Fig. 1

Adhesive contact of a rigid spherical indenter with a pre-stretched elastomer, where the radius of the rigid sphere is R, and the principal stretch of the elastomer is λ"

Fig. 2

Schematic diagram of the contact interface"

Fig. 3

Finite element model (FEM) of the adhesive contact between a rigid sphere and a pre-stretched elastomer with a detailed view of the interface (color online)"

Fig. 4

(a)–(c) Comparison between the FSCM and finite element results for force-displacement curves at small classical Tabor numbers (μ∗=0.01, 0.3, 0.5) under different stretching states (λ=0.8, 1, 2); (d) comparison between the FSCM and theoretical results at μ∗=5 under different stretching states (λ=0.8, 1, 2), where the black dashed line is for the results from the JKR model[13], while the red and blue dashed lines are for the results from the model of He and Ding[31] (color online)"

Fig. 5

Force-displacement curves for (a) and (c) μ∗=1 and (b) and (d) μ∗=5 under different stretching states (λ=0.76, 0.8, 1, 2, 5, 10, and 20), where (a) and (b) are compared with the Bradley curves, and (c) and (d) are compared with the JKR curves (color online)"

Fig. 6

(a) Normalized pull-off force as a function of the pre-stretch λ for different classical Tabor parameters (μ∗=0.5, 1, 2, 5); (b) normalized pull-off force as a function of the classical Tabor parameter μ∗ for different pre-stretch values (λ=0.8, 1, 2, 3); (c) normalized pull-off force as a function of the modified Tabor parameter μmod for different pre-stretch values (λ=0.8, 1, 2, 3) (color online)"

Fig. 7

(a) Displacement and (b) central gap at the jump-in and jump-out points as a function of the classical Tabor parameter for different pre-stretched states (λ=0.8, 1, 2, 3); (c) comparison between the FSCM and analytical solutions (SRT and He and Ding[31]) for the displacement at the jump-in and jump-out points as a function of the classical Tabor parameter under different pre-stretches (λ=0.8, 2); (d) comparison between the FSCM and analytical solutions (SRT) for the central gap at the jump-in and jump-out points as a function of the classical Tabor parameter under different pre-stretches (λ=0.8, 2) (color online)"

Fig. 8

Effects of the pre-stretch (λ=0.8, 1, 2, 3) of the elastomer on (a) the surface profile and (b) the pressure distribution at A=0 and μ∗=1 and effects of the pre-stretch (λ=0.8, 1, 2, 3) of the elastomer on (c) the surface profile and (d) the pressure distribution at P/(πΔγR)=0 and μ∗=1 (color online)"