• Acta Physica Sinica
  • Vol. 69, Issue 5, 056201-1 (2020)
Jia-Hao Bai and Jian-Gang Guo*
Author Affiliations
  • Tianjin Key Laboratory of Modern Experimental Mechanics, Department of Mechanics, Tianjin University, Tianjin 300354, China
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    DOI: 10.7498/aps.69.20191730 Cite this Article
    Jia-Hao Bai, Jian-Gang Guo. Theoretical studies on bidirectional interfacial shear stress transfer of graphene/flexible substrate composite structure[J]. Acta Physica Sinica, 2020, 69(5): 056201-1 Copy Citation Text show less
    Schematic diagram of the graphene/substrate structure under uniaxial tension.
    Fig. 1. Schematic diagram of the graphene/substrate structure under uniaxial tension.
    The force balance of an element of graphene.
    Fig. 2. The force balance of an element of graphene.
    Analysis of interfacial shear stresses at local interface.
    Fig. 3. Analysis of interfacial shear stresses at local interface.
    (a) Two-dimensional nonlinear shear-lag model; (b) bilinear cohesive shear-mode (Ⅱ + Ⅲ) law.
    Fig. 4. (a) Two-dimensional nonlinear shear-lag model; (b) bilinear cohesive shear-mode (Ⅱ + Ⅲ) law.
    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. 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%).
    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. 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.
    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. 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).
    Schematic diagram of interfacial sliding stage.
    Fig. 8. Schematic diagram of interfacial sliding stage.
    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. 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%).
    Variation of compressive strain εyCat the center point C of graphene with its width when the strain of substrate is different.
    Fig. 10. Variation of compressive strain εyCat the center point C of graphene with its width when the strain of substrate is different.
    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. 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%).
    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. 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%).
    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.
    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.
    Jia-Hao Bai, Jian-Gang Guo. Theoretical studies on bidirectional interfacial shear stress transfer of graphene/flexible substrate composite structure[J]. Acta Physica Sinica, 2020, 69(5): 056201-1
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