George, S. M. Low-temperature Al2O3 atomic layer deposition. Chem. Mater. 16, 639–645 (2004).

    Article  CAS  Google Scholar 

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Acknowledgements

The authors thank M. Madou for stimulating discussions introducing us to the concept of pyrolysis of resist structures. Financial support of this work by the Robert Bosch-Foundation is gratefully acknowledged.

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Contributions

J.B. and O.K. designed the research; J.B. designed structures; J.B. and A.S. manufactured samples; J.B., performed ex situ measurements; J.B. and R.S. performed in situ measurements; J.B. performed analytical and finite element calculations; J.B., O.K. and R.S. analysed data; J.B. wrote the paper.

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Correspondence to J. Bauer.

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Bauer, J., Schroer, A., Schwaiger, R. et al. Approaching theoretical strength in glassy carbon nanolattices. Nature Mater 15, 438–443 (2016). https://doi.org/10.1038/nmat4561

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