Fig. 1 Self-debonding process of an adhesive thin film on a convex cylindrical surface. ( a ) Initial flat state. ( b ) Bending state under a pair of moments. ( c ) Attachment to a substrate with the same surface. ( d ) The resulting tendency or occurrence of self-debonding after the release of th... More

Fig. 2 Two different interfacial traction–separation laws: ( a ) Dugdale’s constant-stress law and ( b ) trapezoidal law More

Fig. 3 Collapse of the normalized deflection More

Fig. 4 Schematic of ( a ) a four-point bending test and ( b ) a variant with distributed load More

Fig. 5 Functions between Δ ^ and 1/Ω for different reference configurations More

Fig. 6 Phase diagram of self-debonding. Two cylindrical boundary surfaces are Ω = Ω c (i.e., l ^ = l ^ c ) and w ¯ ^ = w ¯ ^ c ( = w ^ max ) . More

Fig. 7 Ω w ^ max as a function of Ω for Ω ∈ [1, 10 3 ] More

Fig. 8 ( a ) Deflection and ( b ) interfacial detachment force results from our theory with infinite k ^ (dashed curves) and FEA with different finite k ^ (scattered dots), where s ^ 0 and l ^ are theoretically set to 0.5 and 1, respectively More

Fig. 9 ( a ) The evolution map on how the distribution of interfacial detachment force varies with Ω for different samples with l ^ = 0.3 (i) or l ^ = 0.6 (ii). ( b ) The unified prediction from our theory (solid curve) and results from FEA (markers) on the maximum deflec... More

Fig. 10 Vertical view of a loaded circular film. The radius of the film is l , and the range of uniform load is a ring with width Δ. More

Fig. 11 Evolution map of ϕ on Δ/ l for different μ values More

Fig. 12 Evolution map of ( w ~ s − w ~ o ) / w ~ o on w ~ o for different μ values, where ( w ~ s − w ~ o ) / w ~ o is expressed as a percentage More

Fig. 1 Mass-spring chains with nonlocal nonlinear springs and nonlinear resonators More

Fig. 2 Roton-like dispersion relation for linear model. The system parameters are chosen N = 3, α 2 = 1, β N = 3, γ = 0.5, α = 1. The blue curve in the figure represents the optical branch and the red curve represents the acoustic branch: ( a ) angular frequency of an acoustic or ela... More

Fig. 3 Nonlinear dispersion curves for different sources and types More