Author Affiliations
Tianjin Key Laboratory of Modern Experimental Mechanics, Department of Mechanics, Tianjin University, Tianjin 300354, Chinashow less
Fig. 1. Schematic diagram of the graphene/substrate structure under uniaxial tension.
Fig. 2. The force balance of an element of graphene.
Fig. 3. Analysis of interfacial shear stresses at local interface.
Fig. 4. (a) Two-dimensional nonlinear shear-lag model; (b) bilinear cohesive shear-mode (Ⅱ + Ⅲ) law.
Fig. 5. Distributions of graphene’s normal strains (a) εx and (b) εy; distributions of interfacial shear stresses (c) τzx and (d) τzy at the elastic bonding stage (εsx = 0.2%).
Fig. 6. Distributions of graphene’s strains (a) εx and (b) εy; distributions of interfacial shear stresses (c) τzx and (d) τzy along several representative lines.
Fig. 7. Variation of the critical strain for sliding with the width of graphene at different Poisson's ratio of substrate (the lines are the theoretical results, and the scatter points are the FEM results).
Fig. 8. Schematic diagram of interfacial sliding stage.
Fig. 9. Distributions of graphene’s normal strains (a) εx and (b) εy; distributions of interfacial shear stresses (c) τzx and (d) τzy at the interfacial sliding stage (εsx = 1%).
Fig. 10. Variation of compressive strain εyCat the center point C of graphene with its width when the strain of substrate is different.
Fig. 11. Comparisons of the results obtained via one-dimensional and two-dimensional models (W = 21.8 μm): (a) εx and (b) τzx at the elastic bonding stage (εsx = 0.2%); (c) εx and (d) τzx at the interfacial sliding stage (εsx = 1%).
Fig. 12. Comparisons of the results obtained via one-dimensional and two-dimensional models (W = 1 μm): (a) εx and (b) τzx at the interfacial sliding stage (εsx = 1%).
Fig. 13. Fitting results of experimental data by using 2D model: (a)
εm along the centerline (
y =
W/2) when the tensile strain
εsx = 0.25%; (b)
at the center point
C under different tensile loads.