Science Advances

Supplementary Materials

This PDF file includes:

  • section S1. Hole-by-Hole crack creation via electron beam and additional experimental results
  • section S2. Applying Griffith theory of brittle fracture to calculate fracture toughness
  • section S3. Summary of sample geometry
  • section S4. FE-based stress analysis and calculation of J
  • section S5. Uniaxial tensile simulations of pristine multilayered GO
  • section S6. Linear and nonlinear stress analysis
  • section S7. J integral calculations
  • section S8. MD simulations of fracture in multilayered GO
  • fig. S1. Crack creation via electron beam and tensile testing of sample 4.
  • fig. S2. Crack creation via electron beam and tensile testing of sample 1.
  • fig. S3. FE models and mesh.
  • fig. S4. MD simulation model.
  • fig. S5. Nonlinear mechanical properties of GO nanosheets from MD simulations.
  • fig. S6. Stress analysis ahead of the crack tip in sample 1 using FE simulations.
  • fig. S7. Stress analysis ahead of the crack tip in sample 2 using FE simulations.
  • fig. S8. Crackfront nodes and corresponding JIC values for sample 1.
  • fig. S9. JIC for sample 2.
  • fig. S10. Atomic configurations of cracked AB-stacked GO sheets.
  • fig. S11. Stress-strain response for four-layer GO sheet.
  • fig. S12. Fracture in four-layered graphene.
  • table S1. Summary of sample geometry.
  • Legend for movie S1
  • References (46–55)

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Other Supplementary Material for this manuscript includes the following:

  • movie S1 (.mp4 format). In situ TEM tensile test of functionalized graphene multilayers.

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