Figure 4.

Critical stresses. Maximal pulling stresses above which the network is detached from the surface in both the link-dominated uncoupled regime (A–D) and the elasticity-dominated coupled regime (E). (A and B) Dependence of the critical stress ${\sigma }_{nn}^c$, normalized to the critical stress ${\sigma }_{nn,s}^c$ for a static network, on $k_{\ell }^0/k_d^0$ (A) and $k_a/k_d^0$ (B). The different curves in A correspond to $k_a/k_d^0=10,1,0.1$ (continuous black line, dashed red line and dashed-dotted blue line, respectively), and in B they correspond to $k_{\ell }^0/k_d^0=0.1,1,10,{10}^2,{10}^3$ (continuous black line, dashed red line, dashed-dotted blue line, double dashed-dotted green line, dashed-doubled dotted orange line, respectively). (C) Static stretch δ_s as a function of $k_{\ell }^0/k_d^0$ for $k_a/k_d^0=10,1,0.1$ (same code as in A). (D) Dependence of the critical stress ${\sigma }_{nn,s}^c$ for a static network on $k_a/k_d^0$. (E) Dynamical regimes in the elasticity-dominated coupled regime, which depend only on the parameters $k_a/k_d^0$ and $Eb/{\rho }_f{k}_{\text{B}}T$. The line η_min separates the parameter space in which the network is detached from the surface and that in which the network maintains contact to the surface. In the latter case, the critical stress is ${\sigma }_{nn}^c=E$. (In color online.)