Fig. 5. Comparison of frictional adhesion, JKR and Kendall peel models. We chose
parameters such that a 2-D model of a 50 g gecko could adhere to inclined
planes from 0° to 180°. Stability regions (shaded) and limits
(borders) of each model are plotted in force-space
(F||, F
) measured as a
percentage of body weight. (A) Frictional adhesion given by Eqn 4, Eqn 5 and
Eqn 6 along with current experimental results from setal arrays and toe
detachment angles and previous results for single setae
(Autumn et al., 2000). (B) JKR
model for elastic spherical asperity in contact with flat substrate. Absolute
values for adhesive and shear forces have been increased to comparable levels
by assuming an array of contact asperities each contributing to overall
adhesion and shear (Peressadko and Gorb,
2004). (C) Kendall peel model for thin adhesive films. Maximum
force occurs at 0° (intersection with +F||-axis)
and decreases as peel angle increases (measured below horizontal) towards
90° (intersection with-F
-axis), eventually
reaching a minimum finite value at 180°. Maximum shear for positive normal
force is assumed to be independent of normal force and set at the Kendall peel
model limits for 0° and 180°.